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jeka57 [31]
2 years ago
6

Work out the volume for this prism ​

Mathematics
1 answer:
melisa1 [442]2 years ago
4 0
<h3><u>given</u><u>:</u></h3>

<u>area = 24 \:  {cm}^{2}</u>

<u>height = 8 \: cm</u>

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the volume of the given prism.

<h3><u>solution</u><u>:</u></h3>

<u>v = area \: of \: cross \: section \times height</u>

<u>v = 24 \times 8</u>

<u>v = 192 \:  {cm}^{3}</u>

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>9</u><u>2</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>

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A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.

<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
  • Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.

For example, √128, √16

  • Like radicals: Radicals that have the same root number and radicand (expression under the root)

For example, 2√x and 5√x are like terms.

Here in the question radical expressions are given,

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By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.

Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.

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Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 75% syrup?
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Step-by-step explanation:

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Write a proportion:

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Cross multiply:

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