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Radda [10]
3 years ago
12

Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

C. 5.2 cm

Step-by-step explanation:

Arc length formula:

s = \dfrac{n}{360^\circ} 2 \pi r

where s = arc length

n = central angle of arc

r = radius of circle

diamter = d = 10 cm

r = d/2 = 10 cm/2 = 5 cm

n = 60 deg

s = \dfrac{n}{360^\circ} 2 \pi r

s = \dfrac{60^\circ}{360^\circ} 2 \times 3.14159 \times 5 ~cm

s = 5.2~cm

Answer: 5.2 cm

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Minchanka [31]

Answer:

0.74

Step-by-step explanation:

5 0
2 years ago
A bag contains three red marbles and two blue marbles. Marcus reaches in and pulls out a marble, replaces it, but then reaches i
Svetradugi [14.3K]

Answer:

your answer would be \frac{1}{5}

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5 0
3 years ago
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
3 ( 2m - 1 ) - 5m ≤ -1 Please help
Rudiy27

3 ( 2m - 1 ) - 5m ≤ -1

6m-3-5m≤ -1

m-3≤ -1

m ≤ 2

6 0
3 years ago
Read 2 more answers
Evaluate 3/7 r + 5/8 s when r is 14 and s is 8
forsale [732]

Answer:

11

Step-by-step explanation:

Making the appropriate substitutions, we get

3/7 r + 5/8 s  =>  3/7 (14) + 5/8 (8).

Notice how this can reduced:

                             3(14)            5(8)

                           ----------- +     ---------   =   6 + 5 = 11

                                  7                8

6 0
3 years ago
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