Answer:
Hydrostatic Force = 35.28KN
Step-by-step explanation:
To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.
Formula for a thin horizontal slice of the triangle the force is;
δF=ρgxwδx
Where w is width of triangle; ρ is density of water and g is acceleration due to gravity
At depth x, the width of the triangle is w=2/3x.
Thus, F = (3,0)∫)ρgxwδx
=(2/3)ρg[(3,0)∫)x²δx]
= integrating, we have;
F = (2/3)ρg[(3³/3) - (0³/3)]
F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN
It’s a positive number, it’s exactly the same distance from zero as the negative number he picked
3x+2≤5(x-4)
distribute 5
3x+2≤5x-20
minus 3x both sides
2≤2x-20
add 20 both sides
22≤2x
divide by 2
11≤x
x≥11
These 2 terms cannot be simplified any further, but if you are looking to factor the expression, that would be -x(x+9)
