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rodikova [14]
3 years ago
5

San Antonio, Texas, is located about 30º north of the equator. If the radius of the Earth is about 3959 miles, how far to the ne

arest mile is San Antonio from the equator?
Mathematics
1 answer:
Molodets [167]3 years ago
5 0
Answer: 2,073

Explanation:


1) Circumference of the Earth:

Circumference = 2π x radius

⇒ Circumference = 2π × 3959 miles = 24,875.13 miles

2) Distance between San Antonio and the Equator.

Note that that distance corresponds to the arc length of a sector of 30°.

That let's you to set the proportion:

\frac{24875.13}{360} = \frac{x}{30}

From which you can clear the unknown:

x = 30 × 24,875.13 / 360 = 2,072.93

Which rounded to the neares mile is 2,073

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y = -1.5x + 9 - 2

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-1.5x - y + 7 = 0 is the point slope form.

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Using the combination formula, it is found that the number of ways to choose the presenters is given by:

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The order in which the presents are chosen is not important, hence the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

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In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:

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#SPJ1

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