Question 935194: Please help me to solve two questions : 1、A basketball is dropped from a height and it rebounds. Each time the basketball rebounds it rebounds to a height that is 4/5 of its previous height. The ball is dropped from a height of 200 centimeters. What height will the ball bounce to on the third rebound?
2、If the length of a rectangle is shortened by 2 centimeters and the width is increased by 5 centimeters, it will be a square with an area of 36 square centimeters. What is the length and width of the original rectangle ?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! I'll do the first one to get you started
# 1
Initial Height = 200 cm
It falls to the ground, then bounces up to a height of (4/5)*200 = 160 cm. This is after bounce 1.
It falls back down, and then rebounds to (4/5)*(160) = 128 cm. This is after bounce 2.
Finally, for bounce 3, it rebounds to a height of (4/5)*(128) = 102.4 cm.
Short summary:
Initial Height: 200 cm
Height after bounce 1: 160 cm
Height after bounce 2: 128 cm
Height after bounce 3: 102.4 cm
Question: "What height will the ball bounce to on the third rebound? "
Answer: 102.4 cm
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