Mathematics for Elementary Teachers with Activities Plus MyLab Math -- Title-Specific Access Card Package (5th Edition)

5th Edition

ISBN: 9780134754208

Author: Beckmann, Sybilla

Publisher: PEARSON

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Chapter 14.7, Problem 7P

Suppose that a gasoline-powered engine has a gas tank in the shape of an inverted cone, with radius 10 inches and height 20 inches, as shown in Flgure 14.93 . The gas flows out through the tip of the cone, which points down. The shaded region represents gas in the tank. The height of this 'cone of gas” is 10 inches, which is half the height of the gas tank

Chapter 14.7, Problem 7P, Suppose that a gasoline-powered engine has a gas tank in the shape of an inverted cone, with radius
Figure 14.93 A cone-shaped gas tank.

In terms of volume, is the tank half full, less than half full, or more than half full? Draw a picture of the gas tank, and mark approximately where you think the gas would be when the tank is 3 4 full, 1 2 full, and 1 4 full in terms of volume.
Find the volume of the gas in the tank. Is this half, less than half, or more than half the volume of the tank?
Now find the volume of gas if the height of the gas was 3 4 of the height of-the tank. Is this more or less than half the volume of the tank? Is this surprising?

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Chapter 14.7, Problem 6P

Chapter 14.7, Problem 8P

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Chapter 14 Solutions

Mathematics for Elementary Teachers with Activities Plus MyLab Math -- Title-Specific Access Card Package (5th Edition)

Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - Prob. 14P Ch. 14.1 - On a piece of paper, draw a point Q and a separate...Ch. 14.1 - On a piece of paper, draw a point P and a separate...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - Describe what a 90° counterclockwise rotation...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - investigate the following questions, either with...Ch. 14.1 - Investigate the following questions, either with...Ch. 14.1 - Investigate the questions that follow, either with...Ch. 14.2 - Find examples of symmetrical designs from a...Ch. 14.2 - Determine all the symmetries of Design 1 and...Ch. 14.2 - Prob. 3P Ch. 14.2 - Prob. 4P Ch. 14.2 - Prob. 5P Ch. 14.2 - Determthe at! the symmetries of Destgn 9 and...Ch. 14.2 - Prob. 7P Ch. 14.2 - a. Determine all the symmetries of a square....Ch. 14.2 - Compare translation and translation symmetry ....Ch. 14.2 - Prob. 10P Ch. 14.2 - Comapare (mathematical) reflection an reflection...Ch. 14.2 - Prob. 12P Ch. 14.2 - Prob. 13P Ch. 14.2 - Prob. 14P Ch. 14.2 - Prob. 15P Ch. 14.2 - Prob. 16P Ch. 14.3 - Suppose that Ada, Bada, and Cada are three cities...Ch. 14.3 - Write a paragraph in which you discuss. In your...Ch. 14.3 - Is there a side side side side congruence...Ch. 14.3 - Is there an angle-angle-angle congruence criterion...Ch. 14.3 - Give your own example to explain why there is not...Ch. 14.3 - Prob. 7P Ch. 14.3 - See Flour. 14.46 . We are given that sides DG and...Ch. 14.3 - See Figure 14.47 . Given that QR and TR are the...Ch. 14.3 - See the quadrilateral in Figure 14.48 . Given that...Ch. 14.3 - This problem continues the Investigation of CIass...Ch. 14.3 - Prob. 12P Ch. 14.3 - Ann and Kelly are standing on a liver bank,...Ch. 14.3 - Prob. 14P Ch. 14.3 - Here is an old-fashioned way to make a rectangular...Ch. 14.4 - a. Draw a ray with endpoint A. Use a straighedge...Ch. 14.4 - a. On a blank piece of paper, draw a ray with...Ch. 14.4 - a. Draw a rhombus that is naturally associated...Ch. 14.4 - On a piece of paper, draw a point P and a separate...Ch. 14.4 - On a piece of paper, draw a point Q and a separate...Ch. 14.4 - On a piece of paper, draw a line n and a point R...Ch. 14.4 - Use a straightedge and compass (but not a...Ch. 14.4 - Prob. 8P Ch. 14.4 - Prob. 9P Ch. 14.4 - Describe how to use a compass to construct the...Ch. 14.4 - a. Use a compass to draw a pattern of circles like...Ch. 14.4 - Prob. 12P Ch. 14.4 - Prob. 13P Ch. 14.4 - Prob. 14P Ch. 14.5 - Using your own examples, discuss the mathematical...Ch. 14.5 - Frank’s dog, Fido, Is 16 Inches tall and 30 inches...Ch. 14.5 - Tyler’s Flag Problem: Tyler has designed his own...Ch. 14.5 - Jasmine’s Flag Problem: Jasmine has designed her...Ch. 14.5 - Kelsey wants to make a scale drawing of herself...Ch. 14.5 - A painting that is 4 feet 3 inches by 6 feet 4...Ch. 14.5 - Write two problems about similar shapes or...Ch. 14.5 - Prob. 8P Ch. 14.5 - An art museum owns a painting that it would like...Ch. 14.5 - Cameras that use film produce a negative, which Is...Ch. 14.5 - If the map in Flgure 14.65 has a scale such that 1...Ch. 14.5 - Sue has a rectangular garden. If she makes her...Ch. 14.6 - a. If two shapes are congruent, are they also...Ch. 14.6 - Is there an angIe-angle-angle-angle similarity...Ch. 14.6 - Prob. 3P Ch. 14.6 - After applying a dilation centered at O, the...Ch. 14.6 - Ms. Winstead’s class went outside on a sunny day...Ch. 14.6 - A Thumb Sighting Problem: Suppose you are looking...Ch. 14.6 - Explain and draw a picture to show how you could...Ch. 14.6 - Suppose you have a TV whose screen is 36 inches...Ch. 14.6 - Prob. 9P Ch. 14.6 - A city has a large cone-shaped Christmas tree that...Ch. 14.6 - Prob. 11P Ch. 14.6 - Prob. 12P Ch. 14.6 - Prob. 13P Ch. 14.6 - Prob. 14P Ch. 14.6 - Prob. 15P Ch. 14.7 - In triangle ADE shown In Flguro 14.92 , the point...Ch. 14.7 - A scale model is constructed for a domed baseball...Ch. 14.7 - Og, a giant mentioned in the Bible, might have...Ch. 14.7 - An artist plans to make a Iarge sculpture of a...Ch. 14.7 - According to one description, King Kong was 19...Ch. 14.7 - If you know the volume of an object in cubic...Ch. 14.7 - Suppose that a gasoline-powered engine has a gas...Ch. 14.7 - A cup has a circular opening and a circular base....

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