Evaluate h(x) = -2x + 9 when x = -2,0, and 5
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Answer: 2730 tiles (Approx)
Step-by-step explanation:
Since, The side length of each side = 25
According to the question the shape of the tile is square.
Thus, the area of one tile = 25 × 25 = 625
Also, we need to tile a kitchen measuring 102 ft. by 18 ft
Thus, the area of the room in which we have to tile = 102 × 18 = 1836 = 1836×30.48 × 30.48 = 1705699.8144
Thus, the total number of the tiles = the area of the room in which we have to tile / the area of one tile =
Since, we must take 2730 tiles to tile the kitchen.
For a given girth, the largest area will be that of a square. Then for some length x, the volume will be
.. V = x((108 -x)/4)^2
.. = (1/16)*x*(108 -x)^2
The largest volume will be found where the derivative of this with respect to x is zero.
.. V' = (1/16)*((108 -x)^2 -2x(108 -x))
.. 0 = (108 -x)(108 -x -2x)
.. x = 108 or 108/3 = 36
The dimensions of the largest package that can be mailed are
.. 36 inches in length and 72 inches in girth
The volume of that package is 11,664 in^3.
.. V = x((108 -x)/4)^2
.. = (1/16)*x*(108 -x)^2
The largest volume will be found where the derivative of this with respect to x is zero.
.. V' = (1/16)*((108 -x)^2 -2x(108 -x))
.. 0 = (108 -x)(108 -x -2x)
.. x = 108 or 108/3 = 36
The dimensions of the largest package that can be mailed are
.. 36 inches in length and 72 inches in girth
The volume of that package is 11,664 in^3.