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Phantasy [73]
2 years ago
15

Please help me now plz I will mark you brainliest

Mathematics
1 answer:
PIT_PIT [208]2 years ago
7 0

Answer:

On the circle

Step-by-step explanation:

Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:

\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10, meaning that it is on the circle. Hope this helps!

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The shortest length is given by the function for the perimeter of the

rectangular table.

  • The shortest length of trim he could use is <u>536.66 cm</u>
<h3>Method used for finding the shortest length of trim</h3>

The given parameter;

Area of the rectangular table Karma is building, <em>A</em> = <u>18,000 cm²</u>

Required:

The shortest length of trim he could use which he wants to put around the four edges.

Solution:

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Area, <em>A</em> = l × w

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Which gives;

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At the minimum point, we have;

\dfrac{d}{dw} P = \dfrac{d}{dw} \left(2 \cdot \dfrac{18,000}{w} + 2 \cdot w\right)= \mathbf{\dfrac{2 \cdot w^2 - 36,000}{w^2} }= 0

Which gives;

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2·w² = 36,000

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The width of the rectangular table, <em>w</em> = √(18,000)

Length \ of \ the \ table\ l = \dfrac{18,000}{\sqrt{18,000} } = \sqrt{18,000}

Therefore;

The perimeter of the table, P ≈ 2 × √(18,000) + 2 × √(18,000) ≈ 536.656

The length of trim required = The perimeter of the rectangular table, <em>P</em>

Therefore;

  • The shortest length of the trim he could use, given to the nearest hundredth is <u>536.66 cm</u>

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