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Category: Algebra

1-8-10-6-tan-89-9999-pi-upto-9-decimal-places-can-i-have-some-explanations-how-it-is-worked-out-Thank-you-

Question Number 47239 by JDlix last updated on 06/Nov/18 $$\frac{\mathrm{1}.\mathrm{8}×\mathrm{10}^{\mathrm{6}} }{{tan}\left(\mathrm{89}.\mathrm{9999}°\right)}\:\sim\:\pi\:\left({upto}\:\mathrm{9}\:{decimal}\:{places}\right) \\ $$$${can}\:{i}\:{have}\:{some}\:{explanations}\:{how}\:{it}\:{is}\:{worked}\:{out}\:? \\ $$$${Thank}\:{you}! \\ $$ Commented by MJS last updated on 07/Nov/18 $$\mathrm{I}\:\mathrm{guess}\:\mathrm{somebody}\:\mathrm{just}\:\mathrm{messed}\:\mathrm{around}\:\mathrm{a}\:\mathrm{bit}.…

Question-47179

Question Number 47179 by peter frank last updated on 05/Nov/18 Answered by tanmay.chaudhury50@gmail.com last updated on 06/Nov/18 $${eqn}\:{circle}\:\left({x}−\alpha\right)^{\mathrm{2}} +\left({y}−\beta\right)^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$${since}\:{it}\:{touch}\:{y}\:{axis}\:\:{so} \\ $$$${radius}\:{r}=\alpha \\…

a-n-1-b-n-1-a-n-b-n-ab-find-n-

Question Number 178240 by Shrinava last updated on 14/Oct/22 $$\frac{\mathrm{a}^{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:+\:\mathrm{b}^{\boldsymbol{\mathrm{n}}+\mathrm{1}} }{\mathrm{a}^{\boldsymbol{\mathrm{n}}} \:+\:\mathrm{b}^{\boldsymbol{\mathrm{n}}} }\:=\:\sqrt{\mathrm{ab}}\:\:\:\mathrm{find}\:\:\:\mathrm{n}=? \\ $$ Answered by Rasheed.Sindhi last updated on 14/Oct/22 $$\mathrm{a}^{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:+\:\mathrm{b}^{\boldsymbol{\mathrm{n}}+\mathrm{1}}…

Solve-for-n-4-n-2-n-6-2-n-4-3-4-n-2-3-

Question Number 47139 by Tawa1 last updated on 05/Nov/18 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{n}:\:\:\:\:\:\:\mathrm{4}^{\mathrm{n}} \:+\:\mathrm{2}^{\mathrm{n}} \:−\:\mathrm{6}\:=\:\left(\mathrm{2}^{\mathrm{n}} \:−\:\mathrm{4}\right)^{\mathrm{3}} \:+\:\left(\mathrm{4}^{\mathrm{n}} \:−\:\mathrm{2}\right)^{\mathrm{3}} \:…. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 05/Nov/18…

Let-S-1-2-3-4-28-29-30-How-many-subgroups-of-3-elements-are-in-the-S-so-that-their-sum-is-a-multiple-of-3-The-answer-is-1-360-subgroups-

Question Number 178213 by Acem last updated on 14/Oct/22 $${Let}\:{S}=\:\left\{\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4},\:…,\:\mathrm{28},\:\mathrm{29},\:\mathrm{30}\right\} \\ $$$$\:{How}\:{many}\:{subgroups}\:{of}\:\mathrm{3}\:{elements}\:{are}\:{in}\:{the}\:{S} \\ $$$$\:\:{so}\:{that}\:{their}\:{sum}\:{is}\:{a}\:{multiple}\:{of}\:\mathrm{3} \\ $$$$ \\ $$$$\:{The}\:{answer}\:{is}\:\mathrm{1}\:\mathrm{360}\:{subgroup}\mathrm{s} \\ $$$$ \\ $$ Commented by Acem…

Question-178200

Question Number 178200 by Shrinava last updated on 13/Oct/22 Answered by Frix last updated on 14/Oct/22 $${f}\left({x}\right)=\mathrm{e}^{\mathrm{2}{x}/\mathrm{3}} \\ $$$${f}\left({x}\right)×{f}\left({x}/\mathrm{2}\right)=\mathrm{e}^{\mathrm{2}{x}/\mathrm{3}} \mathrm{e}^{{x}/\mathrm{3}} =\mathrm{e}^{{x}} \\ $$$$\Omega=−\infty\:\left[\mathrm{limit}\:\mathrm{doesn}'\mathrm{t}\:\mathrm{exist}\right] \\ $$…