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svetlana [45]
3 years ago
5

Find the area of sector AOB. Express your answer in terms of pi and rounded to the nearest tenth.

Mathematics
1 answer:
STatiana [176]3 years ago
7 0
63\pi

The sector is \frac{70}{360}; there are 360 degrees in a circle.
You use the formula \pi r^{2}.
18cm is the radius, and then you square it to get 324.
Multiply 324 by \frac{70}{360}
You get 63\pi
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Find the value of Sin^-1(tan π/4).
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Answer:

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Step-by-step explanation:

1. Remind that

\tan \left(\dfrac{\pi }{4}\right)=1.

Here you can use trigonometric table to find the value of \tan\left(\dfrac{\pi}{4}\right), or you can remind that \dfrac{\pi}{4}=45^{\circ} and \tan45^{\circ}=1 because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.

2. Now

\sin^{-1}\left(\tan\left(\dfrac{\pi}{4}\right)\right)=\sin^{-1}1=\dfrac{\pi}{2},

because

\sin\dfrac{\pi}{2}=1.

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3 years ago
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Neko [114]

Answer:The tip is 5.70 and the whole price is 43.70

Step-by-step explanation:those are exact

3 0
2 years ago
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Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highwa
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Answer:

the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Step-by-step explanation:

The computation of the standard deviation of the speeds of cars is shown below;

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Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

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3 years ago
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