suppose you drop a tennis ball from a height of 8 feet. after the ball hits the floor, it rebounds to 80% of its previous height. how high will the ball rebound after its third bounce? round to the nearest tenth.

a) 3.3 feet
b) 4.1 feet
c) 5.1 feet
d) 1 feet

 The correct option is (b) 4.1 feet.

Step-by-step explanation:  Given that a tennis ball is dropped from a height of 8 feet.  After the ball hits the floor, it rebounds to 80% of its previous height.

We are to find the height to which the ball will rebound after its third bounce.

The height to which the ball rebound after first bounce is

The height to which the ball rebound after second bounce is

The height to which the ball rebound after third bounce is

Therefore, the ball will rebound to a height of 4.096 feet after third bounce.

Rounding to the nearest tenth, the required height will be 4.1 feet.

Option (b) is correct.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.