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
Answer:
(x+11)(x-2)
Step-by-step explanation:
To factorise: x^2+9x-22
You must first divide the centre term in such a way that the sum of the 2 values will be divisible by x squared and minus 22 respectively.
So x^2+9x-22 = x^2 -2x + 11x - 22.
Now factorize x^2 - 2x and 11x-22 individually.
x^2 - 2x = x(x-2)
11x - 22 = 11(x-2)
Since these both have the same value in the brackets, use 5at one of the brackets and the other is the combination of them together:
(x+11)(x-2)
Hope this helps
Answer:
(a) t = 7 sec approximately; (b) t = 6 sec
Step-by-step explanation:
(a) Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:
16(t-3)^2 = 288
After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.
Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds
(b) Solve h(t)= -16(t-3)^2 + 288 = 150:
-16(t-3)^2 = - 162
or (t - 3)^2 = 10.125, or
t - 3 = ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)
So,
First, we will find the surface area of the garden in feet.
(70)(45) = 3150 square ft.
Next, to find the surface area of the garden inches, we need to recall the conversion rate between feet and inches.
1 ft. = 12 in.
So, multiply 3150 by 12.
(3150)(12) = 37,800 square in.
To find the surface area of the garden in yards, we need to recall the conversion rate between yards and feet.
1 yd. = 3 ft.
So, divide 3150 by 3.
Area of the garden in inches: 37,800 square in.
Area of the garden in feet: 3150 square ft.
Area of the garden in yards: 1050 square yd.