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Brrunno [24]
3 years ago
8

I need to know this asap thanks

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0
1. 1   7/8

wait a minute for me to answer number 2

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Five sixths divided by 3 equals what ​
rosijanka [135]

Answer: 5/18

<u>Do Keep Change Flip (KCF)</u>

Keep: 5/6

Change: ÷ into ×

Flip: 3/1 into 1/3

Your new problem should be: 5/6×1/3

<u>Multiply</u>

5/6×1/3=5/18

8 0
2 years ago
Use the formula r = (F/P)^1/n - 1 to find the annual inflation rate to the nearest tenth of a percent. A rare coin increases in
Dmitriy789 [7]
Go ask your professor for advice it is much better for any normal person
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3 years ago
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.

__

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

8 0
3 years ago
Factors of 28 and 44
erastovalidia [21]
28= 1,2,4,7,14,28,   

44=1,2,4,11,22,44,
5 0
3 years ago
A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values
melamori03 [73]
20 = 2 x 2 x 5
15 = 3 x 5

common divisor (CD) of 20 and 15 is 5 so n should be 5 and each group has 4 boys and 3 girls.

If there are more than one CD, then there are more than one answer.

If they ask for the largest number of groups, greatest common divisor (GCD) will be the answer.
4 0
3 years ago
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