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Mathematics 9 Online
OpenStudy (i_love_my_nieces):

@Michele_Lanio

OpenStudy (i_love_my_nieces):

OpenStudy (i_love_my_nieces):

Can you see it?

OpenStudy (michele_laino):

here the circumference C is given by the subsequent formula: \[C = 2 \times 3.14 \times radius = ...?\]

OpenStudy (i_love_my_nieces):

144.44?

OpenStudy (michele_laino):

ok!

OpenStudy (i_love_my_nieces):

Is that the answer?

OpenStudy (michele_laino):

yes!

OpenStudy (i_love_my_nieces):

Okay great! Do you want me to open a new post or stay on this one??

OpenStudy (michele_laino):

please wait we have to round to the nearest tenth, so the answer will be: 144.4

OpenStudy (i_love_my_nieces):

OK! Thank you! Do you want to stay in this one or open a new one?

OpenStudy (michele_laino):

we can continue into this one

OpenStudy (i_love_my_nieces):

Okay

OpenStudy (i_love_my_nieces):

This one really got me..

OpenStudy (i_love_my_nieces):

I think it's 8. But I'm not sure how to get it..

OpenStudy (michele_laino):

those triangles are similar triangles, so we can write the subsequent proportion: \[4:x = 10:20\]

OpenStudy (michele_laino):

what is x?

OpenStudy (i_love_my_nieces):

14??

OpenStudy (michele_laino):

hint: we have to apply the fundamental property of proportion, namely: \[10x = 80\]

OpenStudy (i_love_my_nieces):

8!

OpenStudy (michele_laino):

yes!

OpenStudy (i_love_my_nieces):

So how did we work this out??

OpenStudy (michele_laino):

step #1 since the triangles are similar Iwe can write the proportion: \[4:x = 10:20\] step #2 Now we apply the fundamental property of the proportions, so we can write: \[10x = 80\] step #3 finally we divide both sides of the last equation by 10, and we get: \[x = 8\]

OpenStudy (i_love_my_nieces):

Is that 4 over x = 10 over 20?

OpenStudy (i_love_my_nieces):

@Michele_Laino

OpenStudy (i_love_my_nieces):

Are you there?

OpenStudy (michele_laino):

yes! I have lost my connection. yes! this is 4 over x = 10 over 20

OpenStudy (i_love_my_nieces):

Okay, sorry I thought you left me

OpenStudy (i_love_my_nieces):

You're awesome! I some more if you're up for it?

OpenStudy (michele_laino):

ok! I'm ready!

OpenStudy (i_love_my_nieces):

Awesome! New one this one?

OpenStudy (michele_laino):

this one!

OpenStudy (i_love_my_nieces):

OK

OpenStudy (i_love_my_nieces):

OpenStudy (i_love_my_nieces):

Can you see it?

OpenStudy (michele_laino):

hint: the area of each triangle, is: \[A = \frac{{base \times height}}{2} = \frac{{8 \times 22}}{2} = ...?\]

OpenStudy (michele_laino):

what is A?

OpenStudy (i_love_my_nieces):

Huh?

OpenStudy (michele_laino):

I'm here

OpenStudy (michele_laino):

what is A?

OpenStudy (i_love_my_nieces):

What do you mean "what is A?"?

OpenStudy (michele_laino):

A is: \[A = \frac{{base \times height}}{2} = \frac{{8 \times 22}}{2} = ...?\]

OpenStudy (i_love_my_nieces):

It say's "Math Processing Error"

OpenStudy (michele_laino):

I rewrite my formula, please wait...

OpenStudy (i_love_my_nieces):

Okay

OpenStudy (michele_laino):

A= (base * height)/2= (8*22)/2=...?

OpenStudy (i_love_my_nieces):

88

OpenStudy (michele_laino):

ok! Now we have to keep in mind that the lateral area S is four times that area, namely: S = 4 * 88=...?

OpenStudy (i_love_my_nieces):

352

OpenStudy (michele_laino):

since we have four of such triangles

OpenStudy (michele_laino):

ok! That's right!

OpenStudy (i_love_my_nieces):

Ready for the next one?

OpenStudy (michele_laino):

ok!

OpenStudy (i_love_my_nieces):

OpenStudy (i_love_my_nieces):

151.58?

OpenStudy (michele_laino):

hint: the surface of a cone can be represented as follows: |dw:1427582114990:dw|

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