We have radius r= 6 inches and volume V≥ 324 pi inches∧3 we need H=?
We will use next formula to calculate height.
V= B * H = r∧2 pi * H
r∧2 pi * H ≥ 324 pi => 6∧2 pi * H ≥ 324 pi => 36 pi * H ≥ 324 pi
We will divide the both sides of the inequality with pi and get
36 * H ≥ 324 => H ≥ 324/36 => H ≥ 9 inches
Good luck!!!
Answer:

Step-by-step explanation:
The base case in the recursive function are:


The recursive case is equal to:

So replace
for
:

In the new expression
is a base case so you don't have to worry for that part, but
is still the recursive case so evaluate again in 

and
are define as base cases so you replace for it's numbers:

Now return to
and replace for the new values:

So the final answer is 20
Answer:
x = 58
Step-by-step explanation:
This question can be solved by using the exterior angle property, which states that the exterior angle of a triangle = the sum of the two opposite interior angles.
62 lies on a line, so the exterior angle is 180 - 62, or 118 degrees.
Using the EAP, we can conclude the following:
(x + 2) + (x) = 118
2x + 2 = 118
2x = 116
x = 58
Hope this helps
Hello!
The area of a parallelogram is A=bh.
A=9(5)=45
Each tile has an area of 45. Now we multiply by 12 to get the total.
45(12)=540
The total area of all the tiles is 540 in.²
I hope this helps!
When Completing the square you take the 'b' term and divide it by 2, then square it.
3/2, (3/2)^2 = 9/4
Letter C