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iren2701 [21]
3 years ago
14

The length of the base of a rectangular prism is given as x + 4, and the width of the base is x +2. The height of the rectangula

r prism is three more than two times the length. Build a function to model the volume of the rectangular prism.
Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer:

  V(x) = (x +4)(x +2)(2x +11)

Step-by-step explanation:

For length L = (x+4), the height is ...

  2L +3 = 2(x+4) +3

  = 2x +8 +3

  = 2x +11

The volume is the product of length, width, and height, so is ...

  V = (x +4)(x +2)(2x +11)

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A girl is flying a kite with a 120ft string attached to the ground is flying directly Selena’s head is standing 24 ft from where
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Answer:

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Step-by-step explanation:

Given that the length of the string (AB in the attached diagram) is 120 feet.

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Since the kite is directly above Selena's head, the problem forms a right triangle.

Using Pythagoras theorem

|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft

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The distance of the kite above her head is BC in the drawn diagram.

Therefore:

|BD|=|BC|+|CD|

117.58=|BC|+6

|BC|=117.58-6

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