Answer:
Pretty sure the first one is correct :)
Step-by-step explanation:
I hope this helps!
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
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How to s
olve the d
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Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
Answer: 36 whole sausages by the end of the contest.
Step-by-step explanation:
We know that he ate 27 sausages in 11 minutes, then the rate at which he ates sausages is:
R = (27 sausages)/(11 minutes) = 2.45 sausage/min
So if he ate at this rate for 15 minutes, the total number of sausages eaten by the end is:
Total number = (2.45 sausage/min)*15min = 36.8 sausages
(where we are counting again the 27 sausages that he ate in the first 11 mins)
If we only count the number of whole sausages eaten, he ate 36 whole sausages.
Answer:
30yd^2
Step-by-step explanation:
well half of 15 is 7.5 so you do 7.5 * 4 and no need to devide because it is the answer for both areas dividing gives 1 triangle
