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Nookie1986 [14]
3 years ago
7

Sally wants to build a three-sided fence enclosing a rectangular play area in her backyard. the area will be exactly 500 square

feet. assume her house is wide enough that she will not need to use the entire length. the fence costs $5 per foot. find the length and width of the play area that minimize the cost of the fence. justify that you have found a minimum
Mathematics
1 answer:
Effectus [21]3 years ago
4 0
$2,500 hope it’s the right answer
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You have 200 meters of fencing. What triangle will result in the maximum fence-able area? What is that area?
ikadub [295]

Answer:

It will be an equilateral triangle and the area is 1924.5 sq. meters.

Step-by-step explanation:

If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.

Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.

So, the equilateral triangle with a perimeter of 200 meters will have side lengths of \frac{200}{3} meters.

Now, the area of an equilateral triangle with sides a units is given by \frac{\sqrt{3}}{4} a^{2} sq. units.

So, the area of the above equilateral triangle will be = \frac{\sqrt{3}}{4}\times (\frac{200}{3})^{2} = 1924.5 sq. meters. (Answer)

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3 years ago
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galina1969 [7]

Answer:

0.01 is the awnser can you put me as the brainlest awnser

Step-by-step explanation:

4 0
3 years ago
Slope -3/4, through (-2,4)
exis [7]

Answer:

I assume you want the equation for the line in y=mx+b form, if not, you can just transfer this form to standard or intercept. y=(-3/4)x+2.5

Step-by-step explanation:

Since you have the slope and a point, plug in the points to the equation y=9-3/4)x+b to get 4=(-3/4)(-2)+b and solve.

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What is the slope of the line?
Leya [2.2K]

Answer:

The slope of the line is -3

Step-by-step explanation:

I chose the points (-2,3) and (0,-3)

The slope formula: m=\frac{y_2-y_1}{x_2-x_1}

\frac{-3-3}{0-(-2)} ==> \frac{-3-3}{0+2} ==> \frac{-6}{2} = -3

Our final answer is -3.

Hope that helps!

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Answer:

El gas natural llegó ayer a Mallorca a través del gasoducto submarino.

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