Walking at a speed of 3 mph, Jack gets to school in 10 minutes and arrives at school right before the class starts. Today Jack needs to be at school 4 minutes earlier. How fast does Jack need to run this morning?

Jack needs to run at a speed of 1/12 mph

Step-by-step explanation:

Mathematically;

speed = distance/ time

Distance = speed * time

10 minutes = 10/60 h = 1/6 hours

The distance to the school will be

Distance = 3 * 1/6 = 1/2 = 0.5 miles

Now, he needs to be at school 4 minutes earlier, time will now be 10 - 4 = 6 minutes

To get the speed here;

Recall that the distance from above does not change

So speed = 0.5/6 mph 0r 1/12 mph

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

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,