Answer:
5/9
Explanation:
First, find a common factor for 30 and 54.
30 and 54 can both be divided by 2.
30 divided by 2 = 15
54 divided by 2 = 27
So, your new fraction is 15/27.
However, don't stop there.
15 and 27 can both be divided by 3 as well.
15 divided by 3 = 5
27 divided by 3 = 9
So, your final answer is 5/9.
I hope this helps! :)
The butterfly takes a vertical perpendicular path equivalent to 9m and travels a horizontal distance of 17m. The net path between the two is equivalent to that of the hypotenuse, so we will apply the Pythagorean theorem.


Therefore the magnitude of the butterfly's displacement is 9m
Explanation:
formula for energy is k. e = ½mv²
m= 9
v= 75
k. e = ½×9×75 =337•5
Answer: 0.04139m
Explanation:
First, we need to calculate the weight of the man which will be:
Weight = mass × acceleration due to gravity
Weight = mg
Weight = 92.5 × 9.8
Weight = 906.5N
Then, we calculate the force which will be:
F = kx
mg = kx
x = mg/k
x = 906.5/21900
x = 0.04139m.
The spring stretched for 0.04139m.
The free-body diagram is missing, but I assume the only forces acting on the box are the force F pushing the box, the weight of the object and the normal reaction of the surface.
Since the weight and the normal reaction acts in the vertical (y) direction, the only force acting on the box in the horizontal (x) direction is the horizontal component of the force F, which is given by

And so this is the net force in the x-direction.