“Express each of the following numbers using scientific notation “
1 answer:
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<em><u>Complete Question:</u></em>
The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?
<em><u>Answer:</u></em>
The numerator of fraction is -360
<em><u>Solution:</u></em>
Given that,
<em><u>The equation represents the angle measures, a, in a regular n-sided polygon is:</u></em>
We have to solve the equation for "n"
Rearrange the equation
Thus the numerator of the fraction is -360
The sum of the convergent series is 5.31
For given question,
We have been given a series
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is
So, the sum is,
=
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]
=
=
=
= 5.31
Therefore, the sum of the convergent series is 5.31
Learn more about the convergent series here:
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