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ioda
3 years ago
9

A sector of a circle has an area of 12π and a central angle of 2pi/3 radians. The radius of the circle is how many units long?

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0
(16pi) if explanation needed, 24* 2* pi= 48pi
48 pi/ 3= 16pi
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A flagpole broke in a storm. It was originally 81 8181 feet tall. 28 2828 feet are still sticking straight out of the ground, wh
solong [7]

Answer:

The end of the flagpole is 50.79 ft away from the base of the pole.

Step-by-step explanation:

The problem is represented by the diagram below.

The broken flagpole forms the shape of a right angled triangle. We need to find one of the sides of the triangle, the adjacent (x).

The hypotenuse is the broken part of the flagpole (53 ft), while the opposite is the part of the flagpole that is still stuck to the ground (28 ft).

Using Pythagoras theorem, we have that:

hyp^2 = adj^2 + opp^2

=> 53^2 = x^2 + 28^2

3364 = x^2 + 784\\\\=> x^2 = 3364 - 784\\\\x^2 = 2580\\\\x = \sqrt{2580}\\ \\x = 50.79 ft

The end of the flagpole is 50.79 ft away from the base of the pole.

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3 years ago
A work shift for an employee at a restaurant consist of 10 hours. What fraction of employees work shift is represented by 8 hour
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Answer:

4/5

Step-by-step explanation:

10:100=8:x

x= 100*8/10

x= 80   (80%)

80% = 80/100 = 8/10 = 4/5

4 0
3 years ago
Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
If Sandy's cookie recipe calls for 1/3 cup of brown sugar and she increases it to 2/9, how much brown sugar does she use?
expeople1 [14]
If you divide 9/2 you receive 4.5. Tho when you divide 1/3 you get .33333 (repeated), so now you know that both the fractions do not correlate. Now the 'multiples' of 1/3 are 2/ 6, 3/9, 4/12, 5/15, 6/18, 7/21 and so on. If you do the 'multiples' of 2/9 you get 4/18, 6/27. The common factors are 4/18 and 6/18. So know you know that Sandy is using 2/18 (or 1/9) cups more of sugar.
6 0
3 years ago
Read 2 more answers
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