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evablogger [386]
3 years ago
8

Calculating permutations can be used in all of following except _____.

Mathematics
2 answers:
stepan [7]3 years ago
8 0

Answer:

Option C,  

Calculating permutations can be used in all of following except assisting computer programmers

Step-by-step explanation:

Permutations is basically used in cases where there is some sort of patterning involved in it.

In case of seating arrangements at a wedding, survey and placing items into a display some kind of pattern will be followed.

Hence, option C

Flura [38]3 years ago
8 0

Answer:

survey results

Step-by-step explanation:

I got it right

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Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

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The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

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Interestingly, the ratio of h to r is √2.

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For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side
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9514 1404 393

Answer:

  c.  1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

  A = bh

  A = (50 units)(23 units) = 1150 units²

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<em>Additional comment</em>

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.

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