A regular polygon has an exterior angle of 18 degrees how many sides does it have

Mathematics

1 answer:

Ne4ueva [31]3 years ago

8 0

20 because for all regular polygons their exterior angles add up to 360, so 360\18 =20

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Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0

2 years ago

Read 2 more answers

the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface

AURORKA [14]

I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2 $\pi$ r²

The diameter is the sum of 2 radii, hence r=8

D=12
= 2r =12
r=8

With the raduis the area can be found
A= 2 $\pi$ r²
A=2 $\pi$ 8²
A=2(64) $\pi$
A=128 $\pi$

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 $\pi$ /10.99
cost/inch =11.64 $\pi$
= 11.64(3.14)
= 36.57

The pie costs 36 cents per square inch

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3 years ago

Help!!! Find the center and radius of the circle with the equation (x-4)²+(y+6)²=16

WITCHER [35]

Answer:

Center: $(4,-6)$