The greatest area that can be enclosed by a given amount of material will always be a square...
M=2L+2W so we can say:
2L=M-2W
L=(M-2W)/2
area is:
A=LW and using L from above:
A=W(M-2W)/2
A=(MW-2W^2)/2
dA/dW=(M-4W)/2
d2A/dW2=-4
Since acceleration, d2A/dW2, is a negative constant, when velocity, dA/dW=0, it is at an absolute maximum for A(W).
dA/dW=0 only when M-4W=0, 4W=M, W=M/4
from earlier we found L=(M-2W)/2 and using W from above we get:
L=(M-M/2)/2
L=(2M-M)/4
L=M/4
So L=W=M/4, thus it is a square.
That's the proof, anyway...
188=2x+2y
94=x+y
y=94-x
A=xy and using y from above:
A=94x-x^2
dA/dx=94-2x, d2A/dx2=-2, as explained earlier, since acceleration is a negative constant, when dA/dx=0, it is at an absolute maximum for A(x).
dA/dx=0 only when 94-2x=0, 2x=94, x=47
and from earlier, y=94-x, so y=94-47
y=47
So the dimensions that produce the greatest area are:
47ft by 47ft
And thus the greatest area is:
47^2=2209 ft^2
Answer:
(4,-3) Domain: 4. (8,8) Domain: 8. (0,-3) Domain: 0. (8,1) Domain: 8 (4,3) Domain: 4
Answer:
The Length of the triangle = 2.307 cm
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given hypotenuse of a right triangle is = 6 1 /2 cm
Let assume the height of the triangle h = 
Given Area of the triangle = 7 1/2 sq.cm.
A = 
<u><em>Step(ii):</em></u>-
We know that Formula
<em>Area of the triangle </em>


On calculation , we get
Base of the triangle (b) = 
<u>Conclusion</u>:-
The length of the triangle = 2.307 c.m
What statement and what did it say?!
The opposite of the number 0 that is -0 on the number line will be equal to 0 itself.
A number line may be defined as a scale consisting of numbers labelled from 0 to 9 which are used to plot or mark different points for various entities. Number line extends from 0 to 9 in the positive side that is usually taken as right-hand side and it extends from 0 to -9 in the negative side that is usually taken as the left-hand side. The numbers on the right-hand side of number line have their opposites on the left-hand side. The opposite of a number x is taken as -x. For example, the opposite of 4 is taken as -4 and 4 lies on right-hand side whereas -4 lies on left-hand side. 0 lies on the center of number line and is taken as the main point. It is neither positive nor negative so the opposite of 0 is 0. The figure of number line is attached.
Learn more about Number line at:
brainly.com/question/11064576
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