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Question Number 6786 by Rasheed Soomro last updated on 25/Jul/16 $${Three}\:{Arabs}\:{A},{B}\:{and}\:{C}\:{were}\:{traveling} \\ $$$${together}.\:{On}\:{the}\:{lunch}\:{time}\:{A}\:{and}\:\:{B} \\ $$$${produce}\:{m}\:{and}\:\:{n}\:{loaves}\:{of}\:{bread}\:{respectively} \\ $$$${for}\:{eating}\:{but}\:{C}\:{have}\:{no}\:{loaf}\:{of}\:{bread}.\:{All} \\ $$$${the}\:{three}\:{ate}\:{together}.\:\:{After}\:{completing} \\ $$$${lunch}\:{C}\:\:{gave}\:{A}\:{and}\:{B}\:{m}+{n}\:{darhams}. \\ $$$${How}\:{shoud}\:{they}\:{divide}\:{this}\:{sum}? \\ $$$$…
Question Number 137858 by Bekzod Jumayev last updated on 07/Apr/21 Commented by mr W last updated on 07/Apr/21 $${x}=\mathrm{20}° \\ $$ Commented by mr W…
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Question Number 72316 by mr W last updated on 27/Oct/19 $$\boldsymbol{\mathrm{T}{o}}\:\boldsymbol{{whom}}\:\boldsymbol{{it}}\:\boldsymbol{{may}}\:\boldsymbol{{concern}}! \\ $$$${To}\:{solve}\:{some}\:{of}\:{your}\:{questions},\:{I}\: \\ $$$${spent}\:{a}\:{lot}\:{of}\:{my}\:{time}\:{and}\:{gave}\:{much} \\ $$$${effort}\:{to}\:{prepare}\:{some}\:{diagrams}.\:{I} \\ $$$${did}'{t}\:{keep}\:{any}\:{backup}\:{for}\:{my}\:{answers} \\ $$$${and}\:{especially}\:{for}\:{the}\:{diagrams}\:{in}\:{my} \\ $$$${own}\:{device},\:{because}\:{I}\:{thought}\:{they}\: \\ $$$${were}\:{saved}\:{in}\:{the}\:{forum}.\:{Since}\:{you},…
Question Number 137848 by Bekzod Jumayev last updated on 07/Apr/21 $$\boldsymbol{{Solve}}\:\boldsymbol{{the}}\:\boldsymbol{{equation}} \\ $$$$\left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right)^{\mathrm{2}} +\left({y}^{\mathrm{2}} +{y}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{2021} \\ $$$$\boldsymbol{{x}},\boldsymbol{{y}}\in\boldsymbol{{Z}} \\ $$ Answered by mr W…
Question Number 6778 by Tawakalitu. last updated on 24/Jul/16 $${If}\:{two}\:{forces}\:{P}\:{and}\:{Q}\:{acting}\:{at}\:\mathrm{0}\:{are}\:{represented}\:{by}\:{line}\:{OA} \\ $$$${and}\:{OB}\:{with}\:\phi\:{being}\:{the}\:{angle}\:{between}\:{the}\:{two}\:{forces}\:. \\ $$$${find}\:{their}\:{resultant}\:{in}\:{R}\:{in}\:{terms}\:{of}\:{P} \\ $$ Commented by prakash jain last updated on 25/Jul/16 $$\mathrm{By}\:\mathrm{cosine}\:\mathrm{rule}…
Question Number 137851 by liberty last updated on 07/Apr/21 $${If}\:\mathrm{2}^{\mathrm{2sin}\:^{\mathrm{2}} \theta−\mathrm{3sin}\:\theta+\mathrm{1}} \:+\:\mathrm{2}^{\mathrm{2}−\mathrm{2sin}\:^{\mathrm{2}} \theta+\mathrm{3sin}\:\theta} \:=\:\mathrm{9} \\ $$$${find}\:{the}\:{value}\:{of}\:\mathrm{sin}\:\theta+\mathrm{cos}\:\theta\:. \\ $$ Answered by bobhans last updated on 07/Apr/21…
Question Number 6775 by Tawakalitu. last updated on 24/Jul/16 $$\int_{\mathrm{0}} ^{\infty} {e}^{{t}^{\mathrm{2}} } {e}^{−{st}} \:\:{dt} \\ $$$$ \\ $$$${please}\:{help} \\ $$ Answered by Yozzii last…
Question Number 6772 by Tawakalitu. last updated on 24/Jul/16 $${What}\:{is}\:{the}\:{smallest}\:{even}\:{number}\:{greater}\:{than}\:\mathrm{3}\:{that}\:{cannot} \\ $$$${be}\:{expressed}\:{as}\:{the}\:{sum}\:{of}\:{two}\:{prime}\:{numbers}\:? \\ $$ Commented by Yozzii last updated on 24/Jul/16 $${Let}\:{S}\:{be}\:{a}\:{set}\:{of}\:{n}\:{elements},\:{so}\:{that}\:\mid{S}\mid={n}\geqslant\mathrm{4}. \\ $$$${Let}\:{P}\:{be}\:{a}\:{partition}\:{of}\:{S}\:{into}\:{two}\:{sets} \\…