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Mathematics 10 Online
OpenStudy (anonymous):

Different choices which will i choose

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

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

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

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 ?

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

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, \[\large \sqrt[3]{2^9} = \sqrt[3]{8^3} = 8\]

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 !

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

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