A regular polygon has interior angles of 160°, how many sides does it have? How many sides

1 answer:

4 0

Answer: 18 sides

Solution:
Formula for calculating no. of sides of regular polygon:-

180 x n-2/n = interior angle

180 x n-2/n = 160

18 x n-2/n = 16

9 x n-2/n = 8

9n - 18 = 8n

n = 18
_______________

I hope this helps! :D

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∫c<br> x sin y ds, C is the line segment from (0, 1) to (3, 5)

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Parameterize the line segment $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle$

where $t\in[0,1]$ . Then

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt$
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So the integral is

$\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt$
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