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iren [92.7K]
3 years ago
11

The area of a circular plate is 625pi sqaure in. If the radius of the plate is tripled what is the new area

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

5625in²

Step-by-step explanation:

Area of the plate = πr²

625π = πr²

625 = r²

r = √625

r = 25in

If the radius of the plate is tripled, then the new radius will be 3(25) = 75in

New Area = π(75)²

New Area = 5625π in²

If the radius is tripled, the new area of the plate is 5625in²

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BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

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3 years ago
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Step-by-step explanation:

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I hope this helps

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Step-by-step explanation:

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