The solution for r in the given equation is r = √[(3x)/(pi h)(m)]
<h3>How to determine the solution of r in the equation?</h3>
The equation is given as:
m = (3x)/(pi r^(2)h)
Multiply both sides of the equation by (pi r^2h)
So, we have:
(pi r^(2)h) * m = (3x)/(pi r^(2)h) * (pi r^(2)h)
Evaluate the product in the above equation
So, we have:
(pi r^(2)h) * m = (3x)
Divide both sides of the equation by (pi h)(m)
So, we have:
(pi r^(2)h) * m/(pi h)(m) = (3x)/(pi h)(m)
Evaluate the quotient in the above equation
So, we have:
r^(2) = (3x)/(pi h)(m)
Take the square root of both sides in the above equation
So, we have:
√r^(2) = √[(3x)/(pi h)(m)]
Evaluate the square root of both sides in the above equation
So, we have:
r = √[(3x)/(pi h)(m)]
Hence, the solution for r in the given equation is r = √[(3x)/(pi h)(m)]
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Answer:
-10, 4
Step-by-step explanation:
to solve this equation we need to plug in each set of coordinates
there is one in particular that does not fit
-10, 4
when plugged in it turns into
4 > 10 - 3
4 > 7
that is not true
<u>Answer:</u>
297 cubic feet
<u>Step-by-step explanation:</u>
We are given that a right rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft.
We are to find the volume of this prism.
We know the formula of volume of a rectangular prism is given by: 
where 
is the width, 
is the height and 
is the length of the prism.
So substituting the given values in the formula:
Volume of prism = 
297 cubic feet
Answer: 2
Step-by-step explanation:
subtract the lowest number from the highest
4-2=2
Step-by-step explanation:
√(-5.5-6.5)²+(-3+3)²
=√144
=12
