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SpyIntel [72]
3 years ago
10

A sector of circle C shown below has a radius of 6 centimeters and a central angle that measures 80 degrees. Which expression be

low correctly calculates the area of this sector in square centimeters
Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer:

The area of the sector is 8*pi cm² or 25.13272 cm².

Step-by-step explanation:

In order to calculate the area of a circular sector we can apply a rule of three in such a way that the circle's area, pi*r²  cm², is related to 360º in such a way that "x" cm² is related to the angle of the sector. We have:

pi*r² cm² ---------> 360º

x cm² ------------> 80º

pi*r²/x = 360/80

360*x = 80*pi*r²

x = 80*pi*r²/360

x = 80*pi*(6)²/360

x = 80*pi*36/360

x = 8*pi cm²

The area of the sector is 8*pi cm² or 25.13272 cm².

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A boat traveled 225 miles each way downstream and back. The trip downstream took 9 hours. The trip back took 15 hours. What is t
Karolina [17]

Answer:

Boat = 20 mph

Current = 5 mph

Step-by-step explanation:

If b is the speed of the boat, and c is the speed of the current, then:

b + c = 225 / 9 = 25

b − c = 225 / 15 = 15

Solve the system of equations with elimination.

2b = 40

b = 20

Plug back into either equation to find the speed of the current.

c = 5

5 0
3 years ago
Suzie has 55 pairs of shoes which is 33 less than twice the amount of shoes Jamie has. how many pairs of shoes does Jamie have
tankabanditka [31]

Answer:

Jamie has 44 pairs of shoes

Step-by-step explanation:

Let

Jamie= x pairs of shoes

Suzie= 33 less than twice the amount of shoes Jamie has

2x - 33 = 55

Solve:

2x - 33 = 55

Collect like terms

2x = 55 + 33

2x = 88

Divide both sides by 2

2x / 2 = 88 / 2

x = 44

Jamie = x = 44 pairs of shoes

Therefore, Jamie has 44 pairs of shoes

4 0
3 years ago
The product of a number and four is at most -10
Ronch [10]
The product (multiply) of a number (x) and four (4) is at most (≤) -10.

4x ≤ -10

To solve this, divide both sides by 4

x ≤ -2\frac{1}{2}


6 0
3 years ago
A sales person told Hannah she could buy the computer on an installment plan. She
VashaNatasha [74]

Answer:

She would be paying $2,622 total.

Step-by-step explanation:

1. To get how much she'd be paying for 24 months, all you have to do is multiply 24 times 95.

2. To get the down payment you had to ask yourself what's 15% of 2,280. 15% of 2280 is 342.

3. Add those together and you'd get the total payment.

Simple.

Oh and gimme Brainliest if it's correct.

6 0
3 years ago
the area of the surface of the swimming pool is 210 feet . what is the length d of the deep end ( in feets )?
zlopas [31]
<span>this is how i did it
 10(9)(d)= 210
  90d= 210
  d=2.3 feet.</span>
3 0
3 years ago
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