Answer:
2 cubic yards
Step-by-step explanation:
In this problem we are simply finding the volume of a 3D shape. We can calculate this by L × W × H.
9.5 × 12 × 1/3 = 48 ft³
(Note: 4 inches is 1/3 foot)
This means Rosilaine needs 48 cubic feet of wood chips. However, the wood chips are sold in yards, so we need to convert cubic feet to cubic yards.
48 ÷ 27 = 1.777 (repeating decimal)
This means Rosilaine should buy 2 cubic yards of wood chips.
We need to solve this system
<span>(3x + 2y = 36.50) *5
(2x + 5y = 50.00) *(-2)
15x+10y= 182.5
-4x -10y= -100
11x=82.5
x= 7.50 at the library
</span>2x + 5y = 50.00
<span>2*7.5+5y=50
15+5y=50
5y=35
y=7 at coffee cart
So,
correct answer is
</span><span>C.Percy earns a greater hourly wage of $7.50 at the library.</span><span>
</span>
Answer:
Area shaded portion = 16/3 π - 8√3
Step-by-step explanation:
The shaded portion consists of 2 equal segment
∵ Two circles have the same radii = 4
∵ The the length of the common chord of the two circles = 4
∴ The central angle of each segment = π/3 (60° equilateral Δ)
∵ Area segment = area sector - area Δ
∵ Area sector = 1/2 r²Ф = 1/2 × (4)² × π/3 = 8/3 π
∵ Area Δ = 1/4 s² √3 = 1/4 × (4)² × √3 = 4√3
∴ Area segment = 8/3 π - 4√3
∴ Area shaded portion = 2(8/3 π - 4√3) = 16/3 π - 8√3
