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Lostsunrise [7]
3 years ago
12

A circle with radius 10 has a sector with a central angle of 2/5 pi radians what is the area of the sector in terms of pi

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

  20π square units

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r is the radius and θ is the central angle in radians.

Filling in your numbers, we find the area to be ...

  A = (1/2)(10²)(2/5π) = 20π

The area of the sector is 20π square units.

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What is the solution to this equation -4x + 2=26
wolverine [178]

-4x+2=26           <em>subtract 2 from both sides</em>

-4x=24             <em>divide both sides by (-4)</em>

\boxed{x=-6}

8 0
3 years ago
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Emma drank 1/4 of a milk shake in 1/10 of an hour. how many minutes will it take her to drink a full milk shake
Kay [80]
The problem gives you the time in hours, but you're looking for your answer in minutes so change 1/10 of an hour to minutes first. To do this, multiply 1/10 by 60 to get 6 minutes. Since there are 4 quarters in a whole, multiply 6*4. It would take her 24 minutes to drink the whole shake
4 0
3 years ago
A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa
Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, the parameters are:

z = 2.575, n = 2000, \pi = 0.77

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
Jeremy’s dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanil
Iteru [2.4K]

Answer:

22 cupcakes

Step-by-step explanation:

13+15=28

50-28=22

4 0
3 years ago
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PLZ HURRY IT'S URGENT!!
Ksenya-84 [330]
The answer would be 40
-4(-2) = 8
8(5) = 40
7 0
3 years ago
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