Answer:
1 gallon of paint will paint 400 ft² of the wall
Unit rate = 400 ft² per gallon
Step-by-step explanation:
From the graph, when 1 gallon of paint was used, (x = 1), an area of 400 ft² of the wall was painted (y = 400).
Unit rate = y/x. That is, the amount of square feet of wall that would be painted using 1 gallon of paint.
Unit rate = 400 ft²/1 gallon = 400 ft²/gallon.
Answer:
x = 2.8
y = 2
Step-by-step explanation:
Reference angle = 45°
Opposite = 2
Hypotenuse = x
Adjacent = y
✔️To find x, apply the trigonometric function SOH:
Sin 45 = Opp/Hyp
Sin 45 = 2/x
x*Sin 45 = 2
x = 2/Sin 45
x = 2.82842712 ≈ 2.8 (nearest tenth)
✔️To find y, apply the trigonometric function TOA:
Tan 45 = Opp/Adj
Tan 45 = 2/y
y*Tan 45 = 2
y = 2/Tan 45
y = 2
The number of gallons that will make 12% alcohol is 9*3000 (15*12)= 150 gallons