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2 years ago

The area of a circle is 144π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Mathematics

1 answer:

max2010maxim [7]2 years ago

3 0

Answer:

24π inches

Step-by-step explanation:

Area = π × r²

144π = π × r²

r² = 144

r = 12

Circumference = 2 π × r

= 2 × π × 12

= 24π in

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Which two sets of angles are corresponding angles?

mojhsa [17]

Answer:

∠a and ∠d; ∠b and ∠c

Step-by-step explanation:

The two triangles as similar triangles and the scale factor is 2 : 1

The sides measuring 6 and 3 are corresponding sides

The sides measeuring 8 and 4 are ocrreposnding sides

⇒ ∠a and ∠d are corresponding angles

The sides measuring 8 and 4 are corresponding sides

The sides measeuring 4 and 2 are ocrreposnding sides

⇒ ∠b and ∠c are corresponding angles

8 0

1 year ago

Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land

Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are <u>89 acres</u> (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37% of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

$\frac{37}{100}\times 240$

$0.37\times 240$

$88.80$

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are <u>89 acres </u>(approximately).

5 0

3 years ago

The area of the surface of a circular pond is needed. A measure about the pond gives a circumference of about 47 feet. Find the

Whitepunk [10]

Answer:

55.95 ft²

Step-by-step explanation:

Circumference formula: C = 2πr => r = C / (2π)

Area formula: A = πr²

Substituting C / (2π) for r in the above equation, we get:

C 47 ft

A = π( ----------- )² = π ( -------------- )²

2π (2π)

or ...

π(47 ft)² 2209 ft²

A = ---------------------- = -------------------- = 55.95 ft²

4π² 4(3.14159)²

3 0

2 years ago

The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.

vladimir2022 [97]

Answer:

Hello! Your answer would be, A)F(x)=2x^2-8x-42

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

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2 years ago

A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95%

bazaltina [42]

Answer:

The 95% confidence interval for the population mean is between 61.5 and 68.5.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{14}{\sqrt{60}} = 3.5$

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5

The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5

The 95% confidence interval for the population mean is between 61.5 and 68.5.

6 0

2 years ago

Read 2 more answers