Answer:
The force pulling down the ramp is 374.6 lb
The force pressing on a line perpendicular to the ramp is 927.1 lb
Step-by-step explanation:
Given;
weight of boat (mg) , w = 1000 lb
angle of inclination of the ramp, θ = 22 degrees.
The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp
Parallel component of the force, F = mgsinθ
F = wsinθ
F = 1000 sin(22)
F = 1000 x 0.3746
F = 374.6 lb
Vertical component of the force which is force pressing on a line perpendicular to the ramp.
F = mgCosθ
F = wCosθ
F = 1000 x Cos(22)
F = 1000 x 0.9271
F = 927.1 lb
Answer:
0.4032
Step-by-step explanation:
1. We assume, that the number <em>72 is 100%</em> - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If <em>72 is 100%</em>, so we can write it down as <em>72=100%</em>.
4. We know, that x is <em>0.56%</em> of the output value, so we can write it down as <em>x=0.56%</em>.
5. Now we have two simple equations:
1) <em>72=100%</em>
2) <em>x=0.56%</em>
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
<em>72/x=100%/0.56%</em>
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
Answer:
$162.75
Step-by-step explanation:
8.5% = 0.085
12.75 / 0.085 = 150 (price before tax)
150 + 12.75 = 162.75
<span>1 x 42, 2 x 21, 3 x 14, or 6 x 7</span>
Answer:
big
Step-by-step explanation:
2