Answer:
1/6
Step-by-step explanation:
using this formula

You get 0.1666666666666666666666666666666666666666
which is 1/6
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Answer:

Step-by-step explanation:
Let
be the volumes of the smaller and bigger cylinder.
The formula for the volume of a cylinder is given by :

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

So, the volume of the smaller cylinder is equal to
.
Answer:
Mary is 8 and that Zane and Chase are both 4 years old.
Step-by-step explanation:
For this equation, we will say Mary = M, Zane = Z, and Chase = C.
We will now convert the word problem into equations.

Now I will solve the equations by putting C into the equation.

So we can see that Mary is 8 and that Zane and Chase are both 4 years old.
Answer:
The polynomial would be f(x) = x^3 + 4x^2 - 5x
Step-by-step explanation:
In order to find this, start with the equations that x is equal to each of the solutions. Then solve each of those expressions for 0.
-5 = x
0 = x + 5
1 = x
0 = x - 1
0 = x
Now put each of the terms that you have in parenthesis and multiply them all together.
f(x) = (x)(x + 5)(x - 1)
f(x) = (x)(x^2 + 4x - 5)
f(x) = x^3 + 4x^2 - 5x