How do you simplify the ratio $12:$16
1 answer:
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Answer:
Step-by-step explanation:
Area = pi*r^2
Area = pi*9^2
Area =
Area of backyard is not being used 7792 square feet.
Solution:
Length of the backyard = 181 ft
Width of the backyard = 48 ft
Area of the backyard = length × width
= 181 × 48
Area of the backyard = 8688 square feet
Base of the triangle = 16 ft
Height of the triangle = 28 ft
Area of the triangle =
Area of the triangle = 224 square feet
Length of the rectangle = 32 ft
Width of the rectangle = 21 ft
Area of the rectangular vegetable garden = length × width
= 32 × 21
Area of the rectangular vegetable garden = 672 square feet
Area of backyard not used
= Area of backyard – Area of the triangle + Area of the rectangle
= 8688 – 224 – 672
= 7792 square feet
Area of backyard is not being used 7792 square feet.
Note that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y).
Therefore by setting x = π/2 and y = π/7, obtain
sin(π/2 + π/7) = sin(π/2)*cos(π/7) + cos(π/2)*sin(π/7)
The right side is what we want to evaluate. It is equal to
sin(π/2 + π/7) = sin (9/14)π
Answer:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y).
Therefore by setting x = π/2 and y = π/7, obtain
sin(π/2 + π/7) = sin(π/2)*cos(π/7) + cos(π/2)*sin(π/7)
The right side is what we want to evaluate. It is equal to
sin(π/2 + π/7) = sin (9/14)π
Answer: