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3 years ago

The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Answer:

C = 4 pi ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Solving for r

4 pi = pi r^2

Dividing each side by pi

4 = r^2

Taking the square root of each side

sqrt(4) = sqrt(r^2)

2 = r

Now we can find the circumference

C = 2 * pi *r

C = 2*pi*2

C = 4 pi ft

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3 years ago

Solve for n. -4(n+5)=8

il63 [147K]

Answer:

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3 years ago

Read 2 more answers

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the remainder

victus00 [196]

Answer:

Step-by-step explanation:

Given:

(h⁴ + h² – 2) ÷ (h + 3).

We could obtain the remainder using the remainder theorem :

That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).

Using the reminder theorem,

Equate h+3 to 0 and obtain the value of h at h+3 = 0

h + 3 = 0 ; h = - 3

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h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88

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2 years ago

An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio

Lena [83]

Answer:

The width is $w = \$ 729.7$

Step-by-step explanation:

From the question we are told that

The population standard deviation is $\sigma = \% 1,000$

The sample size is $n = 50$

The sample mean is $\= x = \$ 15,000$

Given that the confidence level is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

=> $\alpha = 1\%$

=> $\alpha = 0.01$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58$

Generally margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

$E = 364.9$

The width of the 99% confidence interval is mathematically evaluated as

$w = 2 * E$

substituting values

$w = 2 * 364.9$

$w = \$ 729.7$

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3 years ago

2x+3≥7 OR 2x+9>11

lawyer [7]

You should try it with the app photomath it should give you the right answer

8 0

3 years ago