Answer:
x=8/9
Step-by-step explanation:
5x+2(x-3)=-2(x-1)
1) Distribute 2 to x and -3:
5x+2x-6=-2(x-1)
2) Distribute -2 to x and -1:
5x+2x-6=-2x+2
3) Combine alike terms:
7x-6=-2x+2
4) Add 2x to both sides:
9x-6=2
5) Add 6 to both sides:
9x=8
6) Divide both sides by 9:
x=8/9
So we know the tank already has 5 gallons and we need 9. This means we need 4 more gallons in order to fill up the tank.
If 1/4 gallon is being filled per minute we need to find out how many 1/4 gallons makes up 4 gallons in total.
4 of the 1/4 gallons makes up 1 whole gallon. So since we need 4 whole gallons we would need 16 of the 1/4 gallons.
This means that it will take 16 minutes for the tank to hold 9 gallons of water.
The width is11ft
hope that helps
The answer is Hx = ½ Wsin θ cos θ
The explanation for this is:
Analyzing the torques on the bar, with the hinge at the axis of rotation, the formula would be: ∑T = LT – (L/2 sin θ) W = 0
So, T = 1/2 W sin θ. Analyzing the force on the bar, we have: ∑fx = Hx – T cos θ = 0Then put T into the equation, we get:∑T = LT – (L/2 sin θ) W = 0
