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Vaselesa [24]
3 years ago
5

Find the area of a compound shape Can you please explain

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

A=292.53~m^2

Step-by-step explanation:

<u>Area of a Compound Shape</u>

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

A_c = \pi r^2

The area of a triangle of base b and height h is:

\displaystyle A_t=\frac{b.h}{2}

Calculate the area of the circle:

A_c = \pi 8^2

A_c = 64\pi

Area of half the circle:

A_c/2 = 32\pi~m^2

Area of the triangle:

\displaystyle A_t=\frac{24\cdot 16}{2}

A_t=192~m^2

The area of the shaded shape is:

A=32\pi~m^2+192~m^2

Substituting the value of pi:

\mathbf{A=292.53~m^2}

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Simply the following 5 1/3 -7 5/6 + 6 1/4
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Answer:

3 \frac{3}{4}\\  /  3.75

Step-by-step explanation:

Step 1: Make all the mixed numbers, improper fractions:

5 \frac{1}{3} = \frac{16}{3}

7\frac{5}{6} = \frac{47}{6}

6\frac{1}{4} =\frac{25}{4}

In order to add/subtract fractions, they must all have a common denominator, the smallest common denominator for all these fractions is 12. And so in order to make 12 the denominator, we must now multiply all the fractions by their multiple.

\frac{16}{3} = \frac{64}{12}

\frac{47}{6} = \frac{94}{12}

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Time to solve:

\frac{64}{12} -\frac{94}{12} + \frac{75}{12}  =

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Simplify:

\frac{45}{12} = \frac{15}{4}

Convert to a mixed number:

3 \frac{3}{4}

Hope this helps!

8 0
3 years ago
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Answer: $8

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4 years ago
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