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Mathematics 8 Online
OpenStudy (anonymous):

What are scale drawings? Can you give an example?

OpenStudy (anonymous):

@texaschic101

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

in your own words please :) and i need the example in words

OpenStudy (michele_laino):

scale drawings are drawings which refer to real objects, nevertheless their measures are reduced with respect to the corresponding real measures according to a scale factor. An example are the geographical maps

OpenStudy (anonymous):

Awesome.. can you give me another example?

OpenStudy (michele_laino):

another example are drawings used in order to design a mechanical construction, namely boats, race cars, planes, and so on

OpenStudy (anonymous):

can you give me like a word problem example please :)

OpenStudy (michele_laino):

namely?

OpenStudy (anonymous):

no just like a regular word problem

OpenStudy (michele_laino):

sorry, what is a regular word problem?

OpenStudy (anonymous):

just give me another example.. but as a word problem .. it doesnt matter what type @Michele_Laino

OpenStudy (michele_laino):

another example comes from drawings used to design architectural constructions

OpenStudy (anonymous):

thats not a word problem @Michele_Laino

OpenStudy (michele_laino):

I'm sorry, I don't know what is a word problem

OpenStudy (anonymous):

like this for example.. if the distance on a map is 2 cm represents 50 meters , what is the scale factor?

OpenStudy (michele_laino):

In that case, the scale factor is: \(2\) cm corresponds to \(50\) meters, or \(1:25\)

OpenStudy (anonymous):

ok now can you give me an example like that

OpenStudy (michele_laino):

another example, is from boats constructions: 600 millimeters represents a distance of 3 meters so the scale factor is: \(200:1\)

OpenStudy (anonymous):

ok thanks.. next question :) What are vertical angles? can you give an example?

OpenStudy (anonymous):

in words please :)

OpenStudy (michele_laino):

please wait a moment

OpenStudy (michele_laino):

vertical angles is a couple of angles in which the sides of an angle are the prolongations of the sides of the other angle of the couple. Here is an example: |dw:1444060498908:dw|

OpenStudy (anonymous):

how do i explain that example to my teacher in words?

OpenStudy (michele_laino):

in that example we have considered the vertical angles which come from the intersection between two infinite coplanar and incident lines

OpenStudy (anonymous):

ok thanks :)

OpenStudy (michele_laino):

:)

OpenStudy (anonymous):

next!

OpenStudy (anonymous):

can you find the area and circumfrance of a circcle given the radius or diameter?

OpenStudy (michele_laino):

it is simple, if \(r\) is the radius and \(D\) is the diameter, then we can write this: \[\begin{gathered} A = \pi {r^2} = \pi \frac{{{D^2}}}{4} \hfill \\ C = 2\pi r = \pi D \hfill \\ \end{gathered} \] \(A\) stands for area, and \(C\) stand for circumference length

OpenStudy (anonymous):

i dont understand

OpenStudy (michele_laino):

more explanation: \[\begin{gathered} A = \pi {r^2},\quad {\text{ or }}A = \pi \frac{{{D^2}}}{4} \hfill \\ C = 2\pi r,\quad {\text{or }}C = \pi D \hfill \\ \end{gathered} \]

OpenStudy (anonymous):

but i dont get any of those things... how would you explain it to a teacher. please make it very simple :) @Michele_Laino

OpenStudy (michele_laino):

here is the explanation using words only: area is given by the product of 3.14 by the square of radius

OpenStudy (michele_laino):

or by the product of 3.14 and the square of diameter divided by four

OpenStudy (michele_laino):

circumference is given by the product of 6.28 by the radius, or is given by the product of 3.14 by the diameter

OpenStudy (anonymous):

okay.. so is this the answer? area is given by the product of 3.14 by the square of radius or by the product of 3.14 and the square of diameter divided by four. circumference is given by the product of 6.28 by the radius, or is given by the product of 3.14 by the diameter.

OpenStudy (michele_laino):

correct!

OpenStudy (anonymous):

why did you use 3.14 and 6.28?

OpenStudy (michele_laino):

since, the quotient by the length of a circumference and the diameter of that circumference is an irrational number, namely: 3.14159....(infinite decimal figures) which can be approximated to 3.14

OpenStudy (michele_laino):

the quotient between*

OpenStudy (michele_laino):

6.28 is 3.14*2=6.28

OpenStudy (anonymous):

ok thanks :) next!

OpenStudy (anonymous):

can you describe the difference between complementary and supplementary angles?

OpenStudy (michele_laino):

complementary angles are angles whose sum is congruent to a right angle. here is an exmaple: |dw:1444061870759:dw| Supplementary angles are angles whose sum is congruent to a flat angle. here is an example: |dw:1444061943310:dw|

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