Question Number 183617 by Rasheed.Sindhi last updated on 27/Dec/22 $$\mathcal{H}{ow}\:{many}\:{artificially}\:{made}\:{weights}\:{are}\: \\ $$$$\boldsymbol{{required}}\:\left({minimally}\right)\:{to}\:{weigh} \\ $$$$\:\mathrm{2},\mathrm{4},\mathrm{6},…,\mathrm{80}\:{kg}\: \\ $$$${and}\:{what}\:{should}\:{be}\:{they}? \\ $$ Commented by Rasheed.Sindhi last updated on 27/Dec/22…
Question Number 183535 by HeferH last updated on 26/Dec/22 $${Who}\:{is}\:{greater}?\:\mathrm{70}^{\mathrm{71}} \:{or}\:\:\mathrm{71}^{\mathrm{70}} \\ $$ Answered by Frix last updated on 26/Dec/22 $$\mathrm{1}^{\mathrm{2}} <\mathrm{2}^{\mathrm{1}} \\ $$$$\mathrm{2}^{\mathrm{3}} <\mathrm{3}^{\mathrm{2}}…
Question Number 183485 by Gamil last updated on 26/Dec/22 $$\:\boldsymbol{\mathrm{L}}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}\boldsymbol{\mathrm{sin}}\:\boldsymbol{\mathrm{x}}\:−\mathrm{2}\boldsymbol{\mathrm{tan}}\:\boldsymbol{\mathrm{x}}\:+\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\mathrm{6}\boldsymbol{\mathrm{x}}−\mathrm{2}\boldsymbol{\mathrm{sin}}\:\mathrm{3}\boldsymbol{\mathrm{x}}\:−\mathrm{9}\boldsymbol{\mathrm{x}}^{\mathrm{3}} } \\ $$$$\:\:\boldsymbol{\mathrm{L}}=\:\frac{\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}\boldsymbol{\mathrm{sin}}\:\boldsymbol{\mathrm{x}}\:−\mathrm{2}\boldsymbol{\mathrm{tan}}\:\boldsymbol{\mathrm{x}}\:+\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\boldsymbol{\mathrm{x}}^{\mathrm{5}} }}{\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{6}\boldsymbol{\mathrm{x}}−\mathrm{2}\boldsymbol{\mathrm{sin}}\:\mathrm{3}\boldsymbol{\mathrm{x}}\:−\mathrm{9}\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\boldsymbol{\mathrm{x}}^{\mathrm{5}} }}\:=\:\frac{\boldsymbol{\mathrm{L}}_{\mathrm{1}} }{\boldsymbol{\mathrm{L}}_{\mathrm{2}} } \\ $$…
Question Number 117818 by snipers237 last updated on 13/Oct/20 $$\:{let}\:{ABC}\:\:{be}\:{a}\:{triangle}\:{AB}={c}\:\:{AC}={b}\:\:{BC}={a} \\ $$$${Show}\:{that}\:{ABC}\:{is}\:{right}\:\Leftrightarrow\:\:{tan}\left(\frac{{B}}{\mathrm{2}}\right)=\frac{{a}+{c}}{{b}}\: \\ $$ Commented by 1549442205PVT last updated on 14/Oct/20 $$\mathrm{Question}\:\mathrm{is}'\mathrm{nt}\:\mathrm{exact}.\mathrm{Example},\Delta\mathrm{ABC} \\ $$$$\mathrm{A}=\mathrm{90}° \\…
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Question Number 183263 by Engr_Jidda last updated on 24/Dec/22 $${Derive}\:{the}\:{formular}\:{that}\:{can}\:{be}\:{used}\: \\ $$$${to}\:{count}\:{the}\:{number}\:{of}\:{dissimilar}\:{surds} \\ $$$${obtaining}\:{after}\:{full}\:{expansion}\:{of} \\ $$$$\left(\sum_{{x}=\mathrm{1}} ^{{n}} \sqrt{{x}}\right)^{\mathrm{4}} \:{where}\:{every}\:{x}\:{term}\:{is}\:{a}\:{prime}\:{number}. \\ $$ Commented by mr W…
Question Number 183236 by a.lgnaoui last updated on 23/Dec/22 $${dererminer}\:\:{la}\:{valeur}\:{x}? \\ $$ Commented by a.lgnaoui last updated on 23/Dec/22 Commented by mr W last updated…
Question Number 117641 by bemath last updated on 13/Oct/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\:\sqrt{\mathrm{6}−\mathrm{x}}\:>\:\mathrm{x}−\mathrm{4} \\ $$ Answered by Don08q last updated on 13/Oct/20 $$\left(\mathrm{6}−{x}\right)\:>\:\left({x}−\mathrm{4}\right)^{\mathrm{2}} \:{or}\:\left(\mathrm{6}−{x}\right)\:<\:\left({x}−\mathrm{4}\right)^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:{when}\:\:\mathrm{6}\:−\:{x}\:>\:{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{16} \\…
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Question Number 51649 by byaw last updated on 29/Dec/18 $$\mathrm{It}\:\mathrm{takes}\:\mathrm{man}\:\mathrm{A}\:\mathrm{6}\:\mathrm{days}\:\mathrm{to}\:\mathrm{a}\:\mathrm{piece}\:\mathrm{of} \\ $$$$\mathrm{work}.\:\mathrm{It}\:\mathrm{takes}\:\mathrm{man}\:\mathrm{B}\:\mathrm{4}\:\mathrm{days}\:\mathrm{to}\:\mathrm{do}\: \\ $$$$\mathrm{the}\:\mathrm{same}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}.\:\mathrm{How}\:\mathrm{many} \\ $$$$\mathrm{days}\:\mathrm{will}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{take}\:\mathrm{to}\:\mathrm{do}\:\mathrm{the} \\ $$$$\mathrm{same}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…