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stellarik [79]
3 years ago
13

Maths help please!!!!!!!!!!!

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

Answer:

Step-by-step explanation:

Remark

Assume all of the sheet of plywood is to be used.

Front and back = 2 * 2x *h

Top and Bottom = 2 * 2x * x

Left/Right side = 2 * x * h

Total area = 4xh + 4x^2 + 2xh

Total area = 6xh + 4x^2

Total area = 600

6xh + 4x^2 = 600

h = (600 - 4x^2)/6x

h = 100/x - 2/3 x

Volume = x * 2x * h

Volume = 2x^2 * (100/x - 2/3 x)

Volume = 200x - 4/3  x^3

I can do this without calculus (I think), but it is much easier to use it.

dV/dx = 200 - 4x^2

This is a maximum when dV/dx = 0

dV/dx = 200 - 4x^2 = 0

4x^2 = 200

x^2 = 50

x = 5√2

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Answer:

k = -7

Step-by-step explanation:

Solve for k:

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Subtract k from both sides:

(-7 k - k) - 44 = (k - k) + 12

-7 k - k = -8 k:

-8 k - 44 = (k - k) + 12

k - k = 0:

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Add 44 to both sides:

(44 - 44) - 8 k = 44 + 12

44 - 44 = 0:

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12 + 44 = 56:

-8 k = 56

Divide both sides of -8 k = 56 by -8:

(-8 k)/(-8) = 56/(-8)

(-8)/(-8) = 1:

k = 56/(-8)

The gcd of 56 and -8 is 8, so 56/(-8) = (8×7)/(8 (-1)) = 8/8×7/(-1) = 7/(-1):

k = 7/(-1)

Multiply numerator and denominator of 7/(-1) by -1:

Answer: k = -7

7 0
3 years ago
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Afina-wow [57]

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Step-by-step explanation:

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Step 3: Divide by both sides by 3.

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Step-by-step explanation:

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