3 years ago

Find measure of angle b

Mathematics

1 answer:

nordsb [41]3 years ago

3 0

I cant see the problem

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A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

We can substitute $h = 5324 / s^2$

$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

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3 years ago

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Sergio [31]

Answer:

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Step-by-step explanation:

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2 years ago

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Oksana_A [137]

Answer:

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Step-by-step explanation:

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2 years ago

Apply the distributive property to factor out the greatest common factor.

mestny [16]

Answer:

90+27

90 = 9 x 10

27 = 9 x 3

So apply the distributive property would be:

90 + 27 = 9(10 + 3)

That would be it i'm sure glad to help

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yuradex [85]

Answer:

Step-by-step explanation:

g(x) = 0

0=-5x+5

5x=5

x=1

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2 years ago

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