Answer:
A. 2.9π(9²)
Step-by-step explanation:
You are expected to know that the area of a circle is given by the formula ...
A = πr²
and that r in the formula represents the radius of the circle, half the diameter.
The area of the circular base of the cylinder is the area of a circle with a radius of 9 feet. It will be ...
A = π(9²)
When that is multiplied by the height of the cylinder to find its volume, you have ...
V = Bh
V = (π(9²))(2.9)
This can be rearranged to match the form in answer choice A:
2.9π(9)²
X=3/5
do you need an explanation?
3x^2 + 3x - 6
First factor out the 3 in front of x^2:
3( x^2 + x - 2 )
Now we can look at the inside of the brackets, and find two numbers that, when multiplied, give -2, and when added, give +1. You will usually find them if you create a list of factors of the constant term (-2 in this case).
2 * -1 = -2
2 + -1 = 1
So the factorization becomes 3(x+2)(x-1)
Answer:
There are 120 1st graders at Sierra Elementary School this year
Step-by-step explanation:
Let n represent the total number of 1st graders at Sierra Elementary School
Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54
→ n(
) = 54
→ 45n = 5400
→ n = 120