Answer:
Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s
Step-by-step explanation:
We have

Taking derivative with respect to time,

Given that
r = 40 inches
h = 20 inches

Substituting

Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s
Answer:
The length has 9 cube so the length is 9/8 or 1 1/8 ft.
the width has 4 cubes, so the width is 4/8 or 1/2 ft.
The height has 11 cubes, so the height is 11/8 or 1 3/8 ft.
So, the volume of the portion of the security wall that Tim has constructed so far is 99/128 cu ft.
Step-by-step explanation:
Answer:
The area of the cover for the hot tub must be:
Step-by-step explanation:
First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:
- <u>Area of a circle = pi * radius ^ 2</u> (you must know that the radius is half the diameter)
Since the diameter is mentioned, it can be replaced in the formula:
- Area of a circle = 3.14 * (3.5 feet) ^ 2
- <u>Area of a circle = 38,465 square feet. Approximately 38 square feet</u>.
you would cross multiply meaning 6(2x+2)=11(x-4) Then you distribute 6 so it would be 12x+12=11x-44 then you have to move the constant and the variable so 12x-11x= -44-12 so then the answer would be x = -56
Each friend will have 1/24 of her total perfume.
I’m not sure if this is right, because the wording is weird, but if she is giving 1/8 of her perfume to all three friends, and then those friends have to divide that 1/8 among themselves, that is one eighth divided by 3, and that is equal to 1/24