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katovenus [111]
3 years ago
12

A circle has a circumference of 18. It has an arc of length 6. What is the central angle of the arc, in degrees?

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0
Circumference: 2πr C=18 so r= 18/2π= 9π

Arc length = rθ 6=(9π)θ θ=6/9π

Convert to degrees by multiplying by 180/π

6/9π x 180/π = 120 degrees
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Step-by-step explanation:

The cards are 5 dollars each. 1.99 for shipping is all the same. The only thing that changes is the amount that he sells. So the amount of Greeting cards sold is the dependent variable.

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Which of the following could be points on the unit circle?
ipn [44]

Answer:

Points A and C are on the unit circle

Step-by-step explanation:

The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.

In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.

A. ( 5/13, 12/13)

\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1

Since the sum of the squares is 1, the point is on the unit circle.

C. (1/3, 2/3)

\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}

Since the sum of the squares is less than 1, the point is on the unit circle.

5 0
3 years ago
Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which of these is a reasonable estimate fo
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6 0
3 years ago
If the mine winch drum diameter is 6 m, calculate how far the cage will drop for each single rotation of the drum.use formular c
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The cage will drop 18.84m for each single rotation of the drum.

It is given that the diameter of the mine winch, d= 6 m.

We can calculate that how far the cage will drop for each single rotation of the drum by using the formula of the circumference.

Circumference, c = 2πr

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