
Thinking Mathematically, Books A La Carte Edition Format: Unbound (saleable)
7th Edition
ISBN: 9780134686516
Author: Blitzer, Robert F.
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10, Problem 1RE
In the figure shown, lines I and m are parallel In Exercises 1-7, match each term with the numbered angle or angles in the figure.
right angle
Expert Solution & Answer

To determine
The right angle using the numbered angles.
Answer to Problem 1RE
Solution:
Right angle draws at
Explanation of Solution
Given:
Explanation:
The right angle is the angle where two lines formed an angle, which equals to 90 degrees. Thus, at the 3rd point, the two lines create a 90-degree angle.
Thus, right angle draw at
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
4. Assume that a risk-free money market account is added to the market described in Q3.
The continuously compounded rate of return on the money market account is log (1.1).
(i) For each given μ, use Lagrange multipliers to determine the proportions (as a
function of μ) of wealth invested in the three assets available for the minimum
variance portfolio with expected return μ.
(ii) Determine the market portfolio in this market and calculate its Sharp ratio.
3. A market consists of two risky assets with rates of return R₁ and R2 and no risk-free
asset. From market data the following have been estimated: ER₁ = 0.25, ER2 = 0.05,
Var R₁ = 0.01, Var R2 = 0.04 and the correlation between R1 and R2 is p = -0.75.
(i) Given that an investor is targeting a total expected return of μ = 0.2. What
portfolio weights should they choose to meet this goal with minimum portfolio
variance? Correct all your calculations up to 4 decimal points.
(ii) Determine the global minimum-variance portfolio and the expected return and
variance of return of this portfolio (4 d.p.).
(iii) Sketch the minimum-variance frontier in the μ-σ² plane and indicate the efficient
frontier.
(iv) Without further calculation, explain how the minimum variance of the investor's
portfolio return will change if the two risky assets were independent.
2. A landlord is about to write a rental contract for a tenant which lasts T months. The
landlord first decides the length T > 0 (need not be an integer) of the contract, the
tenant then signs it and pays an initial handling fee of £100 before moving in. The
landlord collects the total amount of rent erT at the end of the contract at a continuously
compounded rate r> 0, but the contract stipulates that the tenant may leave before T,
in which case the landlord only collects the total rent up until the tenant's departure
time 7. Assume that 7 is exponentially distributed with rate > 0, λ‡r.
(i) Calculate the expected total payment EW the landlord will receive in terms of T.
(ii) Assume that the landlord has logarithmic utility U(w) = log(w - 100) and decides
that the rental rate r should depend on the contract length T by
r(T)
=
λ
√T
1
For each given λ, what T (as a function of X) should the landlord choose so as to
maximise their expected utility? Justify your answer.
Hint. It might be…
Chapter 10 Solutions
Thinking Mathematically, Books A La Carte Edition Format: Unbound (saleable)
Ch. 10.1 - Prob. 1CPCh. 10.1 - CHECK POINT 2 In Figure 10.8, let . Find .
Ch. 10.1 - CHECK POINT 3 In Figure 10.9, if is 88o greater...Ch. 10.1 - CHECK POINT 4 In Figure 10.12, assume that the...Ch. 10.1 - CHECKPOINT 5 In Figure 10.14, assume that . Find...Ch. 10.1 - A B ↔ symbolizes __________ AB, A B ∘ → _____...Ch. 10.1 - 2. A/an __________ angle measures less than 90°,...Ch. 10.1 - Two angles whose measures have a sum of 90° are...Ch. 10.1 - When two lines intersect, the opposite angles are...Ch. 10.1 - Fill in each blank so that the resulting statement...
Ch. 10.1 - 6. Lines that intersect at an angle of are called...Ch. 10.1 - In Exercises 7-12, determine whether each...Ch. 10.1 - In Exercises 7-12, determine whether each...Ch. 10.1 - In Exercises 7-12, determine whether each...Ch. 10.1 - In Exercises 7-12, determine whether each...Ch. 10.1 - Prob. 11CVCCh. 10.1 - Prob. 12CVCCh. 10.1 - 1. The hour hand of a clock moves from 12 to 5...Ch. 10.1 - The hour hand of a clock moves from 12 to 4...Ch. 10.1 - The hour hand of a clock moves from 1 to 4...Ch. 10.1 - The hour hand of a clock moves from 1 to 7...Ch. 10.1 - In Exercises 5-10, use the protractor to find the...Ch. 10.1 - In Exercises 5-10, use the protractor to find the...Ch. 10.1 - In Exercises 5-10, use the protractor to find the...Ch. 10.1 - In Exercises 5-10, use the protractor to find the...Ch. 10.1 - In Exercises 5-10, use the protractor to find the...Ch. 10.1 - In Exercises 5-10, use the protractor to find the...Ch. 10.1 - In Exercises 11-14, find the measure of the angle...Ch. 10.1 - In Exercises 11-14, find the measure of the angle...Ch. 10.1 - In Exercises 11-14, find the measure of the angle...Ch. 10.1 - In Exercises 11-14, find the measure of the angle...Ch. 10.1 - In Exercises 15-20, find the measure of the...Ch. 10.1 - In Exercises 15-20, find the measure of the...Ch. 10.1 - In Exercises 15-20, find the measure of the...Ch. 10.1 - In Exercises 15-20, find the measure of the...Ch. 10.1 - In Exercises 15-20, find the measure of the...Ch. 10.1 - In Exercises 15-20, find the measure of the...Ch. 10.1 - In Exercises 21-24, use an algebraic equation to...Ch. 10.1 - In Exercises 21-24, use an algebraic equation to...Ch. 10.1 - In Exercises 21-24, use an algebraic equation to...Ch. 10.1 - In Exercises 21-24, use an algebraic equation to...Ch. 10.1 - In Exercises 25-28, find the measures of angles...Ch. 10.1 - In Exercises 25-28, find the measures of angles...Ch. 10.1 - In Exercises 25-28, find the measures of angles...Ch. 10.1 - In Exercises 25-28, find the measures of angles...Ch. 10.1 - The figures for Exercises 29-30 show two parallel...Ch. 10.1 - The figures for Exercises 29-30 show two parallel...Ch. 10.1 - Prob. 31ECh. 10.1 - The figures for Exercises 31-34 show two parallel...Ch. 10.1 - The figures for Exercises 31-34 show two parallel...Ch. 10.1 - The figures for Exercises 31-34 show two parallel...Ch. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - Prob. 43ECh. 10.1 - In Exercises 43-46, use an algebraic equation to...Ch. 10.1 - Prob. 45ECh. 10.1 - In Exercises 43-46, use an algebraic equation to...Ch. 10.1 - Prob. 47ECh. 10.1 - Because geometric figures consist of sets of...Ch. 10.1 - Prob. 49ECh. 10.1 - Because geometric figures consist of sets of...Ch. 10.1 - Prob. 51ECh. 10.1 - Because geometric figures consist of sets of...Ch. 10.1 - Prob. 53ECh. 10.1 - Because geometric figures consist of sets of...Ch. 10.1 - The picture shows the top or an umbrella in which...Ch. 10.1 - 56. In the musical Company, composer Stephen...Ch. 10.1 - Prob. 57ECh. 10.1 - In Exercises 58-59, consider the following...Ch. 10.1 - Prob. 59ECh. 10.1 - The table indicates hip angles for various biking...Ch. 10.1 - Prob. 61ECh. 10.1 - The table indicates hip angles for various biking...Ch. 10.1 - The table indicates hip angles for various biking...Ch. 10.1 - Prob. 64ECh. 10.1 - Prob. 65ECh. 10.1 - Describe each type of angle: acute, right, obtuse,...Ch. 10.1 - Prob. 67ECh. 10.1 - What are supplementary angles? Describe how to...Ch. 10.1 - Prob. 69ECh. 10.1 - If two parallel lines are intersected by a...Ch. 10.1 - Prob. 71ECh. 10.1 - Prob. 72ECh. 10.1 - Prob. 73ECh. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - Prob. 76ECh. 10.1 - Prob. 77ECh. 10.1 - If m ∡ A G B = m ∡ B G C , and m ∡ C G D = m...Ch. 10.2 - CHECK POINT 1 In Figure 10.16. suppose that m ∡ B...Ch. 10.2 - CHECK POINT 2 In Figure 10.17, suppose that the...Ch. 10.2 - CHECK POINT 3 Explain why the triangles in Figure...Ch. 10.2 - CHECK POINT 4 Find the height of the lookout tower...Ch. 10.2 - CHECK POINT 5 Find the length of the hypotenuse in...Ch. 10.2 - CHECK POINT 6 Figure 10 .28 shows the dimensions...Ch. 10.2 - The sum of the measures of the three angles of any...Ch. 10.2 - Prob. 2CVCCh. 10.2 - A triangle in which one angle measures more than...Ch. 10.2 - Prob. 4CVCCh. 10.2 - 5. A triangle whose sides are all the same length...Ch. 10.2 - Prob. 6CVCCh. 10.2 - 7. Triangles that have the same shape, but not...Ch. 10.2 - The Pythagorean Theorem states that in any...Ch. 10.2 - In Exercises 9-13, determine whether each...Ch. 10.2 - In Exercises 9-13, determine whether each...Ch. 10.2 - In Exercises 9-13, determine whether each...Ch. 10.2 - In Exercises 9-13, determine whether each...Ch. 10.2 - In Exercises 9-13, determine whether each...Ch. 10.2 - 1. In Exercises 1-4, find the measure of angle A...Ch. 10.2 - In Exercises 1-4, find the measure of angle A for...Ch. 10.2 - In Exercises 1-4, find the measure of angle A for...Ch. 10.2 - In Exercises 1-4, find the measure of angle A for...Ch. 10.2 - In Exercises 5-6, find the measures of angles 1...Ch. 10.2 - In Exercises 5-6, find the measures of angles 1...Ch. 10.2 - We have seen that isosceles triangles have two...Ch. 10.2 - We have seen that isosceles triangles have two...Ch. 10.2 - In Exercises 9-10, lines I and m are parallel....Ch. 10.2 - In Exercises 9-10, lines I and m are parallel....Ch. 10.2 - In Exercises 11-16, explain why the triangles are...Ch. 10.2 - In Exercises 11-16, explain why the triangles are...Ch. 10.2 - In Exercises 11-16, explain why the triangles are...Ch. 10.2 - In Exercises 11-16, explain why the triangles are...Ch. 10.2 - In Exercises 11-16, explain why the triangles are...Ch. 10.2 - In Exercises 11-16, explain why the triangles are...Ch. 10.2 - In Exercises 17-19, ABC and ADE are similar. Find...Ch. 10.2 - In Exercises 17-19, ABC and ADE are similar. Find...Ch. 10.2 - In Exercises 17-19, Δ ABC and Δ ADE are similar....Ch. 10.2 - In the diagram for Exercises 17-19, suppose that...Ch. 10.2 - In Exercises 21-26, use the Pythagorean Theorem to...Ch. 10.2 - In Exercises 21-26, use the Pythagorean Theorem to...Ch. 10.2 - In Exercises 21-26, use the Pythagorean Theorem to...Ch. 10.2 - In Exercises 21-26, use the Pythagorean Theorem to...Ch. 10.2 - In Exercises 21-26, use the Pythagorean Theorem to...Ch. 10.2 - In Exercises 21-26, use the Pythagorean Theorem to...Ch. 10.2 - In Exercises 27-36, determine whether Δ I and Δ I...Ch. 10.2 - In Exercises 27-36, determine whether I and I are...Ch. 10.2 - In Exercises 27-36, determine whether I and I are...Ch. 10.2 - In Exercises 27-36, determine whether Δ I and Δ I...Ch. 10.2 - In Exercises 27-36, determine whether I and I are...Ch. 10.2 - In Exercises 27-36, determine whether Δ I and Δ I...Ch. 10.2 - In Exercises 27-36, determine whether I and I are...Ch. 10.2 - In Exercises 27-36, determine whether I and I are...Ch. 10.2 - In Exercises 27-36, determine whether Δ I and Δ I...Ch. 10.2 - In Exercises 27-36, determine whether Δ I and Δ I...Ch. 10.2 - Use similar triangles to solve Exercises 37-38. A...Ch. 10.2 - Use similar triangles to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Use the Pythagorean Theorem to solve Exercises...Ch. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Make Sense? In Exercises 56-59, determine whether...Ch. 10.2 - Prob. 58ECh. 10.2 - Prob. 59ECh. 10.2 - Make Sense? In Exercises 56-59, determine whether...Ch. 10.2 - 61. What is the length of in the accompanying...Ch. 10.2 - Prob. 62ECh. 10.3 - CHECK POINT I A rectangular field has a length of...Ch. 10.3 - CHECK POINT 2 a. Find the sum of the measures of...Ch. 10.3 - Prob. 3CPCh. 10.3 - Prob. 1CVCCh. 10.3 - Prob. 2CVCCh. 10.3 - Prob. 3CVCCh. 10.3 - Prob. 4CVCCh. 10.3 - A parallelogram with all sides of equal length...Ch. 10.3 - Prob. 6CVCCh. 10.3 - A parallelogram with four right angles and all...Ch. 10.3 - Prob. 8CVCCh. 10.3 - The perimeter, P, of a rectangle with length / and...Ch. 10.3 - Prob. 10CVCCh. 10.3 - A pattern consisting of the repeated use of the...Ch. 10.3 - Every parallelogram is a rhombus. ____Ch. 10.3 - In Exercises 12-18, determine whether each...Ch. 10.3 - In Exercises 12-18, determine whether each...Ch. 10.3 - In Exercises 12-18, determine whether each...Ch. 10.3 - In Exercises 12-18, determine whether each...Ch. 10.3 - 17. Every rhombus is a regular polygon.______
Ch. 10.3 - Prob. 18CVCCh. 10.3 - In Exercises 1-4, use the number of sides to name...Ch. 10.3 - In Exercises 1-4, use the number of sides to name...Ch. 10.3 - In Exercises 1-4, use the number of sides to name...Ch. 10.3 - In Exercises 1-4, use the number of sides to name...Ch. 10.3 - Use these quadrilaterals to solve Exercises 5-10....Ch. 10.3 - Prob. 6ECh. 10.3 - Use these quadrilaterals to solve Exercises 5-10....Ch. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 11-20, find the perimeter of the...Ch. 10.3 - In Exercises 21-24, find the perimeter of the...Ch. 10.3 - In Exercises 21-24, find the perimeter of the...Ch. 10.3 - In Exercises 21-24, find the perimeter of the...Ch. 10.3 - In Exercises 21-24, find the perimeter of the...Ch. 10.3 - Find the sum of the measures of the angles of a...Ch. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - In Exercises 29-30, each figure shows a regular...Ch. 10.3 - Prob. 30ECh. 10.3 - In Exercises 31-32, a. Find the sum of the...Ch. 10.3 - In Exercises 31-32, a. Find the sum of the...Ch. 10.3 - In Exercises 33-36, tessellations formed by two or...Ch. 10.3 - In Exercises 33-36, tessellations formed by two or...Ch. 10.3 - In Exercises 33-36, tessellations formed by two or...Ch. 10.3 - In Exercises 33-36, tessellations formed by two or...Ch. 10.3 - 37. Can a tessellation be created using only...Ch. 10.3 - 38. Can a tessellation be created using only...Ch. 10.3 - In Exercises 39-42, use an algebraic equation to...Ch. 10.3 - In Exercises 39-42, use an algebraic equation to...Ch. 10.3 - In Exercises 39-42, use an algebraic equation to...Ch. 10.3 - In Exercises 39-42, use an algebraic equation to...Ch. 10.3 - Prob. 43ECh. 10.3 - In Exercises 43-44, use algebraic equations to...Ch. 10.3 - In the figure shown, the artist has cunningly...Ch. 10.3 - In the figure shown, the artist has cunningly...Ch. 10.3 - A school playground is in the shape of a rectangle...Ch. 10.3 - A rectangular field is 70 feet long and 30 feet...Ch. 10.3 - In Exercises 49-50, refer to the appropriate...Ch. 10.3 - In Exercises 49-50, refer to (he appropriate...Ch. 10.3 - One side of a square flower bed is 8 feet long....Ch. 10.3 - 50. What will it cost to place baseboard around...Ch. 10.3 - Prob. 53ECh. 10.3 - Prob. 54ECh. 10.3 - Prob. 55ECh. 10.3 - Prob. 56ECh. 10.3 - Prob. 57ECh. 10.3 - Prob. 58ECh. 10.3 - Prob. 59ECh. 10.3 - Prob. 60ECh. 10.3 - Prob. 61ECh. 10.3 - Prob. 62ECh. 10.3 - Make Sense? In Exercises 58-61, determine whether...Ch. 10.3 - In Exercises 62-63, write an algebraic expression...Ch. 10.3 - Prob. 65ECh. 10.3 - 64. Find in the figure shown.
Ch. 10.3 - Group members should consult sites on the Internet...Ch. 10.4 - CHECK POINT I Find the area of the path described...Ch. 10.4 - CHECK POINT 2 What will it cost to carpet a...Ch. 10.4 - CHECK POINT 3 Find the area of a parallelogram...Ch. 10.4 - CHECK POINT 4 A sailboat has a triangular sail...Ch. 10.4 - CHECK POINT 5 Find the area of a trapezoid with...Ch. 10.4 - CHECK POINT 6 Find the circumference of a circle...Ch. 10.4 - CHECK POINT 7 In Figure 10.48, suppose that the...Ch. 10.4 - CHECK POINT 8 Which one of the following is the...Ch. 10.4 - The area. A, of a rectangle with length l and...Ch. 10.4 - The area, A, of a square with one side measuring s...Ch. 10.4 - Fill in each blank so that the resulting statement...Ch. 10.4 - The area, A. of a triangle with height h and base...Ch. 10.4 - The area, A, of a trapezoid with parallel bases a...Ch. 10.4 - 6. The circumference, C, of a circle with diameter...Ch. 10.4 - The circumference, C, of a circle with radius r is...Ch. 10.4 - The area, A, of a circle with radius r is given by...Ch. 10.4 - In Exercises 9-13, determine whether each...Ch. 10.4 - In Exercises 9-13, determine whether each...Ch. 10.4 - In Exercises 9-13, determine whether each...Ch. 10.4 - In Exercises 9-13, determine whether each...Ch. 10.4 - In Exercises 9-13, determine whether each...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - Prob. 7ECh. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 1-14, use the formulas developed in...Ch. 10.4 - In Exercises 15-18, find the circumference and...Ch. 10.4 - In Exercises 15-18, find the circumference and...Ch. 10.4 - In Exercises 15-18, find the circumference and...Ch. 10.4 - Find the area of each figure in Exercises 19-24....Ch. 10.4 - Find the area of each figure in Exercises 19-24....Ch. 10.4 - Find the area of each figure in Exercises 19-24....Ch. 10.4 - Find the area of each figure in Exercises 19-24....Ch. 10.4 - Find the area of each figure in Exercises 19-24....Ch. 10.4 - Find the area of each figure in Exercises 19-24....Ch. 10.4 - In Exercises 25-28, find a formula for the total...Ch. 10.4 - In Exercises 25-28, find a formula for the total...Ch. 10.4 - In Exercises 25-28, find a formula for the total...Ch. 10.4 - In Exercises 25-28, find a formula for the total...Ch. 10.4 - In Exercises 29-30, find the area of each shaded...Ch. 10.4 - In Exercises 29-30, find the area of each shaded...Ch. 10.4 - In Exercises 31-34, find the area of each shaded...Ch. 10.4 - In Exercises 31-34, find the area of each shaded...Ch. 10.4 - In Exercises 31-34, find the area of each shaded...Ch. 10.4 - In Exercises 31-34, find the area of each shaded...Ch. 10.4 - Prob. 35ECh. 10.4 - In Exercises 35-36, find the perimeter and the...Ch. 10.4 - What will it cost to carpet a rectangular floor...Ch. 10.4 - A plastering contractor charges $18 per square...Ch. 10.4 - A rectangular field measures SI meters by IOS...Ch. 10.4 - A rectangular floor measures 20 feet by 25 feel....Ch. 10.4 - Prob. 41ECh. 10.4 - 40. A rectangular room measures 12 feet by 15...Ch. 10.4 - The lot in the figure shown, except for the house,...Ch. 10.4 - 42. Taxpayers with an office in their home may...Ch. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - The diagram shows the floor plan for a one-story...Ch. 10.4 - Prob. 48ECh. 10.4 - In Exercises 47-48, express the required...Ch. 10.4 - In Exercises 47-48, express the required...Ch. 10.4 - How many plants spaced every 6 inches are needed...Ch. 10.4 - Prob. 52ECh. 10.4 - 51. Which one of the following is a better buy: a...Ch. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.4 - Prob. 57ECh. 10.4 - Prob. 58ECh. 10.4 - Prob. 59ECh. 10.4 - Prob. 60ECh. 10.4 - Prob. 61ECh. 10.4 - Prob. 62ECh. 10.4 - Prob. 63ECh. 10.4 - Prob. 64ECh. 10.4 - Prob. 65ECh. 10.4 - A rectangular swimming pool measures 14 feet by 30...Ch. 10.4 - 65. A proposed oil pipeline will cross 16.8 miles...Ch. 10.5 - CHECK POINT I Find the volume of a rectangular...Ch. 10.5 - Prob. 2CPCh. 10.5 - Prob. 3CPCh. 10.5 - CHECK POINT 4 Find the volume, to the nearest...Ch. 10.5 - CHECK POINT 5 Find the volume, to the nearest...Ch. 10.5 - Prob. 6CPCh. 10.5 - CHECK POINT 7 If the length, width and height...Ch. 10.5 - The volume, V, of a rectangular solid with length...Ch. 10.5 - The volume, V, of a cube with an edge that...Ch. 10.5 - Prob. 3CVCCh. 10.5 - The volume, V, of a pyramid with base area B and...Ch. 10.5 - The volume, V, of a right circular cylinder with...Ch. 10.5 - Prob. 6CVCCh. 10.5 - 7. The volume, V, of a sphere of radius r is given...Ch. 10.5 - In Exercises 8-14, determine whether each...Ch. 10.5 - In Exercises 8-14, determine whether each...Ch. 10.5 - In Exercises 8-14, determine whether each...Ch. 10.5 - In Exercises 8-14, determine whether each...Ch. 10.5 - In Exercises 8-14, determine whether each...Ch. 10.5 - Prob. 13CVCCh. 10.5 - Prob. 14CVCCh. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - Prob. 10ECh. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - Prob. 13ECh. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - In Exercises 1-20, find the volume of each figure....Ch. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - In Exercises 21-24, find the surface area of each...Ch. 10.5 - Prob. 23ECh. 10.5 - Iii Exercises 21-24, find the surface area of each...Ch. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - 31. Find the surface area and the volume of the...Ch. 10.5 - Find the surface area and the volume of the cement...Ch. 10.5 - 33. Find the surface area of the figure shown.
Ch. 10.5 - A machine produces open boxes using square sheets...Ch. 10.5 - 35. Find the ratio, reduced to lowest terms, of...Ch. 10.5 - Find the ratio, reduced to lowest terms, of the...Ch. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - What is the cost of concrete for a walkway that is...Ch. 10.5 - Prob. 41ECh. 10.5 - Prob. 42ECh. 10.5 - 43. The Great Pyramid outside Cairo, Egypt, has a...Ch. 10.5 - Prob. 44ECh. 10.5 - You are about to sue your contractor who promised...Ch. 10.5 - Two cylindrical cans of soup sell for the same...Ch. 10.5 - 47. A circular backyard pool has a diameter of 24...Ch. 10.5 - The tunnel under the English Channel that connects...Ch. 10.5 - 49. Explain the following analogy:
In terms of...Ch. 10.5 - 50. Explain why a cylinder is not a polyhedron.
Ch. 10.5 - Make Sense? In Exercises 51-54, determine whether...Ch. 10.5 - Prob. 52ECh. 10.5 - Prob. 53ECh. 10.5 - Prob. 54ECh. 10.5 - Prob. 55ECh. 10.5 - Prob. 56ECh. 10.5 - In Exercises 57-58, find the volume of the darkly...Ch. 10.5 - In Exercises 57-58, find the volume of the darkly...Ch. 10.5 - Find the surface area of the figure shown.Ch. 10.6 - HECK POINT I Find thc sine, cosine, and tangent of...Ch. 10.6 - CHECK POINT 2 In Figure 10.62, let m ∡ A = 62 ∘ ...Ch. 10.6 - CHECK POINT 3 In Figure 10.62. Id m ∡ A = 62 ∘ ...Ch. 10.6 - CHECK POINT 4 From a point on level ground 80 feet...Ch. 10.6 - CHECK POINT 5 A flagpole I hat is 14 meters tall...Ch. 10.6 - Fill in each blank so that the resulting statement...Ch. 10.6 - Fill in each blank so that the resulting statement...Ch. 10.6 - Prob. 3CVCCh. 10.6 - Prob. 4CVCCh. 10.6 - An angle formed by a horizontal line and the line...Ch. 10.6 - In Exercises 6-9, determine whether each statement...Ch. 10.6 - In Exercises 6-9, determine whether each statement...Ch. 10.6 - In Exercises 6-9, determine whether each statement...Ch. 10.6 - In Exercises 6-9, determine whether each statement...Ch. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - In Exercises 1-8, use the given right triangles to...Ch. 10.6 - Prob. 4ECh. 10.6 - In Exercises 1-8, use the given right triangles to...Ch. 10.6 - Prob. 6ECh. 10.6 - In Exercises 1-8, use the given right triangles to...Ch. 10.6 - Prob. 8ECh. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.6 - In Exercises 9-18, find the measure of the side of...Ch. 10.6 - In Exercises 9-18, find the measure of the side of...Ch. 10.6 - In Exercises 9-18, find the measure of the side of...Ch. 10.6 - In Exercises 9-18, find the measure of the side of...Ch. 10.6 - Prob. 15ECh. 10.6 - In Exercises 9-18, find the measure of the side of...Ch. 10.6 - In Exercises 9-18, find the measure of the side of...Ch. 10.6 - Prob. 18ECh. 10.6 - In Exercises 19-22, find the measures of the parts...Ch. 10.6 - Prob. 20ECh. 10.6 - In Exercises 19-22, find the measures of the parts...Ch. 10.6 - Prob. 22ECh. 10.6 - In Exercises 23-26, use the inverse trigonometric...Ch. 10.6 - In Exercises 23-26, use the inverse trigonometric...Ch. 10.6 - In Exercises 23-26, use the inverse trigonometric...Ch. 10.6 - In Exercises 23-26, use the inverse trigonometric...Ch. 10.6 - In Exercises 27-34, find the length x to the...Ch. 10.6 - In Exercises 27-34, find the length x to the...Ch. 10.6 - Prob. 29ECh. 10.6 - In Exercises 27-34, find the length x to the...Ch. 10.6 - Prob. 31ECh. 10.6 - In Exercises 27-34, find the length x to the...Ch. 10.6 - In Exercises 27-34, find the length x to the...Ch. 10.6 - In Exercises 27-34, find the length x to the...Ch. 10.6 - Prob. 35ECh. 10.6 - 36. At a certain time of day, the angle of...Ch. 10.6 - Prob. 37ECh. 10.6 - A road is inclined at an angle of 5°. After...Ch. 10.6 - Prob. 39ECh. 10.6 - From a point on level ground 30 yards from the...Ch. 10.6 - Prob. 41ECh. 10.6 - A 200-foot cliff drops vertically into the ocean....Ch. 10.6 - A lower that is 125 feet tall casts a shadow 172...Ch. 10.6 - The Washington Monument is 555 feet high. If you...Ch. 10.6 - A helicopter hovers 1000 feet above a small...Ch. 10.6 - 46. A police helicopter is flying at 800 feet. A...Ch. 10.6 - A wheelchair ramp is to be built beside the steps...Ch. 10.6 - A kite flies at a height of 30 feet when 65 feet...Ch. 10.6 - If you are given the lengths of the sides of a...Ch. 10.6 - Prob. 50ECh. 10.6 - 51. If one of the acute angles of a right triangle...Ch. 10.6 - Prob. 52ECh. 10.6 - Describe what is meant by an angle of elevation...Ch. 10.6 - Prob. 54ECh. 10.6 - Use a calculator to find each of the following:...Ch. 10.6 - Prob. 56ECh. 10.6 - Make Sense? In Exercises 57-60, determine whether...Ch. 10.6 - Prob. 58ECh. 10.6 - Make Sense? In Exercises 57-60, determine whether...Ch. 10.6 - Prob. 60ECh. 10.6 - Explain why the sine or cosine of an acute angle...Ch. 10.6 - Prob. 62ECh. 10.6 - Prob. 63ECh. 10.6 - Prob. 64ECh. 10.7 - CHECK POINT I Create a graph with two oven and two...Ch. 10.7 - In the geometry of graphs, a point is called...Ch. 10.7 - Prob. 2CVCCh. 10.7 - Prob. 3CVCCh. 10.7 - Prob. 4CVCCh. 10.7 - Prob. 5CVCCh. 10.7 - Prob. 6CVCCh. 10.7 - Prob. 7CVCCh. 10.7 - Prob. 8CVCCh. 10.7 - Prob. 9CVCCh. 10.7 - Prob. 10CVCCh. 10.7 - Prob. 1ECh. 10.7 - For each graph in Exercises 1-6, a. Is the graph...Ch. 10.7 - Prob. 3ECh. 10.7 - For each graph in Exercises 1-6, a. Is the graph...Ch. 10.7 - For each graph in Exercises 1-6, a. Is the graph...Ch. 10.7 - For each graph in Exercises 1-6, a. Is the graph...Ch. 10.7 - Prob. 7ECh. 10.7 - The model shows the way that carbon atoms (red)...Ch. 10.7 - Prob. 9ECh. 10.7 - The figure below on the left shows the floor plan...Ch. 10.7 - Prob. 11ECh. 10.7 - The figure below on the left shows the floor plan...Ch. 10.7 - Prob. 13ECh. 10.7 - In Exercises 14-17, give the genus of each object.Ch. 10.7 - Prob. 15ECh. 10.7 - In Exercises 14-17, give the genus of each...Ch. 10.7 - Prob. 17ECh. 10.7 - In Exercises 14-17, which objects are...Ch. 10.7 - Prob. 19ECh. 10.7 - 20. What does the figure shown illustrate about...Ch. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - 31. Describe how a rectangular solid and a sphere...Ch. 10.7 - 32. State the assumption that Euclid made about...Ch. 10.7 - 33. How does hyperbolic geometry differ from...Ch. 10.7 - Prob. 34ECh. 10.7 - Prob. 35ECh. 10.7 - Prob. 36ECh. 10.7 - Prob. 37ECh. 10.7 - Prob. 38ECh. 10.7 - Prob. 39ECh. 10.7 - 40. Explain what this short poem by Jonathan Swift...Ch. 10.7 - 41. In Tom Stoppard's play Arcadia, the characters...Ch. 10.7 - Prob. 42ECh. 10.7 - Prob. 43ECh. 10.7 - Prob. 44ECh. 10.7 - Prob. 45ECh. 10.7 - This activity is suggested for two or three...Ch. 10.7 - Research non-Euclidean geometry and plan a seminar...Ch. 10.7 - 48. Albert Einstein's theory of general relativity...Ch. 10 - In the figure shown, lines I and m are parallel In...Ch. 10 - In the figure shown, lines I and m are parallel In...Ch. 10 - Prob. 3RECh. 10 - In the figure shown, lines I and m are parallel In...Ch. 10 - In the figure shown, lines l and m are parallel In...Ch. 10 - In the figure shown, lines I and m are parallel In...Ch. 10 - In the figure shown, lines l and m are parallel In...Ch. 10 - In Exercises 8-9, find the measure of the angle in...Ch. 10 - In Exercises 8-9, find the measure of the angle in...Ch. 10 - If an angle measures 73 ∘ , find the measure of...Ch. 10 - 11. If an angle measures , find the measure of its...Ch. 10 - 12. In the figure shown, find the measures of...Ch. 10 - 13. In the figure shown, two parallel lines are...Ch. 10 - In Exercises 14-15, find the measure of angle A...Ch. 10 - In Exercises 14-15, find the measure of angle A...Ch. 10 - Find the measures of angles 1 through 5 in the...Ch. 10 - In the figure shown, lines l and m are parallel....Ch. 10 - In Exercises 18-19, use similar triangles and the...Ch. 10 - In Exercises 18-19, use similar triangles and the...Ch. 10 - In Exercises 20-22, use the Pythagorean Theorem to...Ch. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - Stale Euclid's assumption about parallel lines...Ch. 10 - Prob. 74RECh. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Prob. 4TCh. 10 - Prob. 5TCh. 10 - Prob. 6TCh. 10 - Prob. 7TCh. 10 - Prob. 8TCh. 10 - Prob. 9TCh. 10 - Prob. 10TCh. 10 - Prob. 11TCh. 10 - Prob. 12TCh. 10 - Prob. 13TCh. 10 - Prob. 14TCh. 10 - Prob. 15TCh. 10 - Prob. 16TCh. 10 - Prob. 17TCh. 10 - Prob. 18TCh. 10 - Prob. 19TCh. 10 - Prob. 20TCh. 10 - Prob. 21TCh. 10 - Prob. 22T
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Please solving problem2 Problem1 We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.arrow_forwardPlease ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.arrow_forwardThis question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one. A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture. A B A B at some instant, the piston will be tangent to the circle (a) Express the x and y coordinates of point A as functions of t: x= 2 cos(3πt) and y= 2 sin(3t) (b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds: -cot(3πt) sin(3лt) (c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411- 4 -2 sin (3лt) (d)…arrow_forward
- 5. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.AE.003. y y= ex² 0 Video Example x EXAMPLE 3 (a) Use the Midpoint Rule with n = 10 to approximate the integral कर L'ex² dx. (b) Give an upper bound for the error involved in this approximation. SOLUTION 8+2 1 L'ex² d (a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.) dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)] 0.1 [0.0025 +0.0225 + + e0.0625 + 0.1225 e0.3025 + e0.4225 + e0.2025 + + e0.5625 €0.7225 +0.9025] The figure illustrates this approximation. (b) Since f(x) = ex², we have f'(x) = 0 ≤ f'(x) = < 6e. ASK YOUR TEACHER and f'(x) = Also, since 0 ≤ x ≤ 1 we have x² ≤ and so Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final answer to five decimal places.) 6e(1)3 e 24( = ≈arrow_forward1. Consider the following preference ballots: Number of voters Rankings 6 5 4 2 1st choice A DCB DC 2nd choice B B D 3rd choice DCBD 4th choice CA AAA For each of the four voting systems we have studied, determine who would win the election in each case. (Remember: For plurality with runoff, all but the top two vote-getters are simultaneously eliminated at the end of round 1.)arrow_forwardPractice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forward
- Problem 1.We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…arrow_forwardWhat is the standard scores associated to the left of z is 0.1446arrow_forward2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) ASK YOUR TEACHER 3 1 3 + dy, n = 6 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It Watch Itarrow_forward
- This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one. A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture. B A B at some instant, the piston will be tangent to the circle (a) Express the x and y coordinates of point A as functions of t: x= 2 cos(3πt) and y= 2 sin(3πt) (b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds: -cot (3πt) (c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +41/1 (d) Express the slope of the rod…arrow_forwardConsider the proof below: Proposition: If m is an even integer, then 5m +4 is an even integer. Proof: We see that |5m+4=10n+4 = 2(5n+2). Therefore, 5m+4 is an even integer. **Note: you may assume the proof is valid, just poorly written. Based upon the Section 1.3 screencast and the reading assignment, select all writing guidelines that are missing in the proof. Proof begins by stating assumptions ✓ Proof has an invitational tone/uses collective pronouns Proof is written in complete sentences Each step is justified ☐ Proof has a clear conclusionarrow_forwardNote: The purpose of this problem below is to use computational techniques (Excelspreadsheet, Matlab, R, Python, etc.) and code the dynamic programming ideas seen inclass. Please provide the numerical answer to the questions as well as a sample of yourwork (spreadsheet, code file, etc.).We consider an N-period binomial model with the following properties: N = 60, thecurrent stock price is S0 = 1000; on each period, the stock price increases by 0.5% whenit moves up and decreases by 0.3% when it moves down. The annual interest rate on themoney market is 5%. (Notice that this model is a CRR model, which means that thebinomial tree is recombining.)(a) Find the price at time t0 = 0 of a (European) call option with strike price K = 1040and maturity T = 1 year.(b) Find the price at time t0 = 0 of a (European) put option with strike price K = 1040and maturity T = 1 year.(c) We consider now, that you are at time t5 (i.e. after 5 periods, which represents 1month later). Assume that the stock…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
- Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,

Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,

Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning


Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY