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2 years ago

Which proportion could be used to find the length of side b?

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

8 0

Answer:

D sin 85 sin 31

---------- = ----------

b 9.3

Step-by-step explanation:

We can use the law of sins

sin B sin A sin C

---------- = ----------- = ----------

b a c

We do not know angle C, but we can calculate it

The angles of a triangle add to 180

A + B + C = 180

64+ 85 + C = 180

149 + C = 180

C = 180-149

C =31

sin B sin C

---------- = ----------

b c

We know B = 85, C = 31, b = unknown and c = 9.3

sin 85 sin 31

---------- = ----------

b 9.3

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Answer:

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Step-by-step explanation:

Given an angle of 540°

At 6 revolutions per second, which is the angular velocity.

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We are asked to find the time and the distance.

To find the time, let's use the formula:

$\theta = a*t$

Where $\theta$ = angle in radians.

Converting 540° to radians, we have:

$\theta = 540 * \frac{\pi}{180} = 9.42 rad$

Therefore, from the formula, let's find t.

$\theta = a*t$

$9.42 = 6 * t$

$t = \frac{9.42}{6} = 1.57$

time = 1.57

To find the distance, we have:

$\frac{1.57 * 360}{360} = \frac{d}{2 \pi r}$

$\frac{1.57 * 360}{360} = \frac{d}{2\pi 10}$

$1.57 = \frac{d}{20\pi}$

$d = 20 \pi *1.57$

d = 98.65 mm

Therefore, the time is 1.57 seconds and the distance is 98.65 mm

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2 years ago

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Answer:

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