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gregori [183]
1 year ago
5

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b

y 5 ft by 8.5 ft. The container is entirely full. If, on average, its contents weigh 0.21 pounds per cubic foot, and, on average, the contents are worth $8.80 per pound, find the value of the container’s contents. Round your answer to the nearest cent.
Mathematics
1 answer:
____ [38]1 year ago
7 0

Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

\begin{gathered} Volume\text{ = }7\times5\times8.5 \\  \\ =297.5 \end{gathered}

The formula of density is:

\text{ Density =}\frac{\text{  Mass}}{\text{ Volume}}

So,

\begin{gathered} 0.21=\frac{\text{ Weight  of contents in container}}{\text{ Volume of container}} \\  \\ 0.21=\frac{\text{ Weight}}{297.5} \\  \\ 0.21\times297.5=\text{ Weight} \\  \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}

Now $8.80 per pound

For 62.475 pounds the value is:

\begin{gathered} =62.475\times8.80 \\  \\ =549.78 \end{gathered}

So the value of the container contents is 549.78

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Answer:

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Step-by-step explanation:

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Answer:

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Points A, B and C lie on a circle, centre O.<br> Angle AOC = 142°.<br> Find the value of y.
aksik [14]

The value of the angle y within the quadrilateral OABC inscribed the circle is 142°.

Let suppose that quadrilateral OABC is a parallelogram. Then, the following conditions must be fulfilled:

  1. \overline {OA} \cong \overline {BC}
  2. \overline{AB} \cong \overline{OC}
  3. \angle AOC \cong \angle ABC

In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:

\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC} (4)

If we know that \angle AOC = 142^{\circ}, then the value of \angle ABC = y = 142^{\circ}.

Based on all these finding, we conclude that the value of the angle y within the quadrilateral OABC inscribed the circle is 142°.

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