Someone help me using the diagram below!
1 answer:
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Answer with Step-by-step explanation:
Relationship between rotation and reflection:
In reflection, the pre-image gets flips across the same line.
whereas in rotation, the pre-image get spin around a point.
Rotations can be represented as two reflections i.e. the composition of reflections over two intersecting lines is always equal to rotation of that object.
In rotation, the object will get turned, this is turning some degree either clockwise or anti-clockwise.
Hence, rotation requires spinning and reflection requires flipping.
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.
