20 points! how many rotations does each tire make after traveling 600 feet? round your answers to the nearest whole number. the small tire would make about how many rotations? the large tire would make about how many rotations. small tire radius = 9in. the big tire radius = 30in.

Small tire, 9in > 127 rotations

Big tire, 30in > 38 rotations

Step-by-step explanation:

First, we convert the values of feet to inches

600 feet = 7200 in

Each rotation of a tire is equivalent to a traveled distance equal to the perimeter

P = 2*pi*radius

This means that if we divide the traveled distance by the perimeter of each tire, we can find out the number of rotations.

Small tire, 9in

7200 in / 2*pi*9in  = 127 rotations

Big tire, 30in

7200 in / 2*pi*30in  = 38 rotations

y= -

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen