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drek231 [11]
3 years ago
9

The sum of the measures of a regular 25 sided polygon is 4140 degrees. What is the measure of each interior angle?

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer: 165.6

Step-by-step explanation:

The formula for finding the interior angle of a polygon is

= (2n - 4) x right angle

= (2n - 4)90 ,or

(n - 2)180

Now since the sum total of the interior angle of the 25 sided regular polygon = 4140 using the formula above,

Therefore, the value of each of the interior angle will be

= 4140/25

= 165.6

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The polynomial -x^3-x^2+12x represents the volume of a rectangular aqautic tank in cubic feet. the length of the tank is (x+4).
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Step-by-step explanation:

a.

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The 3 dimensions are (x + 4), x, (x + 3).

c.

Let, f(x) = -x^{3} - x^{2} + 12 \timesx

Now, \frac{d  f(x)}{dx} = -3 \timesx^{2} -2 \timesx + 12

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The value will be maximum, if f1(x) = 0 and f2(x) < 0.

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x = 1.69 ≅ 1.7 or x = -2.36 ≅ -2.4

Now f2(1.7) < 0.

At x = 1.7, the volume will be maximum.

d.

The maximum value is f(1.7) = 12.597(approximately)

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