Answer:
67.5 units²
Step-by-step explanation:
We can break this problem down in two parts: The upper triangle and the lower trapezoid.
The upper triangle:
Use the formula 
to compute the area of the triangle. Base = 10 and Height = 7.
1/2 (10)(7)
1/2 (70)
=35 units².
The lower trapezoid:
Use the formula 
to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.
1/2 (10 + 3)(5)
1/2 (13)(5)
1/2 (65)
=32.5 units²
So, add the two areas of each shape:
35 + 32.5 = 67.5 units².
Since 90 degree is 1/4 of a circle, the area will be 1/4 th area of the full circle.
The radius is given by, r = 8 ft, therefore, the area of the full circle is,
Therefore, the area of the sector is,
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Answer:
- 5 (x = 1)
Step-by-step explanation:
When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:
- 1 - 4
- 5
