Answer:
$1200
Step-by-step explanation:
Let the roof be square shaped
Area of the roof = L²
L is the side length of the roof
Given
L = 40ft
Area of the roof = 40²
Area of the roof = 1600ft²
If plants used for a green roof cost $0.75 per square foot, this means
1 ft² = $0.75
Let the cost needed to cover both sides of the roof be y, hence;
1600ft² = y
Divide both expressions
1/1600 = 0.75/y
y × 1 = 0.75×1600.
y = 0.75×1600
y = 1200
Hence it will cost $1200 to cover both sides of the roof
Answer:
The dimensions of the mirror is 9 feet and 2 feet
Step-by-step explanation:
Keep in mind that the area and perimeter of a rectangle is:
Area - length x width
Perimeter - 2 (l + w)
List the factors of 18 (the area of the mirror):
1, 2, 3, 6, 9, 18
POSSIBLE DIMENSIONS OF MIRROR:
1 ft and 18 ft
Area = 18 ft^2
Perimeter = 38 feet
2 ft and 9 ft
Area = 18 ft^2
Perimeter = 22 feet
3 ft and 6 ft
Perimeter = 18 feet
The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.
Hope these helps!
Answer:
Step-by-step explanation:
Hello,
a. The area of region P is the area of the rectangle 1 * e minus the
![\displaystyle \int\limits^0_1 {e^x} \, dx=[e^x]^{1}_{0}=e-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5Ex%7D%20%5C%2C%20dx%3D%5Be%5Ex%5D%5E%7B1%7D_%7B0%7D%3De-1)
So this is e - (e-1) = e - e + 1 = 1
b. The area of region P is the area of the rectangle 1 * e minus P and minus the
![\displaystyle \int\limits^0_1 {e^{-x}} \, dx=[-e^{-x}]^{1}_{0}=-e^{-1}+1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5E%7B-x%7D%7D%20%5C%2C%20dx%3D%5B-e%5E%7B-x%7D%5D%5E%7B1%7D_%7B0%7D%3D-e%5E%7B-1%7D%2B1)
So this is

This is around 1.08616127...
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The <em><u>correct answers</u></em> are:
Not change; not change; and triple.
Explanation:
A change in the amount he pays on other ingredients will not change the amount he pays for potatoes. This means m does not change.
A change in the price of potatoes will not change the amount he pays for the other ingredients. This means b does not change.
A change in the price of potatoes will, however, change the amount he pays total for the potatoes. Tripling the price of potatoes will cause the amount he pays total for the potatoes to triple as well.
SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150
Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side, so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.