Question Number 207008 by mr W last updated on 03/May/24 Answered by A5T last updated on 03/May/24 Commented by A5T last updated on 03/May/24 $$\frac{\mathrm{5}}{{BO}}=\frac{\mathrm{6}}{{CO}}\Rightarrow\frac{{BO}}{{CO}}=\frac{\mathrm{5}}{\mathrm{6}};\:{BO}=\mathrm{5}{x};{CO}=\mathrm{6}{x}…
Question Number 206992 by mnjuly1970 last updated on 03/May/24 $$ \\ $$$$\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\: \\ $$ Answered by mr W last updated on 03/May/24 $$−\mathrm{1}\leqslant{x}^{\mathrm{2}}…
Question Number 206993 by necx122 last updated on 03/May/24 $${If}\:{the}\:{nth}\:{term}\:{of}\:{a}\:{sequence}\:{is} \\ $$$${given}\:{by}\:\frac{{n}^{\mathrm{2}} −\mathrm{2}{n}}{\mathrm{4}}\:,{what}\:{is}\:{the}\:{sum}\:{of}\:{n} \\ $$$${terms}\:{of}\:{the}\:{sequence}? \\ $$ Answered by Rasheed.Sindhi last updated on 03/May/24 $$\underset{{k}=\mathrm{1}}…
Question Number 206970 by MATHEMATICSAM last updated on 02/May/24 $$\mathrm{If}\:\mathrm{sin}\theta\:=\:\frac{{m}^{\mathrm{2}} \:+\:\mathrm{2}{mn}}{{m}^{\mathrm{2}} \:+\:\mathrm{2}{mn}\:+\:\mathrm{2}{n}^{\mathrm{2}} }\:\mathrm{then}\:\mathrm{prove} \\ $$$$\mathrm{that}\:\mathrm{tan}\theta\:=\:\frac{{m}^{\mathrm{2}} \:+\:\mathrm{2}{mn}}{\mathrm{2}{mn}\:+\:\mathrm{2}{n}^{\mathrm{2}} }\:. \\ $$ Answered by Rasheed.Sindhi last updated on…
Question Number 206987 by hardmath last updated on 02/May/24 $$\frac{\mathrm{120}}{\mid\mathrm{x}−\mathrm{1}\mid\:+\:\mid\mathrm{x}−\mathrm{3}\mid\:+\:\mid\mathrm{x}−\mathrm{5}\mid}\:\:\:\Rightarrow\:\:\:\mathrm{max}\:=\:? \\ $$ Answered by Frix last updated on 02/May/24 $$\frac{\mathrm{120}}{{f}\left({x}\right)}\:\mathrm{is}\:\mathrm{max}\:\Rightarrow\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{min} \\ $$$$\mathrm{4}\leqslant\mid{x}−\mathrm{1}\mid+\mid{x}−\mathrm{3}\mid+\mid{x}−\mathrm{5}\mid \\ $$$$\Rightarrow\:\mathrm{Answer}\:\mathrm{is}\:\frac{\mathrm{120}}{\mathrm{4}}=\mathrm{30} \\…
Question Number 206971 by MATHEMATICSAM last updated on 02/May/24 $$\mathrm{Construct}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{whose}\:\mathrm{sine}\:\mathrm{is} \\ $$$$\frac{\mathrm{3}}{\mathrm{2}\:+\:\sqrt{\mathrm{5}}}\:. \\ $$ Answered by Rasheed.Sindhi last updated on 02/May/24 $$\mathrm{sin}\theta=\:\frac{\mathrm{3}}{\mathrm{2}\:+\:\sqrt{\mathrm{5}}} \\ $$$$\bullet\theta\:{is}\:{an}\:{angle}\:{of}\:{a}\:{right}\:{triangle} \\…
Question Number 206976 by mokys last updated on 02/May/24 $$\:{find}\:{the}\:{sum}\:{of}\::\:\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\:{e}^{−\mathrm{2}\lambda_{{i}} \:{t}} \\ $$ Commented by mr W last updated on 02/May/24 $${what}\:{are}\:{the}\:\lambda_{{i}} \:?…
Question Number 206956 by mr W last updated on 01/May/24 Commented by mr W last updated on 01/May/24 $${find}\:{the}\:{radius}\:{of}\:{circle}. \\ $$ Answered by Frix last…
Question Number 206924 by mr W last updated on 01/May/24 Commented by mr W last updated on 01/May/24 $${x},\:{y},\:{z}\:\in\:\mathbb{N} \\ $$ Answered by MATHEMATICSAM last…
Question Number 206958 by hardmath last updated on 01/May/24 $$\mathrm{If}\:\:\:\frac{\mathrm{1}}{\mathrm{3}^{−\boldsymbol{\mathrm{x}}} }\:=\:\mathrm{5}\:\:\:\mathrm{find}:\:\:\mathrm{9}^{\boldsymbol{\mathrm{x}}+\mathrm{1}} \:=\:? \\ $$ Answered by Frix last updated on 01/May/24 $$\mathrm{3}^{{x}} =\mathrm{5} \\ $$$$\left(\mathrm{3}^{{x}}…