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MariettaO [177]
3 years ago
8

6 feet 12 feet What is the area of the given composite shape?

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:

choice A; 128.52 square feet

Step-by-step explanation:

This shape is made up of a semi-circle and a rectangle. The area of the rectangle will be 12*6 = 72 sq ft.

The formula for area of a circle is \pi*r^{2}. also r=radius. We are given the diameter, 12 feet. The radius is diameter/2, so the radius of the circle will be 6 feet.

Since pi is infinite we round it to 3.14.

Plug in the values and our expression will be (3.14*6^{2})/2 because it is a semi-circle. Simplify that to (3.14*36)/2 = 113.04/2 = 56.52 sq ft.

Remember to add the area of the rectangle and semi-circle. 72 + 56.52 = 128.52 sq ft.

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In a random sample of 70 people, it was found that 44 of them were fans of the New York Yankees. What is the margin of error for
Veronika [31]
The general formula for the margin of error would be:

z * √[p (1-p) ÷ n]

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</span>
p = 44/70
n = 70

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4 years ago
Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is
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Plzzz HELP will give brainliest 9^-53*9^37
slamgirl [31]

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3 years ago
Identify the values of the variables. Give your answers in the simplest radical form.
Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

sin(60) = \frac{9}{k}

Multiply both sides by k

k*sin(60) = 9

Divide both sides by sin(60)

k = \frac{9}{sin(60)}

k = \frac{9}{\frac{\sqrt{3}}{2}}

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k = \frac{18}{\sqrt{3}}

Rationalize

k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{18\sqrt{3}}{3}

k = 6\sqrt{3}

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

tan(60) = \frac{9}{f}

Multiply both sides by f

f*tan(60) = 9

Divide both sides by tan(60)

f = \frac{9}{tan(60)}

k = \frac{9}{\sqrt{3}}

Rationalize

k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{9\sqrt{3}}{3}

k = 3\sqrt{3}

8 0
3 years ago
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