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nikitadnepr [17]
3 years ago
11

In a circle, an arc has an arc length of 4π. If the arc measure is 80°, what is the length of the radius of the circle?

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

9 units.

Step-by-step explanation:

Arc length = r C where r = radius and C is the arc measure in radians.

Arc measure =  80 * π/180 radians. So:

4π =  r * 80π/180

4 = 80r / 180

80r = 4 * 180

r =  720 /80

r = 9.

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Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many
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Answer:

Step-by-step explanation:

Declaration

Let Heather's number of messages = x

Let Eric's number of messages = x + 9

Let Chang's number of messages = 3(x +9)

Equation

x + x + 9 + 3(x + 9) = 116    

Solution

x + x + 9 + 3(x + 9) = 116                             Remove the brackets

x + x + 9 + 3x + 27 = 116                             Combine like terms

x + x + 3x + 9 + 27 = 116

5x + 36 = 116                                               Subtract 36 from both sides

5x + 36 - 36 = 116 - 36                                Combine

5x = 80                                                       Divide both sides by 5

5x/5 = 80/5

x = 16

Answer

Heather = 16

Eric = 16 + 9 = 25

Chang = 3*25 = 75

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