223,200,000 should be correct
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
Where’s the picture. Please show it
You would begin by choosing which trigonometric function to use.
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =

(multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore
x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)
Answer: 4/3
Step-by-step explanation:
First off, we should all get the denominators to be the same.
14 is the LCM of each of the denominators, so:
3x / 7 times 2/2 = 6x/14
-1/2 times 7/7 = -7/14
and 1/14 is 1/14
So now we have
6x/7 + -7/14 = 1/14
We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:
6x - 7 = 1
Then we just solve like a normal equation:
6x = 8
x = 8/6 , or 4/3