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Serjik [45]
3 years ago
13

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

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No.

Step-by-step explanation:

They are not because the left side is 52, while the right side is 0.

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3 years ago
What is the value of X
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Step-by-step explanation:

the sides MJ and MK should be equal so 12x-24 = 4x

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3 years ago
Read 2 more answers
Hector has a part-time job at a garage. He gets a paycheck of $820 every for
ElenaW [278]

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B.  Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes:                       ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

  Weeks         Paycheck

      4                   820

      3                     x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0
3 years ago
PLEASE HELP!!! In a set of 1,000 integers from 1 to 1,000, an integer chosen at random on a single trial should be an integer fr
Mumz [18]

Answer:

Step-by-step explanation:

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3 0
2 years ago
Solve the inequality 2c/3+1&gt;7
beks73 [17]

Answer:

c > 9

Step-by-step explanation:

(2c/3) + 1 > 7     subtract 1 from both sides

2c/3 > 7 -1

2c/3 > 6  (multiply both sides by 3)

2c > 6(3)

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c > 18 / 2

c > 9

6 0
3 years ago
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