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Lady_Fox [76]
3 years ago
13

(2-cos^2A)(1+2cot^2A)=(2+Cot^2A)(2-sin^2A)​

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

2 sin (2A) cos (2A)^4 + 2cos (2A)

---------------------------------------------------

                 sin (2A)

Step-by-step explanation:

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A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr
OLga [1]

Height of the pentagon = 9 ft

Edge of base = 3 ft

area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}

s is the length of any side = 3

n is the number of sides = 5

tan is the tangent function calculated in degrees

\\ \\\\area of pentagon = \frac{3^{2}(5)}{4 tan\left ( \frac{180}{5} \right )}\\\\\\area of pentagon = \frac{9(5)}{4 tan\left ( 36 \right )}\\\\area of pentagon = \frac{45}{4  ( 0.7265 )}\\\\area of pentagon = \frac{45}{2.906}\\\\area of pentagon = 15.4852

Volume of the pentagon = area of base (height )

Volume of the pentagon = 15.4852 (9)

Volume of the pentagon = 139.366

Volume of the pentagon = 139.37 cu.ft


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3 years ago
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Step-by-step explanation:

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3 years ago
A shoemaker makes 15,200$ and 912$ in commission (included in 15,200). What is the percent he made in commission to he whole amo
kodGreya [7K]

The total amount of money he only made is calculated by the formula:

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ZanzabumX [31]

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Step-by-step explanation:

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How to solve for a, b,
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It looks like the length of a and b should be the same. You can use the Pythagorean theorem (only works with right triangles):

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a² + (4)² = (5)²

a² + 16 = 25

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a and b have a length of 3

3 0
3 years ago
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