Ples 1. bradley dropped a ball from a roof 16 feet high. each time the ball hits the ground, it bounces the previous height. find the height the ball will bounce after hitting the ground the fourth time. (show work) 2. the 2002 denali earthquake in alaska had a richter scale magnitude of 6.7. the 2003 rat islands earthquake in alaska had a richter scale magnitude of 7.8. (show work) suppose an architect has designed a building strong enough to withstand an earthquake 70 times as intense as the denali quake and 30 times as intense as the rat islands quake. find which structure is strongest. explain your finding. (show work)

1) The height the ball will bounce after hitting the ground the fourth time = 2.0736ft

2) The building is strong enough to withstand the Denali earthquake

Step-by-step explanation:

1) According to the given statement Bradley dropped the ball from a roof 16 feet high.Each time the ball hits the ground, it bounces3/5 the previous height

Therefore,

First bounce = 16*3/5 = 9.6

Second bounce = 9.6 *3/5 = 5.76

Third bounce =  5.76*3/5=3.456

Fourth bounce = 3.456*3/5=2.0736

The height the ball will bounce after hitting the ground the fourth time = 2.0736ft

2) The 2002 Denali earthquake in Alaska had a Richter scale magnitude of 6.7.

Denali earthquake = 6.7 * 70 =469

It means that the building in Denali should be strong enough to withstand an earthquake of that magnitude  

The 2003 Rat Islands earthquake in Alaska had a Richter scale magnitude of 7.8

Rat Islands earthquake = 7.8 * 30 = 234

It means that the building in Rat Islands should be strong enough to withstand an earthquake of that magnitude