A rectangle is 1 cm more than twice its width. Find the dimensions of the rectangle if it’s area is 45cm.
1 answer:
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Answer:
There can be at most attendees in a corporate team-building event.
Step-by-step explanation:
Let denotes number of attendees in a corporate team-building event.
Fixed cost = $19
Cost charged per attendee = $1
Budget for the corporate team-building event = $31
Therefore,
So, there can be at most attendees in a corporate team-building event.
Answer:
24 inches
Step-by-step explanation:
Let the longest side be x, the middle side be y and the shortest side be z
Rest is in the attached file
Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
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<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
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As the attached graph shows, a graphing calculator can also provide the solution.
