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kompoz [17]
3 years ago
15

Find the area of the shape.

Mathematics
1 answer:
kaheart [24]3 years ago
6 0

Answer:

36*sqrt(3)

Step-by-step explanation:

Remark

Use the Pythagorean theory to find the height. Use that height to find the area of the rectangle and the triangle Or

You can find the area of the trapezoid which requires only 1 step after you find the height.

Height

c = 8

b = 4

a = ?

a^2 + b^2  =  c^2

a^2 + 4^2 = 8^2

a^2 + 16 = 64

a^2 = 64 - 16

a^2 =  48

a^2 =  16 * 3

sqrt(a^2) = sqrt(16*3)

a = 4 * sqrt(3)

That's the height

Trapezoid

b1 = 7

b2 = 7 + 4 = 11

h = 4*sqrt(3)

Area = (b1 + b2)*h / 2

Area = (7 + 11)* 4*sqrt(3)/2

Area = 18 * 2 sqrt(3)

Area = 36* sqrt(3)

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Step-by-step explanation:

or

Step-by-step explanation:

has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

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

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

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