Question Number 144446 by mathdanisur last updated on 25/Jun/21 Answered by Rasheed.Sindhi last updated on 26/Jun/21 $$\mathrm{2}{sin}\left({A}+\mathrm{60}\right){sin}\left({B}+\mathrm{60}\right){cosC} \\ $$$$\:\:\:\:\:\:\:\:={sin}^{\mathrm{2}} \left({C}+\mathrm{60}\right) \\ $$$${A}=\mathrm{180}−\left({B}+{C}\right) \\ $$$${sin}\left({A}+\mathrm{60}\right)={sin}\left(\:\mathrm{180}−\left({B}+{C}\right)\:\right) \\…
Question Number 144424 by Engr_Jidda last updated on 25/Jun/21 $${make}\:{c}\:{the}\:{subject}\:{in}\:{S}=\frac{\mathrm{1}}{\mathrm{2}\left({a}+{b}+{c}\right)} \\ $$ Answered by ajfour last updated on 25/Jun/21 $$\:{c}=−\left({a}+{b}\right)\:\:\: \\ $$$${or}\:\:{c}=\frac{\mathrm{1}}{\mathrm{2}{S}}−\left({a}+{b}\right) \\ $$ Answered…
Question Number 144421 by loveineq last updated on 25/Jun/21 $$\mathrm{Let}\:{a},{b},{c}\:>\:\mathrm{0}\:\mathrm{and}\:{a}+{b}+{c}\:=\:\mathrm{3}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{{a}^{\mathrm{2021}} +{b}^{\mathrm{2021}} +{c}^{\mathrm{2021}} }{\mathrm{3}}\:\geqslant\:\mathrm{1}+\frac{\mathrm{4042}}{\mathrm{3}}\left(\mathrm{1}−\frac{{ab}+{bc}+{ca}}{\mathrm{3}}\right)\:\:\:\:\:\:\:\:\:\:\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 144422 by Engr_Jidda last updated on 25/Jun/21 $${make}\:{n}\:{the}\:{subject}\:{of}\:{the}\:{formular} \\ $$$${if}\:{A}={p}\left(\mathrm{1}+\frac{{r}}{\mathrm{100}}\right)^{{n}} \\ $$ Answered by MJS_new last updated on 25/Jun/21 $${A}={p}\left(\mathrm{1}+\frac{{r}}{\mathrm{100}}\right) \\ $$$$\frac{{A}}{{p}}=\left(\mathrm{1}+\frac{{r}}{\mathrm{100}}\right)^{{n}} \\…
Question Number 13349 by tawa tawa last updated on 19/May/17 Answered by ajfour last updated on 19/May/17 $${for}\:{x}\neq\frac{\mathrm{2}}{{a}}\:,{we}\:{have} \\ $$$$\mathrm{24}{x}^{\mathrm{2}} +\mathrm{25}{x}−\mathrm{47}=−\left({ax}−\mathrm{2}\right)\left(\mathrm{8}{x}+\mathrm{3}\right)−\mathrm{53} \\ $$$$\mathrm{24}{x}^{\mathrm{2}} +\mathrm{25}{x}−\mathrm{47}=−\mathrm{8}{ax}^{\mathrm{2}} +\left(\mathrm{16}−\mathrm{3}{a}\right){x}+\mathrm{6}−\mathrm{53}…
Question Number 13345 by tawa tawa last updated on 19/May/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 78877 by M±th+et£s last updated on 21/Jan/20 $${if}\:\:\:\frac{{sin}\left({A}\right)}{{sin}\left({B}\right)}=\frac{{sin}\left({D}\right)}{{sin}\left({C}\right)} \\ $$$${and}\:{A}+{B}={C}+{D} \\ $$$$ \\ $$$${then}\:{prove}\:{that}\:\: \\ $$$${A}+{B}=\mathrm{180} \\ $$$${C}+{D}=\mathrm{180} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$ Commented…
Question Number 144408 by mathdanisur last updated on 25/Jun/21 $$\boldsymbol{{lg}}\left(\mathrm{2}\right)=\boldsymbol{{x}} \\ $$$$\boldsymbol{{lg}}\left(\mathrm{7}\right)=\boldsymbol{{y}} \\ $$$$\boldsymbol{{lg}}_{\mathrm{5}} \left(\mathrm{9},\mathrm{8}\right)=? \\ $$ Answered by liberty last updated on 25/Jun/21 $$\:\begin{cases}{\mathrm{log}\:_{\mathrm{10}}…
Question Number 13333 by mrW1 last updated on 19/May/17 $${About}\:{the}\:{solution}\:{to}\:{question}: \\ $$$${For}\:{a},{b},{c}>\mathrm{0}\:{and}\:{abc}=\mathrm{1},\:{prove} \\ $$$${a}^{{b}+{c}} {b}^{{c}+{a}} {c}^{{a}+{b}} \leqslant\mathrm{1} \\ $$$$ \\ $$$${Way}\:\mathrm{1}: \\ $$$${Let}'{s}\:{say}\:{a}\leqslant{b}\leqslant{c}. \\ $$$${We}\:{can}\:{prove}\:{that}\:{a}\leqslant\mathrm{1}:…
Question Number 13328 by Nayon last updated on 18/May/17 $${Can}\:{we}\:{define}\:{factorial}\:{for}\:{any}\: \\ $$$${real}\:{number}??? \\ $$ Answered by prakash jain last updated on 18/May/17 $${x}!=\Gamma\left({x}+\mathrm{1}\right),\:{x}\in\mathbb{R} \\ $$$$…