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Ilia_Sergeevich [38]

2 years ago

10

A roll of wire has 51 inches of wire. If each bracelet requires 7.2 inches of wire, estimate the number of bracelets that can be

made. Explain why your answer is right.

1 answer:

sergeinik [125]2 years ago

8 0

Answer:

7

Step-by-step explanation:

51 ÷ 7.2 is about 7.08 continued but you can't make .08 of a braclet so it's just 7

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Recall the angle sum identities:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

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Divide through numerator and denominator by $\cos x\cos y$ to get

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Next, we use the fact that $x,y$ lie in the first quadrant to determine that

$\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2$

$\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}$

So we then have

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