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Alik [6]
3 years ago
11

Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would

be the radius of Star Wars land?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

56656.04 = \pi {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{56656.04}{\pi}

Find the square root of both sides

r =  \sqrt{ \frac{56656.04}{\pi} }

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

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vaieri [72.5K]

Answer:

The given series converges and \lim_{n \to \infty} a_n =0

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

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2. If the last term (n-th term) of series converges to 0.

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First term, a = 108

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Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

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Hence, the given series converges.

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3 years ago
A 13-ft ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7-ft less than the distanc
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Answer:

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