Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Textbook Question
Chapter 7.4, Problem 39ES
Given triangle LMN and triangle QRS, do the conditions
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Example: For what odd primes p is 11 a quadratic residue modulo p?
Solution:
This is really asking "when is (11 | p) =1?"
First, 11 = 3 (mod 4). To use LQR, consider two cases p = 1 or 3 (mod 4):
p=1 We have 1 = (11 | p) = (p | 11), so p is a quadratic residue modulo 11. By
brute force:
121, 224, 3² = 9, 4² = 5, 5² = 3 (mod 11)
so the quadratic residues mod 11 are 1,3,4,5,9.
Using CRT for p = 1 (mod 4) & p = 1,3,4,5,9 (mod 11).
p = 1
(mod 4)
&
p = 1
(mod 11
gives p
1
(mod 44).
p = 1
(mod 4)
&
p = 3
(mod 11)
gives p25
(mod 44).
p = 1
(mod 4)
&
p = 4
(mod 11)
gives p=37
(mod 44).
p = 1
(mod 4)
&
p = 5
(mod 11)
gives p
5
(mod 44).
p = 1
(mod 4)
&
p=9
(mod 11)
gives p
9
(mod 44).
So p =1,5,9,25,37 (mod 44).
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Jamal wants to save $48,000 for a down payment on a home. How much will he need to invest in an
account with 11.8% APR, compounding daily, in order to reach his goal in 10 years? Round to the
nearest dollar.
Chapter 7 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 7.1 - Draw the yin-and-yang symbol shown at the right....Ch. 7.1 - Prob. 2EECh. 7.1 - Prob. 3EECh. 7.1 - Draw the heart-shaped figure shown at the right....Ch. 7.1 - Prob. 1ESCh. 7.1 - Prob. 2ESCh. 7.1 - Convert between the two measurements. 5yd = in.Ch. 7.1 - Prob. 4ESCh. 7.1 - Prob. 5ESCh. 7.1 - Prob. 6ES
Ch. 7.1 - Convert between the two measurements. 712 lb = ozCh. 7.1 - Prob. 8ESCh. 7.1 - Prob. 9ESCh. 7.1 - Prob. 10ESCh. 7.1 - Prob. 11ESCh. 7.1 - Prob. 12ESCh. 7.1 - Prob. 13ESCh. 7.1 - Prob. 14ESCh. 7.1 - Prob. 15ESCh. 7.1 - Prob. 16ESCh. 7.1 - Prob. 17ESCh. 7.1 - Prob. 18ESCh. 7.1 - Prob. 19ESCh. 7.1 - Prob. 20ESCh. 7.1 - Prob. 21ESCh. 7.1 - Prob. 22ESCh. 7.1 - Prob. 23ESCh. 7.1 - Prob. 24ESCh. 7.1 - Prob. 25ESCh. 7.1 - Prob. 26ESCh. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Prob. 29ESCh. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Prob. 32ESCh. 7.1 - Prob. 33ESCh. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Prob. 35ESCh. 7.1 - Prob. 36ESCh. 7.1 - Prob. 37ESCh. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - Prob. 39ESCh. 7.1 - Prob. 40ESCh. 7.1 - Prob. 41ESCh. 7.1 - A light year is approximately...Ch. 7.1 - In the 1980s, it became possible to measure...Ch. 7.1 - Prob. 44ESCh. 7.2 - Prob. 1EECh. 7.2 - Prepare a circle graph for the data provided in...Ch. 7.2 - Prob. 1ESCh. 7.2 - State the number of degrees in a full circle, a...Ch. 7.2 - Prob. 3ESCh. 7.2 - Prob. 4ESCh. 7.2 - Prob. 5ESCh. 7.2 - Prob. 6ESCh. 7.2 - Prob. 7ESCh. 7.2 - Prob. 8ESCh. 7.2 - Prob. 9ESCh. 7.2 - Prob. 10ESCh. 7.2 - Given AB = 12 cm, CD = 9 cm, and AD = 35 cm, find...Ch. 7.2 - Prob. 12ESCh. 7.2 - Prob. 13ESCh. 7.2 - Prob. 14ESCh. 7.2 - Given in mLOM=53 and in mLON=139, find the measure...Ch. 7.2 - Given in mMON=38 and mLON=85, find the measure of...Ch. 7.2 - Prob. 17ESCh. 7.2 - Prob. 18ESCh. 7.2 - Given that LON is a right angle, find the measure...Ch. 7.2 - Given that LON is a right angle, find the measure...Ch. 7.2 - Prob. 21ESCh. 7.2 - Prob. 22ESCh. 7.2 - Prob. 23ESCh. 7.2 - Prob. 24ESCh. 7.2 - Prob. 25ESCh. 7.2 - Prob. 26ESCh. 7.2 - Prob. 27ESCh. 7.2 - Prob. 28ESCh. 7.2 - Prob. 29ESCh. 7.2 - Prob. 30ESCh. 7.2 - Prob. 31ESCh. 7.2 - Prob. 32ESCh. 7.2 - Prob. 33ESCh. 7.2 - Prob. 34ESCh. 7.2 - Given that l1l2, find the measures of angles a and...Ch. 7.2 - Prob. 36ESCh. 7.2 - Given that l1l2, find the measures of angles a and...Ch. 7.2 - Given that l1l2, find the measures of angles a and...Ch. 7.2 - Given that l1l2, find x.Ch. 7.2 - Prob. 40ESCh. 7.2 - Prob. 41ESCh. 7.2 - Prob. 42ESCh. 7.2 - Given that ma=95 and mb=70, find the measures of...Ch. 7.2 - Given that in ma=35 and mb=55, find the measures...Ch. 7.2 - Prob. 45ESCh. 7.2 - Given that my=130, find the measures of angles a...Ch. 7.2 - Prob. 47ESCh. 7.2 - Prob. 48ESCh. 7.2 - Prob. 49ESCh. 7.2 - Prob. 50ESCh. 7.2 - Prob. 51ESCh. 7.2 - Prob. 52ESCh. 7.2 - Prob. 53ESCh. 7.2 - Cut out a triangle and then tear off two of the...Ch. 7.2 - Prob. 55ESCh. 7.2 - Prob. 56ESCh. 7.2 - If AB and CD intersect at point O, and mAOC=mBOC,...Ch. 7.3 - Complete the table below by calculating the...Ch. 7.3 - Prob. 2EECh. 7.3 - Prob. 3EECh. 7.3 - Prob. 4EECh. 7.3 - Prob. 5EECh. 7.3 - Prob. 6EECh. 7.3 - What is wrong with each statement? a. The...Ch. 7.3 - Prob. 2ESCh. 7.3 - Prob. 3ESCh. 7.3 - Prob. 4ESCh. 7.3 - Prob. 5ESCh. 7.3 - Find (a ) the perimeter and (b ) the area of the...Ch. 7.3 - Prob. 7ESCh. 7.3 - Prob. 8ESCh. 7.3 - Prob. 9ESCh. 7.3 - Prob. 10ESCh. 7.3 - Prob. 11ESCh. 7.3 - Find (a ) the circumference and (b ) the area of...Ch. 7.3 - Prob. 13ESCh. 7.3 - Prob. 14ESCh. 7.3 - Prob. 15ESCh. 7.3 - Prob. 16ESCh. 7.3 - Cross-Country A cross-country course is in the...Ch. 7.3 - Prob. 18ESCh. 7.3 - Sewing Bias binding is to be sewn around the edge...Ch. 7.3 - Prob. 20ESCh. 7.3 - Prob. 21ESCh. 7.3 - Prob. 22ESCh. 7.3 - Prob. 23ESCh. 7.3 - Athletic Fields Artificial turf is being used to...Ch. 7.3 - Prob. 25ESCh. 7.3 - Prob. 26ESCh. 7.3 - Area The width of a rectangle is 8 ft. If the area...Ch. 7.3 - Area The area of a parallelogram is 56 m2. If the...Ch. 7.3 - Prob. 29ESCh. 7.3 - Sailing A sail is in the shape of a triangle with...Ch. 7.3 - Gardens A vegetable garden is in the shape of a...Ch. 7.3 - Athletic Fields How much artificial turf should be...Ch. 7.3 - Prob. 33ESCh. 7.3 - Parks and Recreation A city plans to plant grass...Ch. 7.3 - Prob. 35ESCh. 7.3 - Prob. 36ESCh. 7.3 - Prob. 37ESCh. 7.3 - Prob. 38ESCh. 7.3 - Carpeting You want to install wall-to-wall...Ch. 7.3 - Interior Decorating You want to paint the...Ch. 7.3 - Prob. 41ESCh. 7.3 - Prob. 42ESCh. 7.3 - Carpentry Find the length of molding needed to put...Ch. 7.3 - Sewing How much binding is needed to bind the edge...Ch. 7.3 - Pulleys A pulley system is diagrammed below. If...Ch. 7.3 - Bicycles A bicycle tire has a diameter of 18 in....Ch. 7.3 - Prob. 47ESCh. 7.3 - Prob. 48ESCh. 7.3 - Irrigation An irrigation system waters a circular...Ch. 7.3 - Prob. 50ESCh. 7.3 - Prob. 51ESCh. 7.3 - Prob. 52ESCh. 7.3 - Lake Tahoe One way to measure the area of an...Ch. 7.3 - Prob. 54ESCh. 7.3 - Prob. 55ESCh. 7.3 - Prob. 56ESCh. 7.3 - Prob. 57ESCh. 7.3 - A circle with radius r and circumference C is...Ch. 7.3 - Herons (or Heros) formula is sometimes used to...Ch. 7.4 - Name the genus of each figure. a. Funnel b. Ships...Ch. 7.4 - Which one of the following figures is not...Ch. 7.4 - Which one of the following figures is not...Ch. 7.4 - In parts a and b, the letters of the alphabet are...Ch. 7.4 - Prob. 5EECh. 7.4 - Prob. 6EECh. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Prob. 2ESCh. 7.4 - Prob. 3ESCh. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Prob. 5ESCh. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Prob. 12ESCh. 7.4 - Prob. 13ESCh. 7.4 - Prob. 14ESCh. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - Prob. 16ESCh. 7.4 - Prob. 17ESCh. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - Prob. 20ESCh. 7.4 - In the figure below, ACDE, BD measures 8 m, AD...Ch. 7.4 - Prob. 22ESCh. 7.4 - In the figure below, AEBD, AB = 3 ft, ED = 4 ft,...Ch. 7.4 - Prob. 24ESCh. 7.4 - In the figure below, MP and NQ intersect at O, NO...Ch. 7.4 - Prob. 26ESCh. 7.4 - Surveying Surveyors use similar triangles to...Ch. 7.4 - Surveying Surveyors use similar triangles to...Ch. 7.4 - Prob. 29ESCh. 7.4 - Prob. 30ESCh. 7.4 - Determine whether the two triangles are congruent....Ch. 7.4 - Prob. 32ESCh. 7.4 - Prob. 33ESCh. 7.4 - Prob. 34ESCh. 7.4 - Determine whether the two triangles are congruent....Ch. 7.4 - Prob. 36ESCh. 7.4 - Given triangle ABC and triangle DEF, do the...Ch. 7.4 - Given triangle PQR and triangle MNO, do the...Ch. 7.4 - Given triangle LMN and triangle QRS, do the...Ch. 7.4 - Given triangle DEF and triangle JKL, do the...Ch. 7.4 - Prob. 41ESCh. 7.4 - Prob. 42ESCh. 7.4 - Prob. 43ESCh. 7.4 - Prob. 44ESCh. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Prob. 46ESCh. 7.4 - Prob. 47ESCh. 7.4 - Prob. 48ESCh. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Prob. 50ESCh. 7.4 - Prob. 51ESCh. 7.4 - Prob. 52ESCh. 7.4 - Prob. 53ESCh. 7.4 - Prob. 54ESCh. 7.4 - Prob. 55ESCh. 7.4 - Use the given information to solve each exercise....Ch. 7.4 - Prob. 57ESCh. 7.4 - Prob. 58ESCh. 7.5 - A cylinder with a 2-cm radius and a height of 10...Ch. 7.5 - A sphere with a radius of 6 in. is placed in a...Ch. 7.5 - A chemist wants to know the density of a statue...Ch. 7.5 - Prob. 1ESCh. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Prob. 4ESCh. 7.5 - Prob. 5ESCh. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Prob. 7ESCh. 7.5 - Prob. 8ESCh. 7.5 - Prob. 9ESCh. 7.5 - Prob. 10ESCh. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Solve. Volume A rectangular solid has a length of...Ch. 7.5 - Prob. 14ESCh. 7.5 - Prob. 15ESCh. 7.5 - Prob. 16ESCh. 7.5 - Prob. 17ESCh. 7.5 - Prob. 18ESCh. 7.5 - Solve. Volume The diameter of the base of a...Ch. 7.5 - Prob. 20ESCh. 7.5 - Prob. 21ESCh. 7.5 - Prob. 22ESCh. 7.5 - Prob. 23ESCh. 7.5 - Prob. 24ESCh. 7.5 - Solve. The length of a side of a cube is equal to...Ch. 7.5 - Solve. A sphere and a cylinder have the same...Ch. 7.5 - Prob. 27ESCh. 7.5 - Prob. 28ESCh. 7.5 - Prob. 29ESCh. 7.5 - Prob. 30ESCh. 7.5 - Prob. 31ESCh. 7.5 - Prob. 32ESCh. 7.5 - Solve. Surface Area Find the exact surface area of...Ch. 7.5 - Prob. 34ESCh. 7.5 - Solve. Surface Area The radius of the base of a...Ch. 7.5 - Prob. 36ESCh. 7.5 - Solve. Surface Area The slant height of a cone is...Ch. 7.5 - Prob. 38ESCh. 7.5 - Prob. 39ESCh. 7.5 - Prob. 40ESCh. 7.5 - Solve. Appliances The volume of a freezer that is...Ch. 7.5 - Prob. 42ESCh. 7.5 - Solve. Paint A can of paint will cover 300 ft2 of...Ch. 7.5 - Solve. Ballooning A hot air balloon is in the...Ch. 7.5 - Prob. 45ESCh. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Prob. 49ESCh. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Prob. 54ESCh. 7.5 - Prob. 55ESCh. 7.5 - Oil Tanks A truck is carrying an oil tank. The...Ch. 7.5 - Swimming Pools How many liters of water are needed...Ch. 7.5 - Prob. 58ESCh. 7.5 - Prob. 59ESCh. 7.5 - Prob. 60ESCh. 7.5 - Prob. 61ESCh. 7.5 - A sphere fits inside a cylinder as shown in the...Ch. 7.5 - Prob. 63ESCh. 7.5 - Prob. 64ESCh. 7.5 - Explain how you could cut through a cube so that...Ch. 7.6 - Draw a horizontal line segment 10cm long with left...Ch. 7.6 - Using a protractor, construct at A a 35° angle.Ch. 7.6 - Draw at C a vertical line that intersects the...Ch. 7.6 - Prob. 4EECh. 7.6 - Prob. 5EECh. 7.6 - Prob. 6EECh. 7.6 - Prob. 7EECh. 7.6 - Prob. 8EECh. 7.6 - Prob. 1ESCh. 7.6 - Prob. 2ESCh. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Find the values of sin , cos , and tan for the...Ch. 7.6 - Prob. 11ESCh. 7.6 - Prob. 12ESCh. 7.6 - Prob. 13ESCh. 7.6 - Prob. 14ESCh. 7.6 - Prob. 15ESCh. 7.6 - Prob. 16ESCh. 7.6 - Prob. 17ESCh. 7.6 - Prob. 18ESCh. 7.6 - Prob. 19ESCh. 7.6 - Prob. 20ESCh. 7.6 - Prob. 21ESCh. 7.6 - Prob. 22ESCh. 7.6 - Prob. 23ESCh. 7.6 - Prob. 24ESCh. 7.6 - Prob. 25ESCh. 7.6 - Prob. 26ESCh. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Prob. 31ESCh. 7.6 - Prob. 32ESCh. 7.6 - Prob. 33ESCh. 7.6 - Prob. 34ESCh. 7.6 - Prob. 35ESCh. 7.6 - Prob. 36ESCh. 7.6 - Prob. 37ESCh. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Prob. 39ESCh. 7.6 - Prob. 40ESCh. 7.6 - Prob. 41ESCh. 7.6 - Prob. 42ESCh. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Prob. 50ESCh. 7.6 - Prob. 51ESCh. 7.6 - Prob. 52ESCh. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Draw a picture and label it. Then set up an...Ch. 7.6 - Prob. 56ESCh. 7.6 - Prob. 57ESCh. 7.6 - Prob. 58ESCh. 7.6 - Prob. 59ESCh. 7.6 - Prob. 60ESCh. 7.6 - Recall that the circumference of a circle is given...Ch. 7.6 - Prob. 62ESCh. 7.6 - Prob. 63ESCh. 7.6 - Prob. 64ESCh. 7.6 - Prob. 65ESCh. 7.6 - Prob. 66ESCh. 7.6 - Prob. 67ESCh. 7.6 - Prob. 68ESCh. 7.6 - Prob. 69ESCh. 7.6 - Prob. 70ESCh. 7.6 - Prob. 71ESCh. 7.6 - Prob. 72ESCh. 7.6 - Prob. 73ESCh. 7.6 - Prob. 74ESCh. 7.7 - Prob. 1EECh. 7.7 - Prob. 2EECh. 7.7 - Prob. 3EECh. 7.7 - Prob. 4EECh. 7.7 - Prob. 5EECh. 7.7 - Prob. 6EECh. 7.7 - Prob. 7EECh. 7.7 - Prob. 1ESCh. 7.7 - Prob. 2ESCh. 7.7 - Prob. 3ESCh. 7.7 - What is the maximum number of right angles a...Ch. 7.7 - Prob. 5ESCh. 7.7 - Prob. 6ESCh. 7.7 - Prob. 7ESCh. 7.7 - In which geometry can two distinct lines be...Ch. 7.7 - Prob. 9ESCh. 7.7 - Prob. 10ESCh. 7.7 - Find the exact area of a spherical triangle with...Ch. 7.7 - Find the area of a spherical triangle with three...Ch. 7.7 - Prob. 13ESCh. 7.7 - Prob. 14ESCh. 7.7 - Prob. 15ESCh. 7.7 - Prob. 16ESCh. 7.7 - Prob. 17ESCh. 7.7 - Prob. 18ESCh. 7.7 - Prob. 19ESCh. 7.7 - Prob. 20ESCh. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - Prob. 22ESCh. 7.7 - Prob. 23ESCh. 7.7 - Prob. 24ESCh. 7.7 - Prob. 25ESCh. 7.7 - Prob. 26ESCh. 7.7 - Prob. 27ESCh. 7.7 - Prob. 28ESCh. 7.7 - Prob. 29ESCh. 7.7 - Prob. 30ESCh. 7.7 - Prob. 31ESCh. 7.7 - Prob. 32ESCh. 7.7 - Prob. 33ESCh. 7.7 - Prob. 34ESCh. 7.7 - Prob. 35ESCh. 7.7 - Prob. 36ESCh. 7.7 - Prob. 37ESCh. 7.7 - Prob. 38ESCh. 7.8 - Prob. 1EECh. 7.8 - Prob. 2EECh. 7.8 - Use the left-right rule to determine the direction...Ch. 7.8 - Use the left-right rule to determine the direction...Ch. 7.8 - Prob. 5EECh. 7.8 - Use an iterative process to draw stage 2 and stage...Ch. 7.8 - Use an iterative process to draw stage 2 and stage...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Prob. 5ESCh. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Prob. 7ESCh. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Prob. 9ESCh. 7.8 - Draw stage 3 and stage 4 of the fractal defined by...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Prob. 12ESCh. 7.8 - Prob. 13ESCh. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Prob. 17ESCh. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compare Similarity Dimensions Rank, from largest...Ch. 7.8 - Prob. 22ESCh. 7.8 - Prob. 23ESCh. 7.8 - Prob. 24ESCh. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - The price of a beverage is $3.56 per liter. What...Ch. 7 - Given that in ma=74 and in mb=52, find the...Ch. 7 - Triangles ABC and DEF are similar. Find the...Ch. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Given that BC=11 cm and that AB is three times the...Ch. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Patios What is the area of a square patio that...Ch. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Surveying Find the distance across the marsh in...Ch. 7 - Angle of Depression The distance from a plane to a...Ch. 7 - Angle of Elevation The angle of elevation from a...Ch. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Find the volume of a cylinder with a height of 6 m...Ch. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - In the figure below, lines l1 and l2 are parallel....Ch. 7 - In the figure below, lines l1 and l2 are parallel....Ch. 7 - Convert: 1.2 m = ________ cm.Ch. 7 - Find the volume of the figure. Give the exact...Ch. 7 - Triangles ABC and DEF arc similar. Find side BC.Ch. 7 - A right triangle has a 40° angle. Find the...Ch. 7 - Find the measure of x.Ch. 7 - Find the area of the parallelogram shown below.Ch. 7 - Surveying Find the width of the canal shown in the...Ch. 7 - Pizza How much more area is in a pizza with radius...Ch. 7 - Determine whether the two triangles are congruent....Ch. 7 - For the right triangle shown below, determine the...Ch. 7 - Find the values of sin , cos , and tan for the...Ch. 7 - Angle of Elevation From a point 27 ft from the...Ch. 7 - Trees Find the cross-sectional area of a redwood...Ch. 7 - Toolbox A toolbox is 14 in. long, 9 in. wide, and...Ch. 7 - Find the speed, in meters per second, of a car...Ch. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Find the area of a spherical triangle with a...Ch. 7 - City Geometry Find the Euclidean distance and the...Ch. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 28TCh. 7 - Prob. 29TCh. 7 - Compute the replacement ratio, scale ratio, and...
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- There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. D. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? I leave the answers to A and B to resolve the remaining two. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8 A. Measures of Central Tendency We are to calculate: Mean, Median, Mode The data (already ordered) is: 0.8, 1.4, 1.8, 1.9, 3.2, 3.6, 4.5, 4.5, 4.6, 6.2, 6.5, 7.7, 7.9, 9.9, 10.2, 10.3, 10.9, 11.1, 11.1, 11.6, 11.8, 12.0, 13.1, 13.5, 13.7, 14.1, 14.2, 14.7, 15.0, 15.1, 15.5,…arrow_forwardA tournament is a complete directed graph, for each pair of vertices x, y either (x, y) is an arc or (y, x) is an arc. One can think of this as a round robin tournament, where the vertices represent teams, each pair plays exactly once, with the direction of the arc indicating which team wins. (a) Prove that every tournament has a direct Hamiltonian path. That is a labeling of the teams V1, V2,..., Un so that vi beats Vi+1. That is a labeling so that team 1 beats team 2, team 2 beats team 3, etc. (b) A digraph is strongly connected if there is a directed path from any vertex to any other vertex. Equivalently, there is no partition of the teams into groups A, B so that every team in A beats every team in B. Prove that every strongly connected tournament has a directed Hamiltonian cycle. Use this to show that for any team there is an ordering as in part (a) for which the given team is first. (c) A king in a tournament is a vertex such that there is a direct path of length at most 2 to any…arrow_forward
- Use a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 100e0.01x (x, y) = y = 11,250 ×arrow_forwardhow to construct the following same table?arrow_forwardThe following is known. The complete graph K2t on an even number of vertices has a 1- factorization (equivalently, its edges can be colored with 2t - 1 colors so that the edges incident to each vertex are distinct). This implies that the complete graph K2t+1 on an odd number of vertices has a factorization into copies of tK2 + K₁ (a matching plus an isolated vertex). A group of 10 people wants to set up a 45 week tennis schedule playing doubles, each week, the players will form 5 pairs. One of the pairs will not play, the other 4 pairs will each play one doubles match, two of the pairs playing each other and the other two pairs playing each other. Set up a schedule with the following constraints: Each pair of players is a doubles team exactly 4 times; during those 4 matches they see each other player exactly once; no two doubles teams play each other more than once. (a) Find a schedule. Hint - think about breaking the 45 weeks into 9 blocks of 5 weeks. Use factorizations of complete…arrow_forward
- . The two person game of slither is played on a graph. Players 1 and 2 take turns, building a path in the graph. To start, Player 1 picks a vertex. Player 2 then picks an edge incident to the vertex. Then, starting with Player 1, players alternate turns, picking a vertex not already selected that is adjacent to one of the ends of the path created so far. The first player who cannot select a vertex loses. (This happens when all neighbors of the end vertices of the path are on the path.) Prove that Player 2 has a winning strategy if the graph has a perfect matching and Player 1 has a winning strategy if the graph does not have a perfect matching. In each case describe a strategy for the winning player that guarantees that they will always be able to select a vertex. The strategy will be based on using a maximum matching to decide the next choice, and will, for one of the cases involve using the fact that maximality means no augmenting paths. Warning, the game slither is often described…arrow_forwardLet D be a directed graph, with loops allowed, for which the indegree at each vertex is at most k and the outdegree at each vertex is at most k. Prove that the arcs of D can be colored so that the arcs entering each vertex must have distinct colors and the arcs leaving each vertex have distinct colors. An arc entering a vertex may have the same color as an arc leaving it. It is probably easiest to make use of a known result about edge coloring. Think about splitting each vertex into an ‘in’ and ‘out’ part and consider what type of graph you get.arrow_forward3:56 wust.instructure.com Page 0 Chapter 5 Test Form A of 2 - ZOOM + | Find any real numbers for which each expression is undefined. 2x 4 1. x Name: Date: 1. 3.x-5 2. 2. x²+x-12 4x-24 3. Evaluate when x=-3. 3. x Simplify each rational expression. x²-3x 4. 2x-6 5. x²+3x-18 x²-9 6. Write an equivalent rational expression with the given denominator. 2x-3 x²+2x+1(x+1)(x+2) Perform the indicated operation and simplify if possible. x²-16 x-3 7. 3x-9 x²+2x-8 x²+9x+20 5x+25 8. 4.x 2x² 9. x-5 x-5 3 5 10. 4x-3 8x-6 2 3 11. x-4 x+4 x 12. x-2x-8 x²-4 ← -> Copyright ©2020 Pearson Education, Inc. + 5 4. 5. 6. 7. 8. 9. 10. 11. 12. T-97arrow_forward
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