1.The hypotenuse of a right triangle has length13, and a leg has length4. Find the area of the triangle. (Round your answer to two decimal places.)

2.A restaurant serves soda pop in cylindrical pitchers that are6inches in diameter and 8 inches tall. If the pitcher has a1-inch head of foam, how much soda is lost as a result? (Round your answer to two decimal places.)

in³of soda is lost.

3.A soup can has a diameter of3 7/8inches and a height of5 3/4inches.

Find the volume of the soup can. (Round your answer to one decimal place.)

4.City A, is273miles due south of City B. City C is182miles due east of City B. How many miles long is a plane trip from City A directly to City C? (Round your answer to the nearest whole number.)

5.Your in-ground pool is rectangular and has a depth of5feet. If the width of the pool is16feet and the length is25feet, how much water does the pool hold?

6(a)The diameter of a certain ball is2.9inches. What is the volume of the ball? (Round your answer to two decimal places.)

in³

(b)The ball is covered in material. How many square inches are needed to make the cover of the ball? (Round your answer to one decimal place.)

in²

^7.The following exercise concerns the golden ratio.

The shorter side of a golden rectangle is6inches. How long is the longer side? Round your answer to one decimal place.

8.A tennis player stands 39 feet behind the net, which is 3.5 feet tall. He extends his racket to a height of11feet and hits a serve. The ball passes6inches above the net. How far beyond the net does the tennis ball strike the court?Suggestion: Ifdis the distance past the net, the distance from the server to where the ball strikes is39 +d.

(Assume the ball travels in a straight line. Round your answer to one decimal place.)