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:
The answer is "
"
Step-by-step explanation:
Please find the attached file of the graph.
Given:
Let
5x - 6 = 29
Add 6 to both sides
5x = 25
Divide both sides by 5
x = 5
Answer:
(x + 4)2 + (y - 9)2 = 25
Step-by-step explanation:
Answer:
X > 21000
Step-by-step explanation:
Given the following :
Payment plans :
PLAN A:
salary = $1000 per month
Commision = 10% of sales
PLAN B:
salary = $1300 per month
Commision = 15% of sales in excess of $9,000
Hence, for plan B; 15% is paid after deducting $9000 from total sales
For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?
That is ;
Plan B > plan A
Let total sales = x
Plan A:
$1,000 + 0.1x
Plan B:
$1,300 + 0.15(x - 9000)
1300 + 0.15(x - 9000) > 1000 + 0.1x
1300 + 0.15x - 1350 > 1000 + 0.1x
0.15x - 50 > 1000 + 0.1x
0.15x - 0.1x > 1000 + 50
0.05x > 1050
x > 1050/0.05
x > 21000
