Answer:
The angle that the ramp makes with the ground is 11.54°
Step-by-step explanation:
From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.
We can use the fact that the sin(θ) =
to find the angle that the ramp makes with the ground.

The angle is equal to

I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6
you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5
II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7
then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15
3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
8z=-8
z=-1
insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4
insert y into III to calculate x:
x-(-4)=6
x+4=6
x=2
so the solution is
x=2
y=-4
z=-1
Answer:
Um sorry if its wrong but I think its that it gets bigger as you go on.
Step-by-step explanation:
We know that the volume of a sphere of radius r is given by

Now, we have been given the initial volume was 4,188.79 cubic centimeters. Let us find the radius at this time.
Substituting the value of volume in the above equation, we get

Now, the final volume is given by 14,137.167 cubic centimeters. Thus, we have

Now, let us find the surface areas for these two radii.
For 
Surface area is given by

Similarly, for

Therefore, the increase in the surface area is given by

Hence, the average rate at which the surface area is changing is given by

Therefore, the average rate at which the surface area is changing is given by 130.8 square centimeters per second.