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Question Number 72595 by zillnehu@gmail.com last updated on 30/Oct/19 $$\left(\alpha+\beta\right)^{\mathrm{2}} \:=\:\alpha^{\mathrm{2}} \:+\:\mathrm{2}\alpha\beta\:+\:\beta^{\mathrm{2}\:} \\ $$ Commented by ajfour last updated on 30/Oct/19 $${according}\:{to}\:{new}\:{research}.. \\ $$ Commented…

Question-72579

Question Number 72579 by TawaTawa last updated on 30/Oct/19 Answered by mind is power last updated on 30/Oct/19 $$\mathrm{CF}.\mathrm{AD}=\mathrm{DC}.\mathrm{AE}=\mathrm{AB}.\mathrm{AE} \\ $$$$\Rightarrow\mathrm{AD}=\frac{\mathrm{16}.\mathrm{8}}{\mathrm{10}}=\frac{\mathrm{64}}{\mathrm{5}}=\mathrm{12}.\mathrm{8cm} \\ $$$$\left.\mathrm{2}\right)\mathrm{ar}\left(\mathrm{ABCD}\right)=\mathrm{DC}.\mathrm{AD}.\mathrm{sin}\left(\angle\mathrm{CDA}\right) \\ $$$$\mathrm{ar}\left(\mathrm{EFGH}\right)=\mathrm{ar}\left(\mathrm{ABCD}\right)−\mathrm{ar}\left(\mathrm{EBF}\right)−\mathrm{ar}\left(\mathrm{FCG}\right)−\mathrm{ar}\left(\mathrm{GDH}\right)−\mathrm{ar}\left(\mathrm{DHE}\right)…

if-the-lcm-and-gcf-of-three-numbers-are-360-and-6-other-numbers-are-18-and-60-Find-the-third-number-I-need-help-plz-

Question Number 72526 by liki last updated on 30/Oct/19 $${if}\:{the}\:{lcm}\:{and}\:{gcf}\:{of}\:{three}\:{numbers} \\ $$$$\:{are}\:\mathrm{360}\:{and}\:\mathrm{6},{other}\:{numbers}\:{are}\:\mathrm{18}\: \\ $$$$\:{and}\:\mathrm{60}.{Find}\:{the}\:{third}\:{number}. \\ $$$$\:\:\:\:\:\:\:\:…\:{I}\:{need}\:{help}\:{plz}… \\ $$ Commented by TawaTawa last updated on 30/Oct/19…

Karanja-and-Ouma-can-do-a-certain-job-in-6-days-Karanja-alone-can-do-the-work-in-5-days-more-than-Ouma-How-many-days-can-Karanja-take-to-do-the-job-alone-

Question Number 72498 by Mr Jor last updated on 29/Oct/19 $${Karanja}\:{and}\:{Ouma}\:{can}\:{do}\:{a}\: \\ $$$${certain}\:{job}\:{in}\:\mathrm{6}\:{days}.\:{Karanja}\: \\ $$$${alone}\:{can}\:{do}\:{the}\:{work}\:{in}\:\mathrm{5}\:{days} \\ $$$${more}\:{than}\:{Ouma}.\:{How}\:{many}\: \\ $$$${days}\:{can}\:{Karanja}\:{take}\:{to}\:{do}\:{the} \\ $$$${job}\:{alone}? \\ $$ Answered by…

Hello-find-finde-0-ln-x-x-2-ax-b-dx-conditions-a-2-lt-4b-in-therm-of-x-1-x-2-root-of-X-2-aX-b-hint-Residus-theorem-applied-too-log-2-z-z-2-az-b-this-is-very-usufull-

Question Number 72430 by mind is power last updated on 28/Oct/19 $$\mathrm{Hello}\:\mathrm{find} \\ $$$$\mathrm{finde}\:\:\int_{\mathrm{0}} ^{+\infty} \frac{\mathrm{ln}\left(\mathrm{x}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{ax}+\mathrm{b}}\mathrm{dx} \\ $$$$\mathrm{conditions}\:\mathrm{a}^{\mathrm{2}} <\mathrm{4b}\:\:\: \\ $$$$\mathrm{in}\:\mathrm{therm}\:\mathrm{of}\:\mathrm{x}_{\mathrm{1}} ,\mathrm{x}_{\mathrm{2}} \:\:\mathrm{root}\:\mathrm{of}\:\mathrm{X}^{\mathrm{2}} +\mathrm{aX}+\mathrm{b}\:…