About 84.82
Step-by-step explanation:
The formula to find the volume of a cone is pi*r^2*(h/3). The formula to find radius is diameter/2. 6/2=3. Since r=3 and h=9, pi*3^2*(9/3)=84.82
Answer:
104
Step-by-step explanation:
women = 8/8
men = 5/8
all workers = 8/8 + 5/8 = 13/8
extra women workers = 8/8 - 5/8 = 3/8
so...
3/8 = 24
13/8 = x
( cross multiplication method)
3/8 x = 39
x = 104
Hence, there are 104 workers
Answer:
8
Step-by-step explanation:
This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.
In this problem, we see that 6 and x are the legs and 10 is the hypothenuse. We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:
6^2 + x^2 = 10^2
which further simplifies to:
36 + x^2 = 100
x^2 = 64
and so x would equal 8 (or -8, but it is impossible to have a side length of -8).
Therefore, the missing side is 8.
Answer: (x - 6)(x + 1)
Step-by-step explanation: This trinomial has an x² term, an x term and a constant term so it can be factored as the product of two binomials.
So starting with our two sets of parentheses, x² factors as x multiplied by x. Now we want to find factors of the constant term that add to the coefficient of the middle term. So we're looking for factors of -6 that add to -5.
A negative number factors into the product of a positive and a negative. So our factors of -6 are 6 × -1, -6 × 1, 3 × -2, or -3 × 2.
This is a trick problem because many of these pairs of factors look like they could add to -5 but the only one that does is -6 × 1.
So our answer is (x - 6)(x + 1).
