Answer:
1/12
Step-by-step explanation:
1/3 x1/4=1/12
First picture:
2 and 7 are alternate exterior angles, which when added together need to equal 180 degrees.
Angle 7 = 180 - 146 = 34
Answer is B.34
Second picture:
Angle 8 = 48
Angle 8 + angle 7 = 180
Angle 7 = 180 - 49 = 131
Angle 5 and angle 7 are vertical angle, so angle 5 = angle 7 = 131
Angle 6 is a vertical angle to angle 8 so = 49
Angle 1 = angle 5 = 131
Angle 2 = angle 6 = 49
Angle 3 = angle 7 = 131
Angle 4 = angle 8 = 49
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Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)