Answer:
Let's use the formula for the volume of a rectangular prism;
V = l · w · h
Where 'l' represents the length, 'w' stands for the width, and 'h' displays as the height. (V evidently stands for the volume)
<u>What we know:</u>
- Volume = 240 ft
- Length = 4 ft
<u>What we need to find out:</u>
Let's plug in what we know into the formula:
V = l · w · h
<u>240</u> = <u>4</u> · <u>4</u> · h
Now let's solve for h:-
240 = 16 · h
240 = 16h
Get rid of h's co-efficient by dividing 16 from both sides because the inverse operation of multiplication(since 16 is being multiplied by h) is division.
÷16 ÷16
Finally, you would end up with a result of:
<u>15</u> = h
Hence, the height of this prism is <u>15 feet</u>.
He needs to learn >10 new plays, but has already learned 4. Therefore, the inequality is x+4>10, where x is the amount of new plays he must learn, 4 is the amount he has already learned and >10 (more than 10) is the amount of plays he needs to learn in total.
x+4>10
x>6 is the solved inequality
When you cut along the diagonal, a right triangle is formed where the hypotenuse is the diagonal and the legs are the length and width of the rectangle (10 and 15 in this case)
Now use the pythagorean theorem to solve
10^2+15^2=325=c^2
c= approx 18.02775=length of the diagonal
