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Ulleksa [173]
2 years ago
9

Pring 2022

Mathematics
2 answers:
WITCHER [35]2 years ago
8 0

Let's find

  • c=10-11(0.65)
  • c=10-11(65/100)
  • c=10-7.15
  • c=$2.85

lutik1710 [3]2 years ago
5 0

Answer:

<u>c = 10 - 11(0.65)</u>

Step-by-step explanation:

The equation is :

  • <u>c = 10 - 11(0.65)</u>

<u />

Change will be :

  • c = 10 - 7.15
  • c = $2.85
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33% of what number is 1.45
MAVERICK [17]
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Convert your percentage into a decimal:
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Divide both of your decimals:
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A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

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.

_____

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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3 years ago
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Point Q is the center of dilation. Line segment L M is dilated to created line segment L prime M prime. The length of L Q is 4 a
koban [17]

Answer:

The length of segment QM' = 6

Step-by-step explanation:

Given:

Q is the center of dilation

Pre-image (original image) = segment LM

New image = segment L'M'

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Segment L'M' = scale factor × length of LM

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Answer:

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