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SVEN [57.7K]
3 years ago
14

These two scalene triangles are similar with a scale of 7:47:4. What is true about these figures?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0
The ratio of the corresponding sides is in the ratio 7:4
The ratio of the areas is 7^2:4^2 = 49:16.


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A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence paral
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Answer:

  F = 3x +(2.7×10^7)/x

Step-by-step explanation:

The formulas for area and perimeter of a rectangle can be used to find the desired function.

<h3>Area</h3>

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  A = LW

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Solving for y gives ...

  y = (13.5×10^6)/x

<h3>Perimeter</h3>

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<h3>Fence length</h3>

The total amount of fence required is the perimeter plus one more section that is x feet long.

  F = 2(x +y) +x = 3x +2y

Substituting for y, we have a function of x:

  F = 3x +(2.7×10^7)/x

__

<em>Additional comment</em>

The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.

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