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Category: Algebra

If-in-ABC-m-BAC-gt-90-then-cosA-cosB-cosC-F-aR-

Question Number 172214 by Shrinava last updated on 24/Jun/22 $$\mathrm{If}\:\:\mathrm{in}\:\:\bigtriangleup\mathrm{ABC}\:,\:\mathrm{m}\left(\sphericalangle\mathrm{BAC}\right)>\mathrm{90}°\:\:\mathrm{then}: \\ $$$$\mathrm{cosA}\:+\:\mathrm{cosB}\:\mathrm{cosC}\:=\:\frac{\mathrm{F}}{\mathrm{aR}} \\ $$ Commented by mr W last updated on 24/Jun/22 $${please}\:{check}!\:{maybe}\:{you}\:{meant} \\ $$$$\mathrm{cosA}\:+\:\mathrm{cosB}\:\mathrm{cosC}\:=\:\frac{{aR}}{{F}}…

Question-106655

Question Number 106655 by Algoritm last updated on 06/Aug/20 Commented by prakash jain last updated on 06/Aug/20 $${x}_{\mathrm{1}} ={kx}_{\mathrm{2}} \\ $$$${k}^{\mathrm{9}} =−\mathrm{1}\Rightarrow{k}=−\mathrm{1}\left({e}^{{i}\mathrm{2}\pi{m}/\mathrm{9}} \right)\:\:\left({m}=\mathrm{0}..\mathrm{8}\right)\:\left({I}\right) \\ $$$${k}^{\mathrm{15}}…

Question-172186

Question Number 172186 by Mikenice last updated on 23/Jun/22 Commented by kaivan.ahmadi last updated on 24/Jun/22 $${A}={x}^{{x}^{{x}^{….} } } \\ $$$${li}\underset{{x}\rightarrow\mathrm{1}} {{m}}\frac{{lnxA}}{{x}^{\mathrm{2}} −\mathrm{1}}\:\:\:\overset{{Hop}} {=}\:\:\:{li}\underset{{x}\rightarrow\mathrm{1}} {{m}}\:\frac{\frac{\mathrm{1}}{{x}}{A}+{lnx}.{A}'}{\mathrm{2}{x}}=…

A-woman-is-four-times-older-than-her-daughter-Six-years-ago-the-product-of-their-ages-is-136-How-old-is-the-woman-

Question Number 41086 by byaw last updated on 01/Aug/18 $$\mathrm{A}\:\mathrm{woman}\:\mathrm{is}\:\mathrm{four}\:\mathrm{times}\:\mathrm{older}\:\mathrm{than}\: \\ $$$$\mathrm{her}\:\mathrm{daughter}.\:\mathrm{Six}\:\mathrm{years}\:\mathrm{ago}\:\mathrm{the} \\ $$$$\mathrm{product}\:\mathrm{of}\:\mathrm{their}\:\mathrm{ages}\:\mathrm{is}\:\mathrm{136}. \\ $$$$\mathrm{How}\:\mathrm{old}\:\mathrm{is}\:\mathrm{the}\:\mathrm{woman}? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 01/Aug/18…