If 2 pipes are both open, they can fill a pool in 1 hour and 12 minutes. one of the pipes can fill the pool by itself in 2 hours. how long would it take the other pipe to fill the pool by itself?

Given both pipes can fill the pool in 1 h 12 mins = 72 mins

Given one pipe can fill the pool in 2 h = 120 mins

Let the other pipe fill the pool in x mins

Pipe 1:

120 mins = 1 pool

1 min = 1/120 pool

Pipe 2:

x mins = 1 pool

1 min = 1/x pool

Both pipes need 72 mins to fill up the pool:

72 (1/x + 1/120) = 1

72(x+ 120)/120x = 1

72x + 8640 = 120x

120x - 72x = 8640

48x = 8640

x = 180 mins = 3 hours

It takes 3 hours for the other pipe to fill the pool.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.