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12345 [234]
3 years ago
14

What is 1/2 divided by 4

Mathematics
2 answers:
Flura [38]3 years ago
5 0
The same as 1/2 multiplied by 1/4
= 1/2 * 1/4  = 1 / (2*4) = 1/8
Y_Kistochka [10]3 years ago
3 0
It is 1 over 8 aka 1/8. hope it helped.
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A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
2 years ago
23f in verbal expression
adell [148]
23f in verbal expression"twenty-three f".
4 0
2 years ago
How many tenths are in 8.32?
Finger [1]

there are 3 tenths in 8.32

8 0
2 years ago
Read 2 more answers
Is this correct? If not<br> please tell me the answer!
attashe74 [19]
Yes, you are absolutely correct.
3 0
2 years ago
10 POINTS!
Natasha_Volkova [10]

Answer:

B

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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