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mixas84 [53]
2 years ago
12

Someone help me pleaseeee

Mathematics
1 answer:
motikmotik2 years ago
3 0

Answer:

3,943.84

Step-by-step explanation:

Since we know the angle of the arc is 70°, its length will be 7/36 of the whole circumference. The circumference, which is 2*pi*r, is 20 pi = 62.8, so the arc JL is 7/36 * 62.8 = 3,943.84

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The figure consists of three objects, a rectangle, a trapezoid, a triangle

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a₁ = l × w
a₁ = 16 × 9
a₁ = 144 in²

Find the area of the trapezoid
The base of trapezoid is 31 in and 16 in, and the height is 35 - 20 = 15 in.
a₂ = 1/2 × (a + b) × h
a₂ = 1/2 × (31 + 16) × 15
a₂ = 1/2 × 47 × 15
a₂ = 352.5 in²

Find the area of the triangle
The base of the triangle is 31 in, the height is 20 in
a₃ = 1/2 × b × h
a₃ = 1/2 × 31 × 20
a₃ = 310 in²

Add the area together
a = a₁ + a₂ + a₃
a = 144 + 352.5 + 310
a = 806.5

The answer is 806.5 in²
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