<span>We let x be the length and y be the width of the rectangle. Then,
Perimeter = 2x + 2y
100 = 2x + 2y
50 = x + y
y = 50 - x
Area = xy
A = x(50 - x)
A = 50x - x^2
We then take the derivative; set it equal to zero:
A ' = 50 - 2x
0 = 50 - 2x
2x = 50
x = 25
y = 50 - x
y = 50 - 25
y = 25
Therefore, the dimensions are 25 and 25.</span>
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Volume is a three-dimensional scalar quantity. The number of kleenex boxes that can fit in the large box is 4096.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the larger box have a length of the side as 4 feet. Also, the kleenex box is a cube with side lengths of 3 inches. Therefore, the number of cubes that will fit is,
Number of boxes = Volume of Larger box / Volume of kleenex box
Number of box = (4 feet)³ / (3 inches)³
Number of box = (48 inches)³ / (3 inches)³
Number of box = 4096
Hence, the number of kleenex boxes that can fit in the large box is 4096.
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Answer: 1/4
Explanation: Rise/Run; the amount of units up over the amount of units right.
