Step-by-step explanation:
a.) To model this scenario
Let the height of ball = y
The height of 1st= 0.5y
2nd =0.5(0.5y)
3rd = 0.5*(0.5(0.5y))
Hence the height of nth bounce can be modeled as
Height of nth bounce =(0.5ⁿ-1)*y
The exponential equation is
hn= (0.5ⁿ-1)*y
b.) if the ball is dropped from 9ft above the ground
y= 9ft
On the 4th bounce
n=4
Substituting in the exponential equation we have
h4=(0.5^4-1)*9
h4=0.5³*9
h4= 0.125*9
h4= 1.125ft
On the 4th bounce, the ball will reach a height of 1.125ft
1 plus 3 equals 4
Your answer is 4
2ab x cos (C) = 7 because
a^2 + b^2 - 2ab x cos(C) = c^2
2ab x cos(C) = a^2 + b^2 - c^2
2ab x cos(C) = 2^2 + 2^2 - 1^2
2ab x cos (C) = 7
