As we know,
now, let's plug the given values to find a² + b²
Answer:Subtract
from both sides of the equation
from both sides of the equation
Multiply all terms by the same value to eliminate fraction denominators
<span>The Volume of a Cylinder = </span><span>π <span>• r² • height<span>
</span></span></span>radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume =
<span>
<span>
<span>
2,290 cubic feet</span></span></span>
The hose delivers 80 <span>cubic feet per hour so it will take:
</span>2,290 / 80 =
<span>
<span>
<span>
28.625
</span>
</span>
</span>
hours
**************************************************************************
The volume of the pool is:
volume = PI * 182.25 * 4.5
=
<span>
<span>
<span>
2,576.</span></span></span>5 cubic feet
Answer: B: n^2+6n+1
Step-by-step explanation:
A=n
B=2n+6
C=n^2-1
AB-C
n(2n+6)-n^2-1
2n^2+6n-n^2+1
n^2+6n+1
So for this, you'll be using the pythagorean theorem, which is 
. In this case, 10 and 24 are the legs, and AB is the hypotenuse. Our equation will be 
Firstly, solve the exponents: 
Next, combine 100 and 576: 
And lastly, square root both sides to get 
And in short, Line AB is 26 ft, or the first option.
