The average rate of the first part of yi’s walk on a park loop was 4 miles per hour. she then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. the entire 3-mile walk took yi 42 minutes (0.7 hour). which equation can be used to solve for x, the time in hours that yi spent walking before meeting her friend? x = 0.7 – x x + (0.7 – x) = 1 4x + 5(0.7 – x) = 1 4x + 5(0.7 – x) = 3

Total distance covered = 3 miles.

First part walked at the rate 4 miles per hour.

Let us assume x hours was walked in first part.

Total distance covered in x hours at the rate 4 miles per hour = 4x.

Second walk rate with meet with friend = 5 miles per hour.

Total time taken = 0.7 hours.

Therefore, time taken in second walk only = (0.7 - x) hours.

Distance covered in second walk = 5 (0.7 - x).

Total distance covered = distance covered in first part + distance covered in second part.

4x + 5 (0.7 - x) = 3 miles.

step-by-step explanation:

see if this :

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,