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lesya [120]
3 years ago
5

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 29 feet. There will be a fence around the g

arden. The fencing costs $7.25 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.
Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

The fencing will cost $330.09

Step-by-step explanation:

First we have to calculate the perimeter of the semicircle for that we use the following formula:

d = diameter = 29ft

s = semicircle

π = 3.14

s = d * 1/2 * π

we replace the values that ​​we know

s = 29ft * 1/2 * 3.14

s = 45.53ft

Now we multiply the number of feet by the price of what comes out 1 foot of fence

45.53 * $7.25 = 330.0925

Round to the nearest hundredth

$330.0925 = $330.09

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The result of the division of polynomial <em>3.23 + 8x2 + 9x + 10</em> by <em>x + 2</em> is; 3x² + 2x +5

<h3>Long division of polynomials</h3>

According to the question given;

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By observation of the procedures in the attached image, we may conclude that the expressions (x+2) and (3x² + 2x +5) are factors of; 3x³ + 8x2 + 9x + 10

Learn more on polynomials division;

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sergiy2304 [10]

By de Moivre's theorem,

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k = 2 \implies \sqrt[4]{2}\,e^{i7\pi/8}

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or more simply

\boxed{\pm\sqrt[4]{2}\,e^{-i\pi/8} \text{ and } \pm\sqrt[4]{2}\,e^{i3\pi/8}}

We can go on to put these in rectangular form. Recall

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and the roots are equivalently

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