Answer:
b
Step-by-step explanation:
Answer:
The volume of the cylinder is 108 π units³
Step-by-step explanation:
- The formula of the volume of the cone is V =
πr²h, where r is the radius of its base and h is its height - The formula of the volume of a cylinder is V = πr²h, where r is the radius of its base and h is its height
∵ The area of the base of the cylinder is equal to the area of
the base of the cone
∴ Their radii are equal
∵ The height of the cylinder is equal to the height of the cone
∵ The volume of the cone = 36 π units³
- Equate the formula of the volume of the cone by 36 π
∵ 36 π =
πr²h
- Multiply both sides by 3
∴ 108 π = πr²h
- Divide both sides by π
∴ 108 = r²h
- Substitute the value of r²h in the formula of the volume of
the cylinder
∵ V = πr²h
∴ V = π (108) = 108 π
∴ The volume of the cylinder is 108 π units³
Step-by-step explanation:
g(x)=3*2
=6
f(x)=(4x+3)2
=8x+6
g(f(-4))
f(x)=8x+6
f(-4)=8(-4)+6
=-32+6
= -26
g(f(-4))=6(-26)
=-156
Using <u>translations and proportions</u>, it is found that:
- To go from the Community Center to the Post Office, there is a translation of 2 units left and of 3 units down.
- You will travel 0.18 miles.
Translations are modifications made to the function, when it is shifted up/down, or left/right.
In this problem, to go from the Community Center to the Post Office, there is a translation of 2 units left and of 3 units down.
The distance is the hypotenuse of a right triangle, in which the legs are 2 units and 3 units. Hence, the distance on the coordinate grid is found applying the Pythagorean Theorem:
![d^2 = 2^2 + 3^2](https://tex.z-dn.net/?f=d%5E2%20%3D%202%5E2%20%2B%203%5E2)
![d = \sqrt{13}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B13%7D)
![d = 3.606](https://tex.z-dn.net/?f=d%20%3D%203.606)
Since each grid is 0.05 mile, in miles, the distance is:
![d = 0.05(3.606) = 0.18](https://tex.z-dn.net/?f=d%20%3D%200.05%283.606%29%20%3D%200.18)
You will travel 0.18 miles.
A similar problem is given at brainly.com/question/4521517
Answer: Small Campground: 15 garbage cans
Large Campground: 45 garbage cans
Step-by-step explanation: If there are 40 picnic tables in a small campground, there should be 15 garbage cans. Because 40/8=5 and 5*3=15. If there are 120 picnic tables in a large campground, there should be 45 garbage cans. Because 120/8=15 and 15*3=45