Atire at the top of a hill starts rolling down the hill. if the diameter of the tire is 36 inches, how many inches has the tire rolled if it has rotated exactly 10 times down the hill? a) 180 b) 360 c) 36π d) 360π

Therefore ,(D)  360π inches.

Step-by-step explanation:

Given: A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches.

To find: How many inches has the tire rolled if it has rotated exactly 10 times down the hill.

Solution : We have given that diameter of tire = 36 inches.

 Radius =

  Radius =

 Radius = 18 inches.

Circumference of tire = 2 * π radius

Circumference of tire = 2 *  π 18

                                    = 36π

We need to  rolled the tire 10 times down the hill

then,  10 * 36π = 360π inches.

Therefore ,(D)  360π inches.

answer: 7270

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1