The spinner is a circle and the three sectors are congruent with means that each sector has the same area. The formula for the area of a sector is\
A = (1/2) r² θ
We are given with
r = 3 in
θ = 120°
Converting degrees to radians
θ = 120° (π/180°)
θ = 2π/3
Solving for the area
A = (1/2) (3)² (2π/3)
A = 3π ≈ 9.24 in²
Anser is 111.1
To find The perimeter you just add all the sides together 10.9+10.9+40.3+40.3 equals 111.1
Answer: k = -10
Step-by-step explanation:
-4 = k + 6
-4 - 6 = k
-10 = k
Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector