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9.1.3 Review & Preview

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Last updated 1 day ago
12 questions
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In the diagram at right, DE is a midsegment of ΔABC. Homework Help ✎
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Question 1
1.

If the area of ΔABC is 96 square units, what is the area of ΔADE?

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Question 2
2.

Explain how you know.

Question 3
3.

A regular hexagonal prism has a volume of 2546.13 cm^3and the base has an edge length of 14 cm. Find the height and surface area of the prism. Round to the nearest hundredth.  Homework Help ✎

Question 4
4.

Are ΔEHF and ΔFGE congruent? If so, explain how you know. If not, explain why not.  Homework Help ✎

Question 5
5.

A sandwich shop delivers lunches by bicycle to nearby office buildings. Unfortunately, sometimes the delivery is made later than promised. A delay can occur either because food preparation took too long, or because the bicycle rider got lost. Last month the food preparation took too long or the rider got lost, 7% of the time. During the same month, the food preparation took longer than expected 11 times and the bicycle rider got lost 4 times. There were 200 deliveries made during the month. For a randomly selected delivery last month, find the probability that both the food preparation took too long and the rider got lost.  Homework Help ✎

Remember that the absolute value of a number is its positive value. For example, |−5|=5 and |5|=5. Use this understanding to solve the equations below, if possible. If there is no solution, explain how you know.  Homework Help ✎
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Question 6
6.

\left|x\right|=6

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Question 7
7.

\left|x\right|=-2

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Question 8
8.

\left|x+7\right|=10

Question 9
9.

Cindy’s cylindrical paint bucket has a diameter of 12 inches and a height of 14.5 inches. If 1gallon≈231in.^3, how many gallons does her paint bucket hold?  Homework Help ✎

Question 10
10.

Write the equation of an exponential function that passes through the points (0,32) and (3,4). 9-39 HW eTool (Desmos)  Homework Help ✎

A cork in the shape of a cylinder has a radius of 2 cm, a height of 5 cm, and weighs 2.5 grams.  Homework Help ✎
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Question 11
11.

What is the volume of the cork?

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Question 12
12.

What is the cork’s density in grams per cubic centimeter? That is, how many grams of cork are there per cubic centimeter?