You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. the basement has the dimensions shown and is flooded to a depth of 16 inches. how long will it take to pump the water out of the basement?

146.82 min

Step-by-step explanation:

Given that,

The two pumps working together would pump out water at a rate of 100 gallons per minute.

Step1

find the area of the basement

Area of basement = (40)(50-22) + (22)(40-24)

                              = (40)(28) + (22)(16)

                              = 1120 + 352

                              = 1472

Step2

find the volume of the basement

16in = 1.33333ft

volume of basement = 1472(1.3333)

                                  = 1962.66176

Step3

time it take to pump the water out of the basement

1ft³ = 7.48052 gal

1962.66176ft³ = 14681.69 gal

Time = V / rate

Time = 14681.69 gal / 100 gal / min

Time = 146.82 min

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

by definition, an arc subtended by a central angle of some given measure has the same measure. so .