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GREYUIT [131]
3 years ago
15

Find the value of y.

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

<em>Comment on the geometry</em>

There are three "geometric mean" relationships that apply to this geometry.

  1. the altitude BD is the geometric mean of BC and BA (√30)
  2. the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
  3. the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

__

The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

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Answer:

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In words - two divided by one eighth = sixteen.

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6 0
3 years ago
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Please help me with any of the questions
Svetlanka [38]
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The chances of getting an even sum are much higher which is why you should choose even.

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You have to divide (16 x √3) by 4. 16/4 = 4, and you only need to divide once to.  We get 4√3 as the final answer.
7 0
3 years ago
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8 0
3 years ago
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Aleksandr-060686 [28]
From the right hand side, we will need to find a way to rewriting 3x²y in terms of cube roots.
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4 0
3 years ago
Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.
timofeeve [1]
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6 0
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