Category: Arithmetic

Question Number 118448 by peter frank last updated on 17/Oct/20 Answered by Olaf last updated on 17/Oct/20 $$\mathrm{A}=\pi \times 7^2-2{\int }_{-7}^{+7}(7-\sqrt{49-x^2})dx$$$$\mathrm{A}\:=\:\mathrm{49}\pi−\mathrm{4}\int_{\mathrm{0}} ^{+\mathrm{7}}…

Question Number 183646 by Rasheed.Sindhi last updated on 28/Dec/22 $$\mathcal{H}owmanyartificiallymadeweightsare$$$$\mathit{r}\mathit{e}\mathit{q}\mathit{u}\mathit{i}\mathit{r}\mathit{e}\mathit{d}\left(minimally\right)toweigh$$$$1,3,5,\dots ,79kg$$$$andwhatshouldbethey?$$ Commented by Rasheed.Sindhi last updated on 28/Dec/22…

Question Number 183535 by HeferH last updated on 26/Dec/22 $$Whoisgreater?{70}^{71}or{71}^{70}$$ Answered by Frix last updated on 26/Dec/22 $$1^2<2^1$$$$\mathrm{2}^{\mathrm{3}} <\mathrm{3}^{\mathrm{2}}…

Question Number 117818 by snipers237 last updated on 13/Oct/20 $$letABCbeatriangleAB=cAC=bBC=a$$$$ShowthatABCisright\iff tan\left(\frac{B}{2}\right)=\frac{a+c}{b}$$ Commented by 1549442205PVT last updated on 14/Oct/20 $$\mathrm{Question}{\mathrm{is}}^{\prime }\mathrm{nt}\mathrm{exact}.\mathrm{Example},\mathrm{\Delta }\mathrm{ABC}$$$$\mathrm{A}=\mathrm{90}° \…

Question Number 183263 by Engr_Jidda last updated on 24/Dec/22 $$Derivetheformularthatcanbeused$$$$tocountthenumberofdissimilarsurds$$$$obtainingafterfullexpansionof$$$${\left(\sum _{x=1}^n\sqrt{x}\right)}^{4}whereeveryxtermisaprimenumber.$$ Commented by mr W…