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3 years ago

What is the answer to this?

Mathematics

1 answer:

Zina [86]3 years ago

5 0

Answer:

37.14 units

Step-by-step explanation:

the whole circumference of a circle is 2×pi×r

a whole circle rotates 360 degrees (one time all around).

so, the length of the arc for a full trip (360 degrees) around a circle is the stated 2×pi×r.

now, if we go only for a part of that full trip angle, the arc is only the corresponding part of the circumference.

in our example here, r (radius) = QR = 19 units

and we only go along the circle for 112 degrees out of the full 360 (112 parts of the whole 360).

so the arc QS = 2×pi×19 × 112/360 = 37.14 units

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3 years ago

If there are 13400 students at Rocky Valley College and 1/4

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Answer:

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3 years ago

With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s

Elden [556K]

Answer:

Adam = 70 pounds

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Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

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when all three boys are standing on the scale, it reads 170 pounds.

$A + B + C = 170$ - Eq(1)

when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

$B + C = 100$ - Eq(2)

when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

$C = 60$

So we already knew the weight of boy C. (it was in the question all along)

$C = 60$ pounds

<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>

we can put this value back in Eq(2), to find the weight of boy B.

$B + C = 100$

$B + 60 = 100$

$B = 100 - 60$

$B = 40$

the

the weight of boy B (Ben) is $B = 40$ pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

$A + B + C = 170$

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The Answer:

Adam = 70 pounds

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4 years ago

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Answer:

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3 years ago

An airplane departs airport A at a heading of 300 (N 60 W). After traveling 320 miles, the airplane adjusts its course to 350 (N

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The shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.

<h3>What is the law of cosine?</h3>

When the two sides of and one angle is known, then to find the third side, the law of cosine is used.

It can be given as,

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The image of this problem is attached below. In this image, the two sides 112 miles and 320 miles are shown and the angle between them is 130 degrees. Thus, the value of x is,

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Hence, the shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.

Learn more about the law of cosine here;

brainly.com/question/4372174

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3 years ago