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drek231 [11]
4 years ago
7

A homeowner plans to enclose a 200 square foot rectangular playground in his garden, with one side along the boundary of his pro

perty. His neighbor will pay for one third of the cost of materials on that side. Find the dimensions of the playground that will minimize the homeowner's total cost for materials.
Mathematics
1 answer:
tigry1 [53]4 years ago
6 0

Answer:

The dimensions are 50 and 100 square foot

Step-by-step explanation:

Let x = length of fenced side parallel to the side that borders the playground

   y = length of each of the other two fenced sides  

Then, x + 2y = 200

<=> x = 200-2y

The Area = xy = y(200-2y)

The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.

The graph of the area function is a parabola opening downward.

The maximum area occurs when y = -200/[2(-2)] = 50

=> x = 100

So the dimensions are 50 and 100 square foot

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zimovet [89]

Answer:

7.98 \:m

Step-by-step explanation:

Area of a triangle is base times height divided by 2.

A= \frac{bh}{2}

69.6= \frac{b \times 17.45}{2}

69.6 \times 2= b \times 17.45

139.2=b \times 17.45

\frac{17.45b}{17.45}=\frac{139.2}{17.45}

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The appropriate unit is meters.

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3 years ago
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4 years ago
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m_a_m_a [10]

Answer: y = 0.45x + 21

Step-by-step explanation:

let x represent the number of minutes used in a month.

Let y represent the monthly cost for x minutes.

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The equation of the straight line can be represented in the slope-intercept form, y = mx + c

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The equation for the monthly cost is

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SSSSS [86.1K]

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C) We have two angles (so we basically have 3 angles, because all the angles of a triangle must add up to 180°) and one side, so the other two sides are defined already, with this we can make only one triangle.

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3 years ago
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Answer:

Step-by-step explanation:

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