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Sidana [21]
3 years ago
5

Can someone please help me with this

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

3x-10+70°=180°(Supplementary angles)

3x+60°=180°

3x=180°-60°

3x=120°

3x/3 =120°/3

x=40°

Step-by-step explanation:

Hope that this is helpful.

Have a wonderful day.

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Answer:

Maximum added area will be 60,000 ft²

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

Step-by-step explanation:

Consider the provided information.

There is sufficient funding to rent 1200 feet of temporary chain-link fencing.

The plan is to form two paddocks with one shared fence running down the middle.

The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.

Therefore, the perimeter is

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Solve for L

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L=600-\frac{3w}{2}

As we know the area of rectangle is A=L×W

Substitute the value of L in above formula.

A=(600-\frac{3w}{2})\times w\\A=600w-\frac{3w^2}{2}

A=-\frac{3w^2}{2}+600w

The above equation makes a downward parabola.

In order to find the maximum, find the vertex of parabola as shown:

W=\frac{-b}{2a}=\frac{600}{2\times\frac{3}{2}}=200

Hence, the width should be 200 ft in order to get maximum area,

Therefore, the length will be:

1200 = 2L + 3(200)

L=300

Now substitute the value of L and W in area formula.

A=300×200=60,000

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Hence, the length should be 300 ft, and each paddock should then be 150 feet long.

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5 0
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1. Each side of a square barn is 9 meters long.
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Hope I helped! :)
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