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alexgriva [62]
2 years ago
13

Dora says that of all the possible rectangles with the same area, the rectangle with the largest perimeter will have two side le

ngths that are 1 unit does her sentment make sense?
Mathematics
1 answer:
I am Lyosha [343]2 years ago
8 0

Answer:

  maybe

Step-by-step explanation:

Dora is apparently assuming the dimensions are integers. In that case she is correct.

If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.

For some perimeter P and side length x, the area is ...

  A = x(P/2 -x)

Conversely, the perimeter for a given area is ...

  P = 2(A/x +x)

This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.

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What is the range of each function given below let g(x)=3^2x?
Naya [18.7K]

Until now, given a function  <span>f(x)</span>, you would plug a number or another variable in for x. You could even get fancy and plug in an entire expression for x. For example, given  <span>f(x) = 2x + 3</span>, you could find <span>f(y2 – 1)</span> by plugging<span> y2 – 1</span> in for x to get <span>f(y2 – 1) = 2(y2 – 1) + 3 = 2y2 – 2 + 3 = 2y2 + 1</span>.

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3 years ago
PLEASE CHECK MY ANSWERS (PART 2)
Anna007 [38]
3 is incorrect, should be 28.9

16^2 + 18^2 = EG^2
256 + 324
580 = EG^2
EG ≈ 24.08

16^2 + 24.08^2 = AG^2
256 + 580 = AG^2
836 = AG^2
AG ≈ 28.9

5 is incorrect:

The base is 8.
Draw an altitude the base.
Since the triangle is isoceles, it divides the base in half.
Half of that base is 4.
Two right triangles have been formed with one leg 4 and hypotenuse 8.
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The height of the triangle is 6.93, the base is 8.
A = bh/2 = 8*6.93/2 ≈ 27.7 ≈ 28



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