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enot [183]
3 years ago
10

Need help please! On this math question

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

B 2+-5=-3

Step-by-step explanation:

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A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

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Highest common factor of 135 and 180
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<span>the highest common factor is forty-five</span>
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Help!!!
choli [55]

Answer:

Step-by-step explanation:

y - 5 > 2x - 10 \\\ y > 2x - 10 + 5 \\\ y > 2x - 5

If x = 0:

y > 2 × 0 - 5

y > - 5

If x = 3:

y > 2 × 1 - 5

y > 1

The coordenates (3, 1) and (0, -5) are not included.

Alternative A

I hope I helped you.

5 0
3 years ago
Read 2 more answers
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