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raketka [301]
3 years ago
12

The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases h

ave 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x 3). The vertical height of the prism is (x 2). What expression represents the volume of the prism, in cubic units? One-halfx3 x2 One-halfx3 Three-halves x2 x3 x2 x3 3x2.
Mathematics
1 answer:
balandron [24]3 years ago
7 0

The volume of the geometry that is oblique prism is \rm 0.5x^3 + x^2. Then the correct option is A.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The oblique prism below has an isosceles right triangle base.

The triangular bases have 2 sides with a length of x.

The distance from the 2 triangular bases is (x + 3).

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

The volume of the oblique prism will be

\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume =  \dfrac{1}{2} x^3 + x^{2} \\\\

The volume of the oblique prism is \rm 0.5x^3 + x^2.

Thus, option A is correct.

More about the geometry link is given below.

brainly.com/question/7558603

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iren2701 [21]

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is \frac{2}{5}.

Step-by-step explanation:

It is provided that:

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  • Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

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(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

Thus, the probability that Aadi will get Tails is \frac{2}{5}.

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3 years ago
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