Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 12.5, Problem 1P
Figure 12.68 shows a triangle on a pegboard. (Think of the triangle as made out of a rubber band, which is stretched around three pegs.) Describe or draw at least two ways to move point C of the triangle to another peg (keeping points A and B fixed) in such a way that the area of the new triangle is the same as the area of the original triangle. Explain your reasoning.
Figure 12.68 A triangle on a pegboard
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
I need help explaining on this example on how can I define the Time-Domain Function, Apply the Laplace Transformation Formula, and Simplify to Find the Frequency-Domain Expression. I need to understand on finding Y(s)
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
1. A Blue Whale's resting heart rate has period that happens to be approximately equal to 2π. A typical ECG of a whale's heartbeat
over one period may be approximated by the function,
f(x)
=
0.005x4
2
0.005x³-0.364x² + 1.27x
on the interval [0, 27]. Find an nth-order Fourier approximation to the Blue Whale's heartbeat, where n ≥ 3 is different from
that used in any other posts on this topic, to generate a periodic function that can be used to model its heartbeat, and graph your
result. Be sure to include your chosen value of n in your Subject Heading.
Chapter 12 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 12.1 - You have a 5-foot-by-7-foot rectangular rug in...Ch. 12.1 - Draw a 3-cm-by-7-cm rectangle. Then discuss the...Ch. 12.1 - a. Explain how to decompose the large rectangle in...Ch. 12.1 - a. Explain how to decompose the large rectangle in...Ch. 12.1 - Draw a (fairly long) line segment and designate it...Ch. 12.2 - Make a shape that has area 25in2 but that has no...Ch. 12.2 - Flgure 12.14 shows the floor plan for a one-story...Ch. 12.2 - An area problem: The Johnsons are planning to...Ch. 12.2 - Figure 12.15 shows a design for an herb garden,...Ch. 12.2 - Figure 12.16 [g shows the floor plan for a modern,...
Ch. 12.2 - Use the moving and additivity principles to...Ch. 12.2 - Use the moving and additivity principles to...Ch. 12.3 - Use the moving and additivity principles to...Ch. 12.3 - For each triangle in Figure 12.31 , show the...Ch. 12.3 - Use a ruler and compass to draw three identical...Ch. 12.3 - Explain clearly in your own words why the...Ch. 12.3 - Explain clearly in your own words why the...Ch. 12.3 - Becky was asked to divide a rectangle into 4 equal...Ch. 12.3 - Explain how to use the additivity principle to...Ch. 12.3 - Determine the area of the shaded triangle that is...Ch. 12.3 - Determine the area of the shaded shape in Figure...Ch. 12.3 - Determine the area of the shaded triangle in...Ch. 12.3 - Determine the area of the shaded shape in Figure...Ch. 12.3 - Determine the area of the shaded shape in Figure...Ch. 12.3 - Given that the rectangle ABCD in Figure 12.41 has...Ch. 12.4 - Josie has two wooden beams that are 15 feet long...Ch. 12.4 - Figure 12.47 shows a shaded parallelogram inside a...Ch. 12.4 - In the text, we saw a way to explain why the area...Ch. 12.4 - Figure 12.49 shows a trapezoid. This problem will...Ch. 12.4 - Use the moving and additivity principles to...Ch. 12.4 - Find a formula for the area of a rhombus (see...Ch. 12.4 - Determine the areas (in square units) of the 4...Ch. 12.4 - Determine the area (in square units) of the...Ch. 12.4 - Determine the area of the shaded shapes in Figure...Ch. 12.4 - A rug company weaves rugs that are made by...Ch. 12.4 - Determine the area of the shaded region in Figure...Ch. 12.4 - Given that the shaded shape in Figure 12.58 is a...Ch. 12.4 - Figure 12.59 shows a map of some land. Determine...Ch. 12.5 - Figure 12.68 shows a triangle on a pegboard....Ch. 12.5 - Make a drawing to show the result of shearing the...Ch. 12.5 - Prob. 3PCh. 12.5 - Make a drawing to show the result of shearing the...Ch. 12.5 - a. Make a drawing to show the result of shearing...Ch. 12.5 - The boundary between the Johnson and the Zhang...Ch. 12.5 - Suppose that in a trapezoid ABCD, as in Figure...Ch. 12.5 - Prob. 8PCh. 12.6 - In your own words. discuss how the diameter and...Ch. 12.6 - Tim works on the following exercise: For each...Ch. 12.6 - A large running track is constructed to have...Ch. 12.6 - Suppose you have a large spool used for winding...Ch. 12.6 - Suppose that when pizza dough is rolled out it...Ch. 12.6 - Lauriann and Kinsey are in charge of the annual...Ch. 12.6 - Penguins huddle together to stay warm in very cold...Ch. 12.6 - Jack has a truck that requires tires that are 26...Ch. 12.6 - Let r units denote the radius of each circle in...Ch. 12.7 - Suppose that you have a map on which 1 inch...Ch. 12.7 - Suppose that you have a map on which 1 inch...Ch. 12.7 - Suppose that you have a map on which 1 inch...Ch. 12.8 - Suppose that a student in your class wants to know...Ch. 12.8 - Sarah is confused about the difference between the...Ch. 12.8 - Describe a concrete way to demonstrate that many...Ch. 12.8 - Anya wants to draw many different rectangles that...Ch. 12.8 - On graph paper, draw 4 different rectangles that...Ch. 12.8 - Which of the lengths that follow could be the...Ch. 12.8 - a. Without using a calculator, fund the lengths...Ch. 12.8 - Draw 4 different rectangles, all of which have a...Ch. 12.8 - Draw 4 different rectangles, all of which have...Ch. 12.8 - A forest has a perimeter of 210 mi, but no...Ch. 12.8 - Bob wants to find the area of an irregular shape....Ch. 12.8 - Consider all rectangles whose area is 4 in2 ,...Ch. 12.9 - Jessica says she doesn‘t understand the...Ch. 12.9 - Town B is 380 km due south of town A. Town C is...Ch. 12.9 - What length ribbon will you need to stretch from...Ch. 12.9 - Rover the dog is on a 30-foot leash. One end of...Ch. 12.9 - Carmina and Antone measure that the distance...Ch. 12.9 - Use the Pythagorean theorem to help you determine...Ch. 12.9 - Assuming that the earth is a perfectly round,...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Empirical versus Theoretical A Monopoly player claims that the probability of getting a 4 when rolling a six-si...
Introductory Statistics
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
For Problems 23-28, write in simpler form, as in Example 4. logbFG
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
23. A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $120 from the gro...
College Algebra (Collegiate Math)
First Derivative Test a. Locale the critical points of f. b. Use the First Derivative Test to locale the local ...
Calculus: Early Transcendentals (2nd Edition)
Find how many SDs above the mean price would be predicted to cost.
Intro Stats, Books a la Carte Edition (5th Edition)
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
- I need help explaining on this example on how can I define the Time-Domain Function, Apply the Laplace Transformation Formula, andarrow_forwardma Classes Term. Spring 2025 Title Details Credit Hours CRN Schedule Type Grade Mode Level Date Status Message *MATHEMATICS FOR MANAGEME... MTH 245, 400 4 54835 Online Normal Grading Mode Ecampus Undergradu... 03/21/2025 Registered **Web Registered... *SOIL SCIENCE CSS 205, 400 0 52298 Online Normal Grading Mode Undergraduate 03/21/2025 Waitlisted Waitlist03/21/2025 PLANT PATHOLOGY BOT 451, 400 4 56960 Online Normal Grading Mode Undergraduate 03/21/2025 Registered **Web Registered... Records: 3 Schedule Schedule Detailsarrow_forwardHere is an augmented matrix for a system of equations (three equations and three variables). Let the variables used be x, y, and z: 1 2 4 6 0 1 -1 3 0 0 1 4 Note: that this matrix is already in row echelon form. Your goal is to use this row echelon form to revert back to the equations that this represents, and then to ultimately solve the system of equations by finding x, y and z. Input your answer as a coordinate point: (x,y,z) with no spaces.arrow_forward
- 1 3 -4 In the following matrix perform the operation 2R1 + R2 → R2. -2 -1 6 After you have completed this, what numeric value is in the a22 position?arrow_forward5 -2 0 1 6 12 Let A = 6 7 -1 and B = 1/2 3 -14 -2 0 4 4 4 0 Compute -3A+2B and call the resulting matrix R. If rij represent the individual entries in the matrix R, what numeric value is in 131? Input your answer as a numeric value only.arrow_forward1 -2 4 10 My goal is to put the matrix 5 -1 1 0 into row echelon form using Gaussian elimination. 3 -2 6 9 My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position. Which of the following operations would be the appropriate elementary row operation to use to get a 0 in the a21 position? O (1/5)*R2 --> R2 ○ 2R1 + R2 --> R2 ○ 5R1+ R2 --> R2 O-5R1 + R2 --> R2arrow_forward
- The 2x2 linear system of equations -2x+4y = 8 and 4x-3y = 9 was put into the following -2 4 8 augmented matrix: 4 -3 9 This augmented matrix is then converted to row echelon form. Which of the following matrices is the appropriate row echelon form for the given augmented matrix? 0 Option 1: 1 11 -2 Option 2: 4 -3 9 Option 3: 10 ܂ -2 -4 5 25 1 -2 -4 Option 4: 0 1 5 1 -2 Option 5: 0 0 20 -4 5 ○ Option 1 is the appropriate row echelon form. ○ Option 2 is the appropriate row echelon form. ○ Option 3 is the appropriate row echelon form. ○ Option 4 is the appropriate row echelon form. ○ Option 5 is the appropriate row echelon form.arrow_forwardLet matrix A have order (dimension) 2x4 and let matrix B have order (dimension) 4x4. What results when you compute A+B? The resulting matrix will have dimensions of 2x4. ○ The resulting matrix will be a single number (scalar). The resulting matrix will have dimensions of 4x4. A+B is undefined since matrix A and B do not have the same dimensions.arrow_forwardIf -1 "[a446]-[254] 4b = -1 , find the values of a and b. ○ There is no solution for a and b. ○ There are infinite solutions for a and b. O a=3, b=3 O a=1, b=2 O a=2, b=1 O a=2, b=2arrow_forward
- A student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.arrow_forwardSolve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forwardHi, I need to make sure I have drafted a thorough analysis, so please answer the following questions. Based on the data in the attached image, develop a regression model to forecast the average sales of football magazines for each of the seven home games in the upcoming season (Year 10). That is, you should construct a single regression model and use it to estimate the average demand for the seven home games in Year 10. In addition to the variables provided, you may create new variables based on these variables or based on observations of your analysis. Be sure to provide a thorough analysis of your final model (residual diagnostics) and provide assessments of its accuracy. What insights are available based on your regression model?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 MCDOUGAL
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
The Law of Cosines; Author: Professor Dave Explains;https://www.youtube.com/watch?v=3wGQMyaWoLA;License: Standard YouTube License, CC-BY
Law of Sines and Law of Cosines (4 Examples); Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=T--nPHdS1Vo;License: Standard YouTube License, CC-BY