Mathematics
10 Online
OpenStudy (anonymous):
Different choices which will i choose
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OpenStudy (anonymous):
OpenStudy (anonymous):
for the first one,
\[100\pi=r^2\times \pi\]
what do you think \(r\) is?
OpenStudy (anonymous):
clear or no?
\[r^2=100, r=?\]
OpenStudy (anonymous):
Clear
OpenStudy (anonymous):
and by 100 its pi which s 3.14
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OpenStudy (anonymous):
so doesnt r mean radius
ganeshie8 (ganeshie8):
yes, \(r\) is radius. whats the question ?
OpenStudy (anonymous):
i need help solving these 2 problems
ganeshie8 (ganeshie8):
have u finished solving first problem in the attachment ?
\(\large r = ?\)
OpenStudy (anonymous):
well 3 actually
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OpenStudy (anonymous):
no not yet
ganeshie8 (ganeshie8):
\(\large r^2 = 100\)
\(\large r = ?\)
OpenStudy (anonymous):
10
ganeshie8 (ganeshie8):
thats it !
r = 10 ft
OpenStudy (anonymous):
10 x 10
=
100
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OpenStudy (anonymous):
really wow i actually that THANK YOU @ganeshie8
OpenStudy (anonymous):
are you available to help me with the other 2
OpenStudy (anonymous):
shouldnt the second one be like a decimal 11.54
ganeshie8 (ganeshie8):
\[\large s^3 = 1536\]
ganeshie8 (ganeshie8):
one way to get an exact answer for s is to prime factorize 1536
know how to do prime factorization ?
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OpenStudy (anonymous):
actually yes i learned it in middle school
ganeshie8 (ganeshie8):
good,
1536
3 x 512
3 x 2^9
ganeshie8 (ganeshie8):
\[\large s^3 = 3\times 2^9\]
\[\large s = \sqrt[3]{3}\times \sqrt[3]{2^9} \]
ganeshie8 (ganeshie8):
can you simplify that ?
OpenStudy (anonymous):
if its over 9 then why is it that were using 8 as a factor
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ganeshie8 (ganeshie8):
not getting you
OpenStudy (anonymous):
\[2^9\]
OpenStudy (anonymous):
but were using \[8^3\]
ganeshie8 (ganeshie8):
Oh thats a good idea actually :
\[\large 2^9 = 2^{3\times 3} = (2^3)^3 = 8^3\]
ganeshie8 (ganeshie8):
So,
\[\large \sqrt[3]{2^9} = \sqrt[3]{8^3} = 8\]
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OpenStudy (anonymous):
ok so this would be for the second one right
ganeshie8 (ganeshie8):
yes
OpenStudy (anonymous):
\[8 \sqrt[3]{3}\]
OpenStudy (anonymous):
so 8
ganeshie8 (ganeshie8):
exactly !
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OpenStudy (anonymous):
wow BOOYA never thought i would be able to figure it out but i did
ganeshie8 (ganeshie8):
you're good with math !
OpenStudy (anonymous):
@ganeshie8 thank you very much never realized that i was but do you think you re able to help me wth the last one