Answer:
D
Step-by-step explanation:
9pi is 28.27 which is greater than 27.
Answer:
11×10= answer is correct i try this at my shcool is correct
Step-by-step explanation:
hehehehehehehehehehehe
Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity.
<h3>
How to model and analyse an open box</h3>
a) The volume of the box (
), in cubic centimeters, is equal to the area of the base (
), in square centimeters, multiplied by the height of the box (
), in centimeters. The area of the surface is the product of the width (
) and length (l), both in centimeters:
(1)
The volume of the container is
cubic centimeters. ![\blacksquare](https://tex.z-dn.net/?f=%5Cblacksquare)
b) We need to apply first derivative analysis and second derivative analysis to determine the dimensions of the <em>maximum</em> squares to be cut:
<h3>FDT</h3>
![-4\cdot (36-2\cdot x)\cdot x+(36-2\cdot x)^{2} = 0](https://tex.z-dn.net/?f=-4%5Ccdot%20%2836-2%5Ccdot%20x%29%5Ccdot%20x%2B%2836-2%5Ccdot%20x%29%5E%7B2%7D%20%3D%200)
![-4\cdot x + 36-2\cdot x = 0](https://tex.z-dn.net/?f=-4%5Ccdot%20x%20%2B%2036-2%5Ccdot%20x%20%3D%200)
![6\cdot x = 36](https://tex.z-dn.net/?f=6%5Ccdot%20x%20%3D%2036)
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
<h3>SDT</h3>
![V'' (x) = -4\cdot [(-2)\cdot x+(36-2\cdot x)]-4\cdot (36-2\cdot x)\cdot x + (36-2\cdot x)^{2}](https://tex.z-dn.net/?f=V%27%27%20%28x%29%20%3D%20-4%5Ccdot%20%5B%28-2%29%5Ccdot%20x%2B%2836-2%5Ccdot%20x%29%5D-4%5Ccdot%20%2836-2%5Ccdot%20x%29%5Ccdot%20x%20%2B%20%2836-2%5Ccdot%20x%29%5E%7B2%7D)
![V''(x) = 8\cdot x-4\cdot (36-2\cdot x)-4\cdot (36\cdot x-2\cdot x^{2})+(36-2\cdot x)^{2}](https://tex.z-dn.net/?f=V%27%27%28x%29%20%3D%208%5Ccdot%20x-4%5Ccdot%20%2836-2%5Ccdot%20x%29-4%5Ccdot%20%2836%5Ccdot%20x-2%5Ccdot%20x%5E%7B2%7D%29%2B%2836-2%5Ccdot%20x%29%5E%7B2%7D)
![V'' (6) = -48](https://tex.z-dn.net/?f=V%27%27%20%286%29%20%3D%20-48)
Since
, the <em>critical</em> value of
leads to a maximum.
Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity.
To learn more on optimization, we kindly invite to check this verified question: brainly.com/question/5425085
The segment joining the endpoints of the arc cut off by the angle is 8
inches long. I am hoping that this answer has satisfied your query and
it will be able to help you in your endeavor, and if you would like, feel free
to ask another question.