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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!
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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?
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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:
\[4:x = 10:20\]
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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!
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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?
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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?
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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:
\[A = \frac{{base \times height}}{2} = \frac{{8 \times 22}}{2} = ...?\]
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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?"?
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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=...?
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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!
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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|