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natita [175]
3 years ago
10

Mr. Smith need to move $6 million out of the country. The dimensions of a US bill is 2.61 inches by 6.14 inches by

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

  47.85 ft³

Step-by-step explanation:

$6 million will be $6/$5 million = 1.2 million bills of the $5 denomination.

The volume of that is ...

  (1.2×10⁶ bills)×((2.61 in)(6.14 in)(0.0043 in)/bill)/(1728 in³/ft³)

  = 1.2×2.61×6.14×4.3/1.728 ft³ ≈ 47.85 ft³

___

The units analysis is ...

  (\text{number of bills})\cdot\dfrac{\text{volume}}{\text{bill}}}=\text{volume}

where the volume per bill is the product of the given dimensions, and the conversion to cubic feet is ...

  in³ × (ft³/in³) = ft³

where the number of cubic feet per cubic inch is 1/1728.

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The length of a rectangle is seven more than double the width. If the perimeter is 22 inches find the dimensions
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Answer:

width = 1 1/3 inches

length = 9 2/3 inches

Step-by-step explanation:

let 'w' = width

let '7+2w' = length

P = 2l + 2w

22 = 2w + 2(7+2w)

22 = 2w + 14 + 4w

8 = 6w

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substitute 1 1/3, or 4/3, to find length:

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A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

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