Question Number 198062 by NANIGOPAL last updated on 09/Oct/23 Commented by mr W last updated on 10/Oct/23 $${equality}\:−\mathrm{2}\:{can}\:{not}\:{hold}! \\ $$$${equality}\:\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{2}}\:{holds}\:{at}\:{A}={B}=\mathrm{20}°,\:{C}=\mathrm{140}°. \\ $$$$−\mathrm{2}<\mathrm{sin}\:\mathrm{3}{A}+\mathrm{sin}\:\mathrm{3}{B}+\mathrm{sin}\:\mathrm{3}{C}\leqslant\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$ Terms…
Question Number 198063 by mr W last updated on 10/Oct/23 $${solve}\:{for}\:{x},\:{y}\:\in{R} \\ $$$$\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{1}}+\sqrt{{y}^{\mathrm{2}} −\mathrm{6}{y}+\mathrm{9}}+\sqrt{{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{4}}+\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}}=\mathrm{4} \\ $$ Answered by witcher3 last updated…
Question Number 198059 by a.lgnaoui last updated on 09/Oct/23 $$\mathrm{Montrer}\:\mathrm{l}\:\mathrm{egalite}\:\:\left(\mathrm{voir}\:\mathrm{la}\:\mathrm{figure}\:\right) \\ $$ Commented by a.lgnaoui last updated on 09/Oct/23 Answered by mr W last updated…
Question Number 198052 by Mastermind last updated on 09/Oct/23 Answered by Sutrisno last updated on 09/Oct/23 $${x}={asin}\theta\:\Rightarrow\:{dx}={acos}\theta{d}\theta \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{6}}} {a}^{\mathrm{2}} {sin}^{\mathrm{2}} \theta\left({a}^{\mathrm{2}} −{a}^{\mathrm{2}} {sin}^{\mathrm{2}}…
Question Number 198054 by necx122 last updated on 09/Oct/23 $${In}\:\bigtriangleup{MNO},\:{MN}=\mathrm{6}{units},\:{MO}=\mathrm{4}\:{units} \\ $$$${and}\:{NO}=\mathrm{12}\:{units}.\:{If}\:{the}\:{bisector}\:{of}\:{the} \\ $$$${angle}\:{M}\:{meets}\:{NO}\:{at}\:{P},\:{calculate}\:{NP}. \\ $$ Commented by som(math1967) last updated on 09/Oct/23 $${But}\:{MN}+{MO}=\mathrm{10} \\…
Question Number 198050 by akolade last updated on 09/Oct/23 Answered by mr W last updated on 10/Oct/23 $$\mathrm{2}^{{x}} =\mathrm{3}^{{y}} ={k},\:{say} \\ $$$$\Rightarrow{x}=\frac{\mathrm{log}\:{k}}{\mathrm{log}\:\mathrm{2}},\:{y}=\frac{\mathrm{log}\:{k}}{\mathrm{log}\:\mathrm{3}} \\ $$$$\frac{\mathrm{2}×\mathrm{log}\:\mathrm{2}+\mathrm{3}×\mathrm{log}\:\mathrm{3}}{\mathrm{log}\:{k}}=\mathrm{1} \\…
Question Number 198040 by akolade last updated on 08/Oct/23 $$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 198036 by mathlove last updated on 08/Oct/23 $${if}\:{A}\boldsymbol{\div}\mathrm{6}\:{reminder}\:{is}\:\mathrm{4}\:{and}\:{B}\boldsymbol{\div}\mathrm{6} \\ $$$${reminder}\:{is}\:\mathrm{5}\:{then}\:\left({A}+{B}\right)\boldsymbol{\div}\mathrm{6} \\ $$$${reminder}\:{is}\:? \\ $$ Answered by AST last updated on 08/Oct/23 $${A}\overset{\mathrm{6}} {\equiv}\mathrm{4},{B}\overset{\mathrm{6}}…
Question Number 198039 by universe last updated on 08/Oct/23 Answered by MathematicalUser2357 last updated on 09/Oct/23 $${f}\left({n}\right)=\mathrm{GreatestInteger}\left(\sqrt{{n}}+\frac{\mathrm{1}}{\mathrm{2}}\right) \\ $$$$\mathrm{According}\:\mathrm{to}\:\mathrm{my}\:\mathrm{function}\:\mathrm{graph},\:\mathrm{term}\rightarrow\mathrm{3} \\ $$ Terms of Service Privacy…
Question Number 198032 by cortano12 last updated on 08/Oct/23 $$\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{4025x}}}\:\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}}}\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\mathrm{1}}}\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\mathrm{2}}\:}\:+…\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{4025x}}}\:\right)=? \\ $$ Commented by universe last updated on 08/Oct/23 $$\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{4025}}}×\frac{\mathrm{1}}{{x}}\underset{{r}=\mathrm{0}} {\overset{\mathrm{4024}{x}} {\sum}}\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{r}/{x}}} \\…