3(2x+8)=0
Simplify both sides of the equation.
3(2x+8)=0
(3)(2x)+(3)(8)=0(Distribute)
6x+24=0
Subtract 24 from both sides.
6x+24−24=0−24
6x=−24
Divide both sides by 6.
6x/6 = −24/6
x=−4
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
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Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
Number of red cars = x
Number of white cars = y
x + y = 75
y + 3 = 2x
x + y = 75
y = 75 - x
(75 - x) + 3 = 2x
78 = 3x
26 = x
y + 3 = 2(26)
y + 3 = 52
y = 49
There are 49 white cars.
