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prohojiy [21]
3 years ago
15

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units

, and the right cylinder has a height of 5 units. Which conclusion can be made from the given information?
The volume of the prism is half the volume of the cylinder.
The volume of the prism is twice the volume of the cylinder.
The volume of the prism is equal to the volume of the cylinder.
The volume of the prism is not equal to the volume of the cylinder.
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

The volume of the Prism is equal to the volume of the cylinder

Step-by-step explanation:

Because both are 5 units making them equal

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The degree of the polynomial is 5.
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Is UVW=Xyz?if so, name the postulate that applies
aivan3 [116]

By critically observing the two triangles, we can deduce that they: B. might not be congruent.

<h3>The properties of similar triangles.</h3>

In Geometry, two triangles are said to be similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

By critically observing the two triangles, we can logically deduce that the three angles of both triangles are congruent in accordance with AAA similarity postulate:

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  • <W ≅ <Z

However, AAA isn't a congruence postulate and as such all similar triangles might not be congruent.

Read more on congruency here: brainly.com/question/11844452

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2 years ago
Solve the proportional<br> equation below:<br> x/4 = x-6/3
aleksandrvk [35]
<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

                \boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}

\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}      ‏‏‎      ‏‏‎‎      \mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}‏‏‎‎

             \boxed{\mathsf{3x = 4(x - 6)}}

Apply the distributive property:

\mathsf{3x = 4(x-6)}

\mathsf{3x = 4(x) - 4(6)}

\mathsf{3x = 4x - 24}

Add 24 to both sides:

\mathsf{3x + 24 = 4x - 24 + 24}

\mathsf{3x + 24 = 4x}

Substract 3x to both sides

\mathsf{3x - 3x + 24 = 4x - 3x}

\mathsf{24 = 4x - 3x}

\large{\boxed{\mathsf{24 = x}}}

‎      ‏‏‎

<h3><u>Answer</u>. The value of x = 24.</h3>

‎      ‏‏‎

8 0
3 years ago
A researcher is 95% confident that the interval from 5.2 hours to 7.8 hours captures u = the true mean amount of time
igor_vitrenko [27]
<h3>Answer: Choice B</h3>

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol \mu which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is <u>not</u> in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

8 0
3 years ago
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bezimeni [28]

Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

Subtract n from each side

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-8 = 6

This is never true so there is no solution

8 0
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