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Licemer1 [7]
3 years ago
6

A circle has an arc of length 20π that is intercepted by a central angle of 180°. What is the radius of the circle?

Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer:

10π

Step-by-step explanation:

RULE:  The angle measure of the central angle is congruent to the measure of the intercepted arc.  

RULE:  Central Angle = Arc length

Given:  

Arc length (20 π) = central angle (180)

we know 180 degrees is a straight line, thus a semi-circle is created.  This would be the diameter.  

1/2 diameter is the radius.  20π/2 is the radius.  

10π

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2 years ago
How did the tempicher change if at first it increased by 5% and then increased by 20 percent
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Answer:

Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.

Step-by-step explanation:

Take a number, x.

Now increase it by 5%.

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The increase is 26% of the original number.

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2 years ago
On one day, 4 chefs and 5 helpers earned $650.
Arlecino [84]
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5c + 6h = 800 where c are chefs, h are helpers

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4c = 650 -5h
c = (650- 5h)/4

Then substitute that into the second equation and solve for a number value for h
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Multiply both sides by 4
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Take that 50 and substitute it into the expression we have for c to get a number value for c

C= 650-5(50)/4
C = 650-250/4
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Check your first equations, substituting $50 for the helpers and $100 for the chefs.

4 (100) + 5(50) =
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5(100) + 6(50) =
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3 years ago
Please find the rule on how the triangles are congruent.
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SAS (number 4)

7 0
3 years ago
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Step-by-step explanation:

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7 0
3 years ago
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