Angle of fire in degrees: 90° + 30° = 120°
Angle of fire in radians: 180° = π
120° * π/180° = 120°π / 180° OR 4π/6 OR 2π/3
Y = 2/3x + 3 is the answer
Inessa = X
Ralph = Y
By the given ratio X/Y = 5/6
Solve for X: X = 5/6 * Y
Now Inessa gives 1/2 of hers to Ralph, which then totals 850"
Y + 1/2X = 850
Replace x :
Y + 1/2 * 5/6 * Y = 850
SImplify:
Y + 5/12Y = 850
Multiply both sides by 12 to remove the fraction:
12Y + 5Y = 10200
Simplify:
17Y = 10200
Divide both sides by 17:
y = 10200 / 17
y = 600
Ralph originally had 600 plants.
1800 ft² = 3 pounds
[divide by 3 through]
1800 ÷ 3 = 3 ÷ 3
600ft² = 1 pound
[8400 ÷ 600 = 14; so multiply by 14 through]
600 x 14 = 1 x 14
8400ft² = 14 pounds
we need 14 pounds to cover 8400 square feet.
[Find number of 4 pounds bags needed]
14 ÷ 4 = 3.5
So we need to use 4 bags of 14 pounds of lawn seeds.