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Katena32 [7]
2 years ago
15

Find the value of the function sin Find the value of the function sin 310 a. –0.766044443119 c. 0 b. 0.850887688656 d. 0.0032258

00857
Mathematics
1 answer:
Alexeev081 [22]2 years ago
4 0

Answer:

  b. 0.850887688656

Step-by-step explanation:

Unless the argument of the sine function is specified in degrees or some other angle unit (revolutions, grads, minutes, seconds), it must be assumed to be radians. Here, the argument 310 is not shown as 310°, so we must assume it is 310 radians.

  sin(310) ≈ 0.850887688656

__

<em>Additional comment</em>

  sin(310°) ≈ –0.766044443119

A radian is dimensionless, indistinguishable from a pure number.

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The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: \frac{x}{12\pi } = \frac{130}{360}

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) \frac{arclength}{2\pi.r } = \frac{mAB}{360}, where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = \frac{mAB.2.\pi.r }{360}

arc length = \frac{90.2.3.14.6}{360}

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An <u>arc</u> <u>length</u> is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

\frac{x}{2.6.\pi } = \frac{130}{360}

\frac{x}{12\pi } = \frac{130}{360}

c) Resolving (b):

x = \frac{130.12.3.14}{360}

x = 13.6

The arc length for the image is 13.6 inches.

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3 years ago
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Verdich [7]
0.05 rounded to the nearest whole number is 0.
Hope this helps~
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3 years ago
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