Question Number 199286 by ajfour last updated on 31/Oct/23 Answered by ajfour last updated on 31/Oct/23 $${Let}\:{height}\:{of}\://{gm}={h} \\ $$$${AB}=\mathrm{1}\:\: \\ $$$$\mathrm{2}{r}+\sqrt{\mathrm{1}−\mathrm{4}{r}^{\mathrm{2}} }={p} \\ $$$$\frac{{r}}{\mathrm{2}}\left(\mathrm{1}+{p}+\sqrt{\mathrm{1}+{p}^{\mathrm{2}} }\right)=\frac{{p}}{\mathrm{2}}…
Question Number 199270 by mr W last updated on 31/Oct/23 Commented by mr W last updated on 31/Oct/23 $${an}\:{unsolved}\:{old}\:{question}\:#\mathrm{199155}. \\ $$ Commented by mr W…
Question Number 199261 by ajfour last updated on 30/Oct/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 199242 by Tawa11 last updated on 30/Oct/23 Answered by mr W last updated on 30/Oct/23 Commented by mr W last updated on 30/Oct/23…
Question Number 199259 by hardmath last updated on 30/Oct/23 Commented by Frix last updated on 30/Oct/23 $$\sqrt{\sqrt{\mathrm{12345689654321233}\pm\mathrm{5333334096}\sqrt{\mathrm{12345679}}}}= \\ $$$$=\sqrt{\mathrm{111111127}\pm\mathrm{24}\sqrt{\mathrm{12345679}}}= \\ $$$$=\pm\mathrm{4}+\mathrm{3}\sqrt{\mathrm{12345679}} \\ $$$$\sqrt[{\mathrm{3}}]{{x}−{y}}=\sqrt[{\mathrm{4}}]{\mathrm{8}}=\mathrm{2} \\ $$…
Question Number 199236 by SANOGO last updated on 30/Oct/23 $${calcul}\: \\ $$$$\int_{\mathrm{0}} ^{+{oo}} \frac{\mathrm{1}}{{x}^{\alpha} \:+{x}^{\beta} }{dx}\:\:\:{a}>{o} \\ $$ Answered by witcher3 last updated on 30/Oct/23…
Question Number 199234 by mr W last updated on 30/Oct/23 Commented by mr W last updated on 30/Oct/23 $${the}\:{side}\:{length}\:{of}\:{the}\:{squares}\:{is}\:\mathrm{1}. \\ $$$${find}\:{the}\:{area}\:{of}\:{the}\:{isosceles}\:{right} \\ $$$${angled}\:{triangle}. \\ $$…
Question Number 199230 by hardmath last updated on 29/Oct/23 $$\mathrm{x}\:,\:\mathrm{y}\::\:\:\:\mathrm{positive}\:\mathrm{real}\:\mathrm{numbers} \\ $$$$\mathrm{If}\::\:\:\:\mathrm{15}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{9}^{\boldsymbol{\mathrm{y}}} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{5}^{\frac{\mathrm{3}\boldsymbol{\mathrm{x}}}{\mathrm{2}\boldsymbol{\mathrm{y}}\:−\:\boldsymbol{\mathrm{x}}}} \:\:=\:\:? \\ $$ Answered by AST last updated on 29/Oct/23…
Question Number 199226 by mr W last updated on 30/Oct/23 $${find} \\ $$$$\frac{\mathrm{2}\:\mathrm{sin}\:\mathrm{2}°+\mathrm{4}\:\mathrm{sin}\:\mathrm{4}°+…+\mathrm{180}\:\mathrm{sin}\:\mathrm{180}°}{\mathrm{90}}=? \\ $$$$ \\ $$$$\left[{an}\:{unsolved}\:{old}\:{question}\:#\mathrm{198900}\right] \\ $$ Answered by mr W last updated…
Question Number 199194 by hardmath last updated on 29/Oct/23 $$\mathrm{a}_{\mathrm{1}} ,\mathrm{a}_{\mathrm{2}} ,… \\ $$$$\mathrm{a}_{\mathrm{1}} =\mathrm{1} \\ $$$$\mathrm{a}_{\mathrm{2n}} =\mathrm{n}\centerdot\mathrm{a}_{\mathrm{n}} \\ $$$$\mathrm{a}_{\mathrm{2}^{\mathrm{100}} } \:=\:? \\ $$ Answered…