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raketka [301]
3 years ago
14

A geometry teacher asked Radric to define "parallel lines." Radric said that parallel lines are lines in a plane that do not hav

e any points in common. Is Radric's definition valid?
Mathematics
2 answers:
Dvinal [7]3 years ago
7 0

Answer:

Radric answer is Right.

Step-by-step explanation:

  • Radric said that the parallel lines are the lines in a plane that do not have any points in common.
  • He is right as he is talking about the lines in a plane i.e the line are not intersecting each other even till infinity .
  • It is not possible for two non-parallel lines not intersect each other in a plane at any point. Even, if there is a small deviation in the two lines they will intersect at some point in the plane.

So the Radric is right and his answer is valid.  

UkoKoshka [18]3 years ago
6 0

Answer: The answer is Yes.

Step-by-step explanation:  Given in the question that Radric was asked to define "parallel lines" and he said that parallel lines are lines in a plane that do not have any points in common. We are to decide whether Radric's definition is valid or not.

Parallel lines are defined as lines in a plane which never meets or any two lines in a plane which do not intersect each other at any point are called parallel.

Thus, Radric's definition is valid.

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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
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Answer:

 185553.7\text{ feet}^3

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

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Step by Step Explanation:

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Answer:

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