The correct answer is 14.2 lb which is choice D.
Let:
F = minimum force required to prevent ball from rolling down the ramp
The formula will be:
F = w * sin theta
F = w * sin (39 degrees)
F = 22.6 * sin (39)
= 14.2 lb (this is rounded to the nearest tenth)
Answer:
158.4 pounds
Step-by-step explanation:
first find the volume of the tank


to convert this to m^3 we know that 1m = 100cm


the cm^3 cancel out.


by simply converting the side-lengths to meters beforehand can give you this answer directly:

it is given that 1 meter cube of water weighs about 2200 pounds.

multiply both sides with 0.072 to find our answer:


hence the weight of the water in the tank would be 158.4 pounds!
<h3>Answer:</h3>
(x, y) ≈ (1.49021612010, 1.22074408461)
<h3>Explanation:</h3>
This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.
_____
Setting the y-values equal and squaring both sides of the equation gives ...
... √x = x² -1
... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides
... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.
By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.
The greatest common factor is 2b
it is yes, then no, then yes.