The length of a rectangle is twice its width. If the perimeter of the rectangle is 54 in, find its area.
2 answers:
Answer: 162 in²
Step-by-step explanation:
The factors of 54 are listed below:
- 1
- 2
- 3
- 6
- 9
- 18
- 27
- 54
18 and 9 are the two factors that when plugged into the equation below, equals 54:
This can also be written as:
So now that we have our two factors, we need to multiply them by each other to get our answer.
18 times 9 = 162
Our answer is 162
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Answer:
The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.
Step-by-step explanation:
The area of a sphere is given by the following formula:
In which A is the area, measured in cm², and r is the radius, measured in cm.
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min.
This means that
Determine the rate of change in surface area when r = 20 cm.
This is when
. So
Applying implicit differentiation.
We have two variables, A and r, so:
The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.