A car passes point $A$ driving at a constant rate of $60$ km per hour. A second car, traveling at a constant rate of $75$ km per hour, passes the same point $A$ a while later and then follows the first car. It catches the first car after traveling a distance of $75$ km past point $A$. How many minutes after the first car passed point $A$ did the second car pass point $A$

Therefore 15 minutes after the first car passed point A, the second car passed point A.

Step-by-step explanation:

Given that, a car passes point A driving at a constant rate of 60 km per hour. A second car, travelling at a constant rate of 75 km per hour, passes the same point A.

Second car catches the first car after travelling a distance 75 km past point A.

So, the first car also travels 75 km past point A before the second car catches it.

We know that,

The first car travels 75 km in   minutes

                                                = 1 hour 15 minutes.

It means that,

The first car passed the point A before 1 hour 15 minutes.

The second car travels 75 km in   minutes

                                                       = 1 hour

The second car passed the point A before 1 hour.

Therefore (1 hour 15 minutes-1 hour) =  15 minutes after the first car passed point A, the second car passed point A.

73.0769230769% of the games were won

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3