Question Number 70519 by TawaTawa last updated on 05/Oct/19 Commented by mr W last updated on 05/Oct/19 $${B}+{D}=\mathrm{180}° \\ $$$$\frac{{B}}{{D}}=\frac{\mathrm{2}}{\mathrm{3}} \\ $$$${B}+\frac{\mathrm{3}}{\mathrm{2}}{B}=\mathrm{180} \\ $$$$\frac{\mathrm{5}}{\mathrm{2}}{B}=\mathrm{180} \\…
Question Number 70516 by TawaTawa last updated on 05/Oct/19 Commented by TawaTawa last updated on 05/Oct/19 ABCD and DEFK are squares DK=6cm A(BEK)=? Answered by mr W last updated on 05/Oct/19…
Question Number 136054 by azadsir last updated on 18/Mar/21 Commented by mr W last updated on 18/Mar/21 $${a}=\mathrm{log}_{{x}} \:{xyz}=\frac{\mathrm{1}}{\mathrm{log}_{{xyz}} \:{x}} \\ $$$$\Rightarrow\frac{\mathrm{1}}{{a}}=\mathrm{log}_{{xyz}} \:{x} \\ $$$$\Rightarrow\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=\mathrm{log}_{{xyz}}…
Question Number 70512 by abdusalamyussif@gmail.com last updated on 04/Oct/19 $$\mathrm{The}\:\mathrm{faculty}\:\mathrm{of}\:\mathrm{science}\:\mathrm{news}\:\mathrm{paper}\:\mathrm{reports}\:\mathrm{that}\:\mathrm{the}\:\mathrm{combined}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\:\mathrm{mathematics}\:\mathrm{club}\:\mathrm{and}\:\mathrm{science}\:\:\mathrm{club}\:\mathrm{is}\:\mathrm{122}\:\mathrm{students}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{total}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\mathrm{chemistry}\:\mathrm{club}? \\ $$ Commented by tw000001 last updated on 14/Oct/19 $$\mathrm{To}\:\mathrm{put}\:\mathrm{it}\:\mathrm{simply}, \\ $$$${n}\left({C}_{{M}} \:\cup{C}_{{S}} \right)=\mathrm{122} \\…
Question Number 70513 by naka3546 last updated on 05/Oct/19 Commented by naka3546 last updated on 05/Oct/19 $${x}\:=\:? \\ $$$${y}\:=\:? \\ $$$${without}\:\:{trigonometry}\:. \\ $$ Terms of…
Question Number 4973 by hung260677 last updated on 28/Mar/16 Answered by Rasheed Soomro last updated on 30/Mar/16 $$\frac{\mathrm{3}{x}^{\mathrm{2}} +{xy}−{y}^{\mathrm{2}} }{{x}+{y}}=\mathrm{9}\:\wedge\:\frac{\mathrm{2}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} {y}}{{x}+{y}}=\mathrm{20} \\ $$$$\Rightarrow\:{x}+{y}=\frac{\mathrm{3}{x}^{\mathrm{2}} +{xy}−{y}^{\mathrm{2}}…
Question Number 4971 by Rasheed Soomro last updated on 28/Mar/16 Commented by Rasheed Soomro last updated on 28/Mar/16 $${Write}\:{process}\:{also}. \\ $$ Commented by Rasheed Soomro…
Question Number 136040 by zakirullah last updated on 18/Mar/21 $$\:\:\:\:\:\:{find}\:{the}\:{smallest}\:{number}\:{which}\:{when}\:{we}\:{divide}\:{by}\:\mathrm{12},\mathrm{15},\mathrm{18},\:\mathrm{and}\:\mathrm{27}\:\mathrm{leaves}\:\mathrm{a}\:\mathrm{remainder} \\ $$$$\:\:\:\:\:\:\mathrm{of}\:\mathrm{8},\mathrm{11},\mathrm{14}\:\mathrm{and}\:\mathrm{23}\:\mathrm{respectively}? \\ $$ Answered by mr W last updated on 18/Mar/21 $${N}=\mathrm{27}{a}+\mathrm{23}=\mathrm{27}{a}+\mathrm{9}+\mathrm{14} \\ $$$$\mathrm{27}{a}+\mathrm{9}=\mathrm{18}{b}\:\Rightarrow\mathrm{3}{a}+\mathrm{1}=\mathrm{2}{b}\:\Rightarrow{a}=\mathrm{2}{c}+\mathrm{1}…
Question Number 4970 by Yozzii last updated on 28/Mar/16 $${Let}\:{sinh}^{−\mathrm{1}} \left({a}+{bi}\right)={c}+{di}\:{where}\:{a},{b},{c},{d}\in\mathbb{R}, \\ $$$${b}\neq\mathrm{0}\:{and}\:{i}=\sqrt{−\mathrm{1}}.\:{Find}\:{each}\:{of}\:{c}\:{and}\:{d}\:{in}\:{terms} \\ $$$${of}\:{a}\:{and}\:{b}.\:{For}\:{f}:\:{x}\mid\rightarrow{sinh}^{−\mathrm{1}} {x},\:{f}\:{is}\:{the}\: \\ $$$${arc},{hyperbolic}\:{sine}\:{function}. \\ $$ Terms of Service Privacy Policy…
Question Number 136043 by JulioCesar last updated on 18/Mar/21 Answered by rs4089 last updated on 18/Mar/21 $$\int{sec}^{\mathrm{8}} {x}.{dx} \\ $$$$\int\left(\mathrm{1}+{tan}^{\mathrm{2}} {x}\right)^{\mathrm{3}} {sec}^{\mathrm{2}} {x}.{dx} \\ $$$${tanx}={t}\:\Rightarrow{sec}^{\mathrm{2}}…