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anastassius [24]
3 years ago
14

A circle with circumference 20 has an arc with a 72 degrees central angle. What is the length of the arc?

Mathematics
1 answer:
siniylev [52]3 years ago
7 0

Step-by-step explanation:

Length of arc

=  \frac{ \theta}{360 \degree}  \times c \\  \\  =  \frac{72 \degree}{360 \degree}   \times 20\\  \\  = \frac{1}{5}   \times 20 \\  \\  = 4 \: units \\

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If Sin A ≈ 0.766 then Cos B ≈ 0.766.

If Cos B ≈ 0.766 then Sin A ≈ 0.766

Step-by-step explanation: In any given right angled triangle, one angle measures 90 degrees while the addition of the other two angles equals to 90 degrees. Hence if angle C is given as 90 degrees, then angles A and B added together equals 90 degrees (complementary angles equal 90 degrees).

Also, Sin A cannot be the same value as Sin B, since angle A and angle B are not equal in measurement. However, being complementary, the Sin of angle A equals the Cos of angle B.

If Sin A ≈ 0.766, then angle A ≈ 50 degrees

That makes angle B equal to 40 degrees. The Cos of B ≈ 0.766

Therefore if Sin A ≈ 0.766, then Cos B ≈ 0.766

If Cos B ≈ 0.766 then Sin A ≈ 0.766 are both correct

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3 years ago
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Step-by-step explanation:

the ratio we can it is

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