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3 years ago

Point P is the center of the circle below. What is the exact area

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Answer:

$Area =192\pi$

Step-by-step explanation:

Given

$\theta = 120^o$

$r =24$

Required

The area of the shaded sector

This is calculated as:

$Area =\frac{\theta}{360} * \pi r^2$

This gives

$Area =\frac{!20}{360} * \pi *24^2$

$Area =\frac{1}{3} * \pi *576$

$Area =\pi *192$

$Area =192\pi$

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PLEASE ANSWER THIS QUESTION!!!!!!!!!

SCORPION-xisa [38]

Answer:

the answer is 6.5 because the left side would be 44 and the right side would be 46.5

Step-by-step explanation:

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3 years ago

You want to know how many miles harriet went. which situation about her exercise best represents the inequality 15x 7 > 52?

Lady_Fox [76]

The answer is either a or d but we know she did all of this for more than 52 minutes.

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3 years ago

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

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3 years ago

Mai needs to make a total of 80 deliveries this week. So far she has completed 60 of them. What percentage of her total deliveri

prisoha [69]

Answer:

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Step-by-step explanation:

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2 years ago

An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of

____ [38]

Answer:

angle at A: 51°
base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles at B and C are the complement of half this value, or ...

90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

∠A = 51°

∠B = ∠C = 64.5°

6 0

3 years ago