One hose can fill a goldfish pond in 36 minutes, and two hoses can fill the same pond in 20 minutes. find how long it takes the second hose alone to fill the pond.

The time taken by the second hose alone to fill the pond is 45 minutes.

Step-by-step explanation:

One hose can fill a goldfish pond in 36 minutes.

Let second hose can fill the pond alone in x minutes.

The part of goldfish pond filled by one hose in 1 minute is .

The part of goldfish pond filled by second hose in 1 minute is .

Two hoses can fill the same pond in 20 minutes.

The part of goldfish pond filled by both hose in 1 minute is .

Therefore, the time taken by the second hose alone to fill the pond is 45 minutes.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

-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