Problem Situation:

Eric is adding water to a 60-gallon pool.

The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.

How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?

Inequality that represents this situation:

27≤12+6x

To solve the inequality, you can begin by solving the equation as shown.

Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.

x ≥ 2.5

Step-by-step explanation:

Volume of the pool = 60 gallon

Eric is adding the water in the pool with the rate = 6 gallons per minute

If he adds the water for x minutes then amount or water in the pool = 6x gallons

Pool already contains water = 12 gallons

So the total water in the pool = (6x + 12) gallons

If this amount is at least 27 gallons, then the inequality representing the amount f water in the pool will be

6x + 12 ≥ 27

(6x + 12) - 12 ≥ 27 - 12

6x ≥ 15

x ≥ 2.5

x = 25/2304

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,