The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. how far does the tip of the minute hand move? express your answer in terms of pi and then round to 2 decimal places.

12.56 inches

Step-by-step explanation: First, when know the following:

A clock is a circle, so the total movement, from 12 to 12 is 360° or 2π.

It is also know that a circle circunference (The total size of the circle on a straight line) is 2π * Radius

The minute hand does a circle on its travel, that circle radius is equal to 6 inches.

The movement from 12 to 4 is a third (4/12 = 1/3). Knowing this:

120° = (1/3) * 360° = (1/3) * 2π = (2/3) * π

So the travel from 12 to 4 is (2/3)π

To know the distance on inches, we multiply the distance on radians per the radius.

Total distance = 6 * (2/3)π

Total distance = 4π inches

Total distance = 12.56 inches

d (5 x (-20)) * (100 x (0.7))

step-by-step explanation:

5÷1/100 * -.7 *-20

copy dot flip

5*100 * -.7 *-20

rearrange

5*-20   * 100 *-.7

-100   *-70

7000

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)