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tatuchka [14]
2 years ago
8

What expression represents the volume of the prism, in cubic units? one-halfx3 one-halfx2 x 2x3 2x2 x

Mathematics
1 answer:
otez555 [7]2 years ago
7 0

Volume of prism = \frac{1}{2x^{3} } + x^{2}

Given that:

The oblique prism below has an isosceles right triangle base and the length of the base is x

=> the area of the base: \frac{1}{2} × x × x = \frac{1}{2}

The vertical height of the prism is (x + 2)

=> The volume of the oblique prism is:

                    V = the base area * the vertical height

<=> V = \frac{1}{2} x^{2} (x + 2)

<=> V =  \frac{1}{2x^{3} } + x^{2}

To learn more about volume of the prism from the given link

brainly.com/question/15892907

#SPJ4

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3 years ago
A single die is rolled. Find the probability of rolling an oddnumber or a number less than 6.
mina [271]

Given

A single die is rolled.

To find the probability of rolling an odd number or a number less than 6.

Explanation:

It is given that,

A single die is rolled.

Then, the sample space is,

\begin{gathered} S=\lbrace1,2,3,4,5,6\rbrace \\ n(S)=6 \end{gathered}

Let A be the event of getting an odd number.

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\begin{gathered} A=\lbrace1,3,5\rbrace \\ n(A)=3 \end{gathered}

Let B be the event of getting a number less than 6.

Then,

\begin{gathered} B=\lbrace1,2,3,4,5\rbrace \\ n(B)=5 \end{gathered}

Also,

\begin{gathered} A\cap B=\lbrace1,3,5\rbrace \\ n(A\cap B)=3 \end{gathered}

Therefore,

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5 0
11 months ago
Read 2 more answers
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