Answer:
- 50 ft by 75 ft
- 3750 square feet
Step-by-step explanation:
Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...
y = (300 -2x)/3
And the enclosed area is ...
A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)
This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.
The maximum area is enclosed when the dimensions are ...
50 ft by 75 ft
That maximum area is 3750 square feet.
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<em>Comment on the solution</em>
The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).
Answer:
I dont think it can be simplified
Step-by-step explanation:
Step-by-step explanation:
1 face area = length x width (aka length x length since cube)
therefore 1 side = ±√144 cm = 12 cm or - 12cm (rej as length > 0cm)
volume = length x width x height = 12 x 12 x 12 = 1728cm^3
Topic: Mensuration
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Answer:
x≥5
Step-by-step explanation:
-1 ≥ x/-5
x/-5 ≤ -1
x(-1)/5 ≥ (-1) (-1)
x/5 ≥ 1
5x/5 ≥ 1 ×5
x ≥ 5
I'm not sure but I tried.
For the graph: you can draw a line about 15cm, put 0 at the start then after 5cm put 5 then 10 at 10cm and 15 at the end. At 5 put • that's the starting and go all the way to 15 and add > to show that the line continues. I'm not good at explaining but I hope it helps.
