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natita [175]
2 years ago
7

Help me pleasee guyss

Mathematics
1 answer:
romanna [79]2 years ago
4 0

Answer:

9.5 mm

Step-by-step explanation:

They gave the diameter, and we needed to find the radius

r = d × 1/2

r = 19 × 1/2

r = 9.5 mm

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algol [13]
f\left(\dfrac\beta2\right)=\sin\dfrac\beta2

Recall the half-angle identity:

\sin^2\dfrac\beta2=\dfrac{1-\cos\beta}2\implies\sin\dfrac\beta2=\pm\sqrt{\dfrac{1-\cos\beta}2}

So in order to find f\left(\dfrac\beta2\right), we only need to know the value of \cos\beta. But there are two possible values. To decide which to take, we use the given information: we know that \beta lies in quadrant III, which means \pi, so \dfrac\pi2, which places \dfrac\beta2 in quadrant II. In this quadrant, the sine of angle is positive, and so

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