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lubasha [3.4K]
2 years ago
7

Help.me!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Svetach [21]2 years ago
4 0

Answer:

∠U = 40°

Step-by-step explanation:

in order to find the missing angle of U we need to know the two other angles.

We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.

Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.

This would mean that ∠U is 40°

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Find the measure of the reference angle for an 11 radian<br> radian angle.
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Answer:

  about 1.56637 radians ≈ 89.746°

Step-by-step explanation:

The reference angle in radians can be found by the formula ...

  ref angle = min(mod(θ, π), π -mod(θ, π))

Equivalently, it is ...

  ref angle = min(ceiling(θ/π) -θ/π, θ/π -floor(θ/π))×π

<h3>Application</h3>

When we divide 11 radians by π, the result is about 3.501409. The fractional part of this quotient is more than 1/2, so the reference angle will be ...

  ref angle = (1 -0.501409)π radians ≈ 1.56637 radians ≈ 89.746°

__

<em>Additional comment</em>

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

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