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2 years ago

5

Please Help!

1 answer:

aksik [14]2 years ago

3 0

To solve the question we need to calculate the total circumference of the wheel plus the rim.
Total diameter will be:
d=(4+4+37+37)=82 cm
hence:
C=πd
C=3.14×82
C=257.48 cm
Thus the total rotations required to cover 95267.6 cm will be:
Rotations=95267.6/257.48
=370 rotations

Answer: D] 370 rotations

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Answer:

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From the given statement:

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Using trigonometry identities:

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Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

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now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

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(b)

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