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Nastasia [14]
3 years ago
9

Simplify the given expression below:

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0
The answer would be C. 12+8i/13
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2 years ago
Find the area of the shaded region.
Anvisha [2.4K]

Answer:

73.4 cm^2

Step-by-step explanation:

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

Solve :

Area of sector = (50/9)π

Now, find the area of the triangle:

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Substitute the values in:

1/2(5)(5) x sin(80) = 12.31009691

Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

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