2 years ago

a hula hoop measures 14 inches from the center to the outside. what is the distance around the hula hoop?

Mathematics

2 answers:

Eduardwww [97]2 years ago

5 0

Answer:

if by distance around the hula hoop you mean circumference, then -

circumference = 2 pi r

= 2 X 22/7 X 14

= 4 X 22

= 88in

Alina [70]2 years ago

5 0

Answer: 87.92in

Step-by-step explanation:

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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.