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Arlecino [84]
2 years ago
12

Find the distance along an arc on the surface of the earth that subtends a central angle of 6 minutes (1 minute = 1/60 degree).

The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places)
Mathematics
1 answer:
bazaltina [42]2 years ago
3 0

Answer:

6.914miles (to 3 decimal places)

Step-by-step explanation:

Length of an arc = θ/360 *2πr

angle subtended by arc at the center of the earth = 6 minutes

1 minute =1/60 degree

6 minute= 6/60 degree =0.1°

θ=0.1°

radius of earth = 3960 miles

distance along the arc = \frac{0.1}{360}*2\pi  *3960

    =6.9142857143miles

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Answer: Tom

Step-by-step explanation:

Tom did 1/3 of 30= 10 out of 30

Steven did 3/10 of 30= 9 out of 30

Juan did 20/100 of 30= 6 out of 30

Marcus did 8 out of 30

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3 years ago
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Neporo4naja [7]
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3 years ago
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dimulka [17.4K]
Asssuming you mean

evaluate 10+20log_4(3+1)

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4 0
3 years ago
3. Are these ratios equivalent? 35:28 and 10:8 *
attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

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10:8

\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

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9 months ago
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