Two fishing boats leave a marina at the same time. One boat travels north at a speed of 12 miles per hour. The other boat heads east at a speed of 9 miles per hour. Approximately how far apart are the two boats 15 minutes after they leave the marina?

d = 4.59 miles

Step-by-step explanation:

Distance Between Two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

The fishing boats leave the marina in perpendicular directions. The first boat travels north at v=12 mph for t=15 minutes. Converting to hours t=15/60=0.25 hours.

The distance covered by this boat is

d1 = 12*0.25 = 4 miles

The boat ends up at the point (0,4).

The second boat travels east at v=9  mph for the same time t=0.25 hours. The distance is:

d2= 9*0.25 = 2.25 miles

This boat ends up at the point (2.25,0)

The distance between them is

Calculating the square root:

d = 4.59 miles

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw