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aniked [119]
3 years ago
7

What is the difference between a prism and a pyramid? How does finding their surface area differ?

Mathematics
2 answers:
kaheart [24]3 years ago
8 0

Answer:

A prism is a solid figure that has a two congruent bases and rectangular sides. For example, place a square on a table top. Then move the square 5 inches vertically above. The original square and the square in the new position are the bases of a prism. The edges of the prism are the segments that connect each vertex of the bottom base to the corresponding vertex of the upper base. The total number of faces of a prism (bases and sides) is always 2 more than the number of edges of the base polygon.

A pyramid has a single base in the shape of a polygon. Let's say you have a square on a table top. The top of the pyramid is a single point. Think of a point 5 inches above the center of the square. Connect each vertex of the square to the point above the square. That is a pyramid. The sides are triangles. The total number of faces of a pyramid is one more than the number of edges of the base polygon.

A prism has two bases and rectangular sides. If the bases of a prism are triangles, then it has 3 sides, so the total number of faces is 5. To find the surface area of a prism, find the area of a base and double it since the areas of the two bases are always equal. Then find the area of each side face, and add to the area of the bases.

A pyramid has one base and triangular sides. To find the surface area of a pyramid, find the area of the base and the areas of all the triangular sides and add them together.

goblinko [34]3 years ago
5 0

Answer:

The main difference between a prism and a pyramid is that a prism has two bases, while the pyramid only has one.

The surface area of a prism is equal to the sum of the area of its bases and the lateral area

The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base

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Step-by-step explanation:

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2 years ago
A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class
KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

<u><em /></u>

<u><em>Let p = percentage of seniors who skip their classes.</em></u>

So, Null Hypothesis, H_0 : p \leq 2%   {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, H_A : p > 2%   {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of seniors who skipped their classes = \frac{77}{2521}

           n = sample of classes = 2521

So, <u><em>test statistics</em></u>  =  \frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }

                               =  3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, <u>the z table gives critical value of 2.3263 for right-tailed test</u>. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0
3 years ago
You are given that &lt;GHJ is a complement of &lt;RST and &lt;RST is a supplement of &lt;ABC. Let m&lt;GHJ be x°. What is the me
MAVERICK [17]

∠GHJ and ∠RST are complementary

⇒  ∠GHJ and ∠RST = 90°

And ∠RST and ∠ABC are supplementary

⇒  ∠RST and ∠ABC = 180°

Also, ∠GHJ = x°

⇒ ∠RST = 90° - x°

⇒ ∠ABC = 180° - ∠RST

⇒ ∠ABC = 180° - (90° - x°)

⇒ ∠ABC = 90° + x°

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3 years ago
If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?
Stels [109]

Answer:

1:10 pm

Step-by-step explanation:

<em>60 minutes in an hour</em>, so

8:50am + <u>4 hours</u> = 12:50pm

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