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DerKrebs [107]
2 years ago
13

3. The figure below is a composite shape that consists of a semicircle and an equilateral triangle (triangle

Mathematics
1 answer:
Ivenika [448]2 years ago
8 0

Answer:

See explanation below

Step-by-step explanation:

Area = Area of triangle + Area of the semi circle

Area of triangle = 1/2bh

Area of triangle = 1/2 *(5/2)(4)

Area of triangle = 1/2(2.5)*4

Area of triangle = 2 * 2.5

Area of triangle = 5cm^2

Area of semicircle = πr²/2

r = 2.5cm

Area of semicircle =(3.14)(2.5)²/2

Area of semicircle = = 3.14 * 4.5

Area of semicircle = 9.8125cm^2

Area pf the figure = 5+9.8125

Area pf the figure = 14.8125cm^2

For the perimeter

Perimeter of the semicircle = 2πr

Perimeter of the semicircle = 2(3.14)(2.5)

Perimeter of the semicircle = 15.7cm

Perimeter of the semicircle = = 15.7 + 5 + 5

Perimeter of the semicircle = 25.7cm

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Answer:

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Step-by-step explanation:

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That's

34 =  \frac{4}{3} \pi {r}^{3}  \\  \\ 34 \times 3 = 4\pi {r}^{3}  \\  \\ 102 = 4\pi {r}^{3}  \\  {r}^{3}   = \frac{102}{4} \pi \\  \\ r =  \sqrt[3]{ \frac{51}{2\pi}}  \\  \\ r = 2.01 \\  \\ r = 2.0 cm

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