8U3 Geometric Applications of Exponents - Study Guide All

Solve:  $3x^2=75$  

•  $x=\pm\ 25$  

•  $x=\pm\ 5$  

•  $x=\pm\sqrt{75}$  

• no solution

Solve:  $\sqrt{x}+30=34$  

•  $x=64$  

•  $x=16$  

•  $x=4$  

• no solution

Solve:  $x^3+10=1010$  

•  $x=1020$  

•  $x=1000$  

•  $x=10$  

• no solution

Solve:  $\sqrt{x+11}=9$  

•  $x=-2$  

•  $x=70$  

•  $x=81$  

• no solution

AC made a ping-pong table for his man cave. The sides of the table are 108" and 60". What does the diagonal have to measure to ensure that the ping-pong table is rectangular? If necessary, round to the nearest tenth.

• 123.5 in

• 15,264 in

• 72.8 in

• 95 in

Find the distance between the two points.

• A

• B

• C

• D

A cone cup has a diameter of 6 cm and a height of 10 cm.

What is the volume of the cone cup? (Leave answer in terms of pi)

• $360\pi\ cm^3$

• $90\pi\ cm^3$

• $120\pi\ cm^3$

• $30\pi\ cm^3$

During a soccer game, the home team's manager notices a missing corner flag. The flag needs to be put up but he must avoid walking onto the field of play. To avoid this, he must walk 90 meters north and 120 meters west. To the nearest meter, how many meters would be saved if he could walk onto the field?

• 210 m

• 22,500 m

• 150 m

• 60 m

A television is identified by the diagonal measurement of the screen. A television has a 65-inch screen whose height is 33 inches. What is the width of the television screen?

• 98 in

• 73 in

• 56 in

• 146 in

A commemorative Masters golf ball comes in a cylindrical container. A golf ball has a radius of 21 mm and the cylinder has a height of 42 mm. How much wasted space (air) is there in the container? (The golf ball touches the sides, top, and bottom of the container.)

• $882\pi\ mm^3$

• $6,174\pi\ mm^3$

• $12,348\pi\ mm^3$

• $18,522\pi\ mm^3$