Given:
The value of the solid's surface area is equal to the value of the solid's volume.
Length(l) = 9 units
width(b) = 4 units
Height(h) = x units
To find:
The value of x.
Solution:
Solid's surface area is
Volume of solid is
Solid's surface area = Volume of solid
Divide both sides by 10.
Therefore, the value of x is 7.2.
Answer:
The height of a bouncing ball is defined by .
Step-by-step explanation:
According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:
,
,
(1)
Where:
- Height reached by the ball on the first bounce, measured in feet.
- Decrease rate, no unit.
- Number of bounces, no unit.
- Height reached by the ball on the n-th bounce, measured in feet.
The decrease rate is the ratio between heights of two consecutive bounces, that is:
(2)
Where is the height reached by the ball on the second bounce, measured in feet.
If we know that and
, then the expression for the height of the bouncing ball is:
The height of a bouncing ball is defined by .