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Paraphin [41]
2 years ago
10

The area of a circle is 81 pi in2 what is the circumference in inches express ur answer in terms of pi

Mathematics
1 answer:
Luden [163]2 years ago
5 0

Answer:

Circumference of circle = 18π inches

Step-by-step explanation:

Given the following data;

Area of circle = 81π in²

To find the circumference;

First of all, we would find the radius of the circle using the area of circle formula.

Area of circle = πr²

Substituting into the formula, we have:

81π = πr²

Dividing both sides by π, we have;

81 = r²

Taking the square root of both sides, we have;

r = 9 inches

Now, to find the circumference of the circle;

Circumference of circle = 2πr

Circumference of circle = 2*π*9

Circumference of circle = 18π inches.

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P = 14.7e-0.21x, where x is the number of miles above sea level. To the nearest foot, how high
AlladinOne [14]

9514 1404 393

Answer:

  13064 feet

Step-by-step explanation:

We can rewrite the formula so that x is in feet. Equating the new formula to 8.743 PSI, we have ...

  8.743 = 14.7e^(-0.21x/5280)

Dividing by 14.7 and taking natural logs, we have ...

  ln(8.743/14.7) = -0.21x/5280

Multiplying by the inverse of the coefficient of x gives ...

  x = 5280·ln(8.743/14.7)/-0.21 ≈ 13064.0806

The peak of the mountain is about 13,064 feet high.

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2 years ago
The first term of a geometric series is 3, and the sum of the first term and the second term is 15. What is the sum of the first
8_murik_8 [283]
Hello,
u_{1}=3
u_{2}=3*r

u_{1}+u_{2}=15=3(1+r)
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3 years ago
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Solve the given inequality. Describe the solution set using the set builder or interval notation. Then graph the solution set on
Sophie [7]

Answer: THIRD OPTION.

Step-by-step explanation:

Given the following inequality:

3(x-5)\geq 6

You can follow these steps in order to solve it:

1. Apply Distributive property on the left side:

3(x-5)\geq 6\\\\(3)(x)+(3)(-5)\geq 6\\\\3x-15\geq 6

2. Add 15 to both sides of the inequality:

3x-15+(15)\geq 6+(15)\\\\3x\geq 21

3. Finally, divide both sides of the inequality by 3:

\frac{3x}{3}\geq \frac{21}{3}\\\\x\geq 7

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Therefore, the solution can be expressed as:

[7, \infty)

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