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Valentin [98]
3 years ago
15

How to find number of sides in a regular polygon based on the 900 degree measure of all interior angles?

Mathematics
1 answer:
Lerok [7]3 years ago
8 0
<span>Sum of Interior Angles = (Number of Sides -2) • 180 degrees
900 = </span><span>(Number of Sides -2) • 180 degrees
900 / 180 = </span><span>Number of Sides -2
5 = </span><span>Number of Sides -2
</span><span>Number of Sides = 7
Polygon is a heptagon.
http://www.1728.org/polygon.htm

</span>
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A city has a population of 310,000 people. Suppose that each year the population grows by 9%. What will the population be after
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Answer: 644,800

Step-by-step explanation:

This can also be solved using the terms of Arithmetic Progressions.

Let the 13 years be number of terms of the sequences (n)

Therefore ;

T₁₃              = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000

9% of 310,000 = 9/100 x 310,000

                        = 27,900

so the common difference (d)

                     d = 27,900

Now substitute for the values  in the formula above and calculate

T₁₃              = 310,000 + ( 13 - 1 ) x 27,900

                  = 310,000 + 12 x 27,900

                  = 310,000 + 334,800

                  = 644,800.

The population after 13 years = 644,800.

 

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