1) Never heard of someone referring to the Law of Levers before, must be showing my age. A system as you describe is at equilibrium when the net torque is equal to zero. Since torque is Fr=mgr so for this system we have a sum of:
27g*10+30g*x=0 The sum must be zero to be at equilibrium, dividing both sides by g you have:
270+30x=0
270=-30x
x=-9
The negative just indicates that the magnitude of 9 is on the opposite side of the fulcrum, so x=9ft in magnitude.
2) Inverse variation is of the form y=k/x, in this case we are given a point so we can solve for the constant, k, of variation...
y=k/x, and we are given y=-12 when x=5 so
-12=k/5
k=-60 so the equation is:
y=-60/x which can be expressed as
xy=-60
Let us first concentrate on the information’s
that are already given in the question. Based on those information’s the answer
to the question can be easily found.
Bill amount for Mr. Johnson before sales tax = $725
Percentage of sales tax taken = 6%
Then
Amount of sales tax = (6/100) * 725
= 4350/100 dollars
= 43.5 dollars
So the amount of sales tax that had to be given is $43.5.
<span>I hope the procedure for doing this
problem is clear to you.
</span>
I cant rly do all the work rn buy if you add them together and set them equal to 180° you’ll get the answer
The product of 4 and -7 implies we multiply these two numbers together. Added to -12 implies we add this product to -12.
Let's do the math...
(4 x -7) + (-12)
-28 + (-12) = -40
