Question Number 25273 by Bhanu Mittal last updated on 07/Dec/17 $$\mathrm{If}\:\:{x},\:{y},\:{z}\:\mathrm{are}\:\mathrm{in}\:\mathrm{HP},\:\mathrm{then}\: \\ $$$$\mathrm{log}\:\left({x}+{z}\right)+\mathrm{log}\:\left({x}−\mathrm{2}{y}+{z}\right)\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 25172 by yuvasuprith07@gmail.com last updated on 05/Dec/17 $$\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{quadratic}\:\:\mathrm{equation}\: \\ $$$${x}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{304}=\mathrm{0}\:\mathrm{are}\:\alpha\:\mathrm{and}\:\beta,\:\mathrm{then}\:\mathrm{the} \\ $$$$\mathrm{quadratic}\:\mathrm{equation}\:\mathrm{with}\:\mathrm{roots}\:\mathrm{3}\alpha\:\mathrm{and} \\ $$$$\mathrm{3}\beta\:\mathrm{is} \\ $$ Answered by ajfour last updated on…
Question Number 90628 by Josephbaraka@gmail.com last updated on 25/Apr/20 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\mathrm{sin}\:\frac{\pi}{\mathrm{14}}\:\mathrm{sin}\:\frac{\mathrm{3}\pi}{\mathrm{14}}\:\mathrm{sin}\:\frac{\mathrm{5}\pi}{\mathrm{14}}\:\:\mathrm{is} \\ $$ Commented by jagoll last updated on 25/Apr/20 $${x}\:=\:\frac{\pi}{\mathrm{14}}\:\Rightarrow\mathrm{7}{x}\:=\:\frac{\pi}{\mathrm{2}} \\ $$$${w}\:=\:\mathrm{sin}\:{x}\:\mathrm{sin}\:\mathrm{3}{x}\:\mathrm{sin}\:\mathrm{5}{x} \\ $$$$\mathrm{2}{w}\:\mathrm{cos}\:{x}\:=\:\mathrm{sin}\:\mathrm{2}{x}\:\mathrm{sin}\:\mathrm{5}{x}\:\mathrm{sin}\:\mathrm{3}{x} \\…
Question Number 90629 by Josephbaraka@gmail.com last updated on 25/Apr/20 $$\mathrm{If}\:\:\:\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{1}−{x}\right)−\mathrm{2}\:\mathrm{sin}^{−\mathrm{1}} {x}\:=\:\frac{\pi}{\mathrm{2}},\:\mathrm{then}\:{x}= \\ $$ Commented by jagoll last updated on 25/Apr/20 $${let}\:\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{1}−{x}\right)\:=\:{y} \\ $$$$\mathrm{1}−{x}\:=\:\mathrm{sin}\:{y}\:\Rightarrow{x}\:=\:\mathrm{1}−\mathrm{sin}\:{y}…
Question Number 25076 by Mr easy last updated on 03/Dec/17 $$\mathrm{A}\:\mathrm{man}\:\mathrm{can}\:\mathrm{row}\:\mathrm{6}\:\mathrm{km}/\mathrm{h}\:\mathrm{in}\:\mathrm{still}\:\mathrm{water}. \\ $$$$\mathrm{When}\:\mathrm{the}\:\mathrm{river}\:\mathrm{is}\:\mathrm{running}\:\mathrm{at}\:\mathrm{1}.\mathrm{2}\:\mathrm{km}/\mathrm{h}, \\ $$$$\left.\mathrm{it}\:\mathrm{takes}\right]\mathrm{him}\:\mathrm{1}\:\mathrm{hour}\:\mathrm{to}\:\mathrm{row}\:\mathrm{to}\:\mathrm{a}\:\mathrm{place}\: \\ $$$$\mathrm{and}\:\mathrm{back}.\:\mathrm{How}\:\mathrm{far}\:\mathrm{is}\:\mathrm{the}\:\mathrm{place}? \\ $$ Answered by mrW1 last updated on…
Question Number 25075 by Mr easy last updated on 03/Dec/17 $$\mathrm{Let}\:{z}_{\mathrm{1}} \mathrm{and}\:{z}_{\mathrm{2}} \:\mathrm{be}\:\mathrm{two}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$${z}^{\mathrm{2}} +{az}+{b}=\mathrm{0},\:{z}\:\mathrm{being}\:\mathrm{complex}.\:\mathrm{Further} \\ $$$$\mathrm{assume}\:\mathrm{that}\:\mathrm{the}\:\mathrm{origin},\:{z}_{\mathrm{1}} \:\mathrm{and}\:{z}_{\mathrm{2}} \:\mathrm{form} \\ $$$$\mathrm{an}\:\mathrm{equilateral}\:\mathrm{triangle}.\:\mathrm{Then}, \\ $$ Answered…
Question Number 90535 by 1223 last updated on 24/Apr/20 $$\mathrm{In}\:\mathrm{a}\:\mathrm{triangle}\:{ABC},\:{a}\left({b}\:\mathrm{cos}\:{C}−{c}\:\mathrm{cos}\:{B}\right)= \\ $$ Answered by $@ty@m123 last updated on 24/Apr/20 $${a}\left({b}×\frac{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −{c}^{\mathrm{2}} }{\mathrm{2}{ab}}−{c}×\frac{{c}^{\mathrm{2}} +{a}^{\mathrm{2}} −{b}^{\mathrm{2}}…
Question Number 24998 by anuj saini last updated on 30/Nov/17 $$\mathrm{A}\:\mathrm{fair}\:\mathrm{coin}\:\mathrm{is}\:\mathrm{tossed}\:\mathrm{100}\:\mathrm{times}.\:\mathrm{The} \\ $$$$\mathrm{probability}\:\mathrm{of}\:\mathrm{getting}\:\mathrm{tails}\:\mathrm{an}\:\mathrm{odd} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{times}\:\mathrm{is} \\ $$ Commented by Penguin last updated on 01/Dec/17 $${attempt}?…
Question Number 24974 by kawsar ahmed last updated on 30/Nov/17 $$\mathrm{If}\:\:\frac{{x}^{\mathrm{23}} }{{x}^{{m}} }\:=\:{x}^{\mathrm{15}} \:\mathrm{and}\:\left({x}^{\mathrm{4}} \right)^{{n}} ={x}^{\mathrm{20}} ,\:\mathrm{then}\:{mn}= \\ $$ Answered by nnnavendu last updated on…
Question Number 155914 by jlewis last updated on 05/Oct/21 $${D}\mathrm{raw}\:\mathrm{the}\:\mathrm{Newman}\:\mathrm{projection}\:\mathrm{formula} \\ $$$$\mathrm{for}\:\mathrm{the}\:\mathrm{chair}\:\mathrm{conformation}\:\:\mathrm{of}\:\mathrm{cyclohexanol} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com