Awheel 15 inches in diameter is spun around 4 full turns. what distance, to the nearest inch, did a mark on the edge of the wheel travel in those four turns ? explain how you figured out your answer

If the wheel has a diameter of 15 inches, its radius is half that, or 7.5 inches then.

a full turn, or a full cycle around the wheel, namely around the circle is 360° or 2π radians.

now, in one turn or cycle, it covered an angle of 2π, in 2 cycles it covered 2(2π), in 3 it did 3(2π) and in 4 of course 4(2π).

so, what is the arc's length, whose radius is 7.5 and its central angle is 8π?

well you already know that s = rθ, therefore then, s = (7.5) (8π).

C=π*d so the distance the mark travels in 1 revolution is 15*π. for 4 revolutions we get 60π and this is approx 189 inches

You need to include the original coordinates of the triangle to answer this. and how much does it translate (move left right up down)

Yuh yeet honestly idk