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Softa [21]
3 years ago
6

A child has a piece of flat cardboard with dimensions of 40 cm by 44 cm. She cuts out small congruent squares from each corner o

f the cardboard. She then folds up the sides of the cardboard creating a box with a height that is the same as the side length of the removed squares. The box does not have a top.
The side length of each of the removed squares is 4x. Which of the following equations represents the volume of the box?

None of these.

V(x)=(40−8x)(44−8x)(4x)

V(x)=(40−4x)(44−4x)(4x)

V(x)=(40)(44)(4x)

V(x)=(40−2x)(44−2x)(2x)
Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

Answer:

someone please answer this

Step-by-step explanation:

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Given that (8,-1) is on the graph of f(x), find
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Answer:

(-12, -1)

Step-by-step explanation:

(8, -1) => (-2/3x, f(-2/3x))

therefore

-2/3x = 8

x = 8 *-3/2

x = -12

f(-2/3x) = -1

therefore, the corresponding point is:

(-12,-1)

5 0
2 years ago
You are playing a game in which a single die is rolled. If a 2 or 5 comes up, you win $36, otherwise you lose $36. What is your
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7 0
3 years ago
nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40
ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (V_{net}), measured in cubic milimeters, is the product of the number of elements (n), no unit, and the volume of each element (V), measured in cubic milimeters. That is:

V_{net} = n\cdot V (1)

By volume equation of right cylinder, we have the following formula:

V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h (2)

Where:

n - Amount of nickels, no unit.

D - Diameter of nickel, measured in milimeters.

h - Thickness of nickel, measured in milimeters.

If we know that n = 40, D = 20\,mm and h = 2\,mm, then the net volume of the stack of nickels is:

V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)

V_{net} \approx 25132.741\,mm^{3}

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

8 0
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ICE Princess25 [194]

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Step-by-step explanation:

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