Answer:
square root of 325
Step-by-step explanation:
We know that
[volume of a sphere]=(4/3)*pi*r³
length of a circumference=42 ft
[length of a circumference]=2*pi*r-------> r=[length of a circumference]/(2*pi)
r=[42]/(2*pi)---------> r=6.6845 ft
[volume of a sphere]=(4/3)*pi*6.6845³-----------> 1251.11 ft³
the answer is 1251.11 ft³
Answer:
Step-by-step explanation:
x- axis is 2 units away
Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:

So the roots are:

Therefore we can write the expression in the following way:

Now the expression is as follows:

Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:

We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when 
when 
and
is always 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)