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9.1.4 Review & Preview

Last updated 1 day ago

14 questions

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Question 1

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Koy is inflating a spherical balloon for her brother’s birthday party. She has used three full breaths so far and her balloon is only half the width she needs. Assuming that she puts the same amount of air into the balloon with each breath, how many more breaths does she need to finish the task? Explain how you know in the work space. Homework Help ✎

Draw a cylinder on your paper. Assume the radius of the cylinder is 6 inches and the height is 9 inches.  Homework Help ✎

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Question 2

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What is the surface area of the cylinder?

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Question 3

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What is the volume?

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Question 4

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If the cylinder is enlarged with a linear scale factor of 3, what is the volume of the enlarged cylinder?

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Question 6

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While Katarina was practicing her figure skating, she wondered how far she had traveled. She was skating a “figure 8,” which means she starts between two circles and then travels on the boundary of each circle, completing the shape of a sideways 8. If both circles have a radius of 5 feet, how far does she travel when skating one “figure 8”? Homework Help ✎

For each triangle below, solve for x, if possible. If no solution is possible, explain why.  Homework Help ✎

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Question 7

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Question 8

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Question 9

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The mat plan for a three-dimensional solid is shown below. 9-49 HW eTool (CPM)  Homework Help ✎

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Question 10

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On your paper, draw the front, right, and top views of this solid. Find the volume of the solid.

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Question 11

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Find the surface area of the solid.

Question 12

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The graph of the inequality y>2x−3 is shown below. On graph paper, graph the inequality y≤2x−3. Explain what you changed about the graph. Homework Help ✎

Question 13

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An international charity builds homes for disaster victims. Often the materials are donated. The charity recently built 45 homes. 20% used granite for the kitchen countertops, while the rest used porcelain tile. 15 of the homes used red oak for the wooden kitchen floor, 20 used white oak, and 10 used maple. If a disaster victim is randomly assigned to a home, what is the probability (in percent) of getting an oak floor with granite countertops? Homework Help ✎

Question 14

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Multiple Choice: The point A(−2,5) is rotated 90°counter-clockwise (↺) about the origin. What are the new coordinates of point A? 9-52 HW eTool (Desmos) Homework Help ✎

(2, 5)

(5, -2)

(2, -5)

(-5, -2)

Question 5

5.

Explain a shortcut to check your work.