Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3
<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>14 cups = 14.4375 in^3 * 7 = 202.125 in^3 </span>
<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.
(i HAD THE SAME QUESTION)</span>
Answer:
Do you mean an MP3 player?
Step-by-step explanation:
Answer:
thousandths
Step-by-step explanation: