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erica [24]
2 years ago
6

A rectangular prism with a volume of 3x^3+16x^2+5x cubic units has a base area of x^2+5xsquare units. Find the height of the rec

tangular prism.
Mathematics
1 answer:
slava [35]2 years ago
4 0

The height of the rectangular prism. given its volume and base area is (3x³ + 16x² + 5x) / (x² + 5x) units.

<h3>Volume of rectangular prism</h3>

  • Volume of the prism = 3x³ + 16x² + 5x cubic units

  • Base area = x² + 5x square units

Volume of a rectangular prism = Base area × height

Height = Volume of a rectangular prism ÷ Base area

3x³ + 16x² + 5x cubic units = (x² + 5x) square units × h

h = (3x³ + 16x² + 5x) cubic units ÷ (x² + 5x) square units

h = (3x³ + 16x² + 5x) / (x² + 5x) units

Learn more about volume of rectangular prism:

brainly.com/question/20259741

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<u>Note</u> <em>Pay attention to order of vertices when comparing the congruent parts</em>

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If an item that originally cost $14 is decreased to $12, what is the percentage of decrease in the item?
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Intc
ivanzaharov [21]

We are required to find the cost of each cherry tree and rose bushes.

The cost of each cherry tree, x is $8 and the cost of each rose bushes, y is $12

let

<em>cost of each cherry tree = x</em>

<em>cost of each cherry tree = xcost of each rose bushes = y</em>

The equation:

7x + 11y = 188 (1)

13x + 11y = 236 (2)

Subtract (1) from (2) to eliminate y

13x - 7x = 236 - 188

6x = 48

divide both sides by 6

x = 48 / 6

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substitute x = 8 into (1)

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y = 132 / 11

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