Category: Algebra

Question Number 139943 by mathsuji last updated on 02/May/21 $$Thetrainismovingataspeedof12m/san.$$$$Inthiscose,itseemstothepassenger$$$$inthecarthatthedirectionofthe$$$$raindropsisatanangleof30degrees$$$$tothevertical.Findtheaverage$$$$speedofraindrops.$$ Terms of Service…

Question Number 139918 by mathsuji last updated on 02/May/21 $$1+cos2°+cos4°+cos6°+\dots +cos88°$$ Answered by mr W last updated on 02/May/21 $$\underset{{k}=\mathrm{0}} {\overset{\mathrm{44}} {\sum}}\left(\mathrm{cos}\:\frac{\mathrm{2}{k}\pi}{\mathrm{180}}+{i}\:\mathrm{sin}\:\frac{\mathrm{2}{k}\pi}{\mathrm{180}}\right)=\underset{{k}=\mathrm{0}} {\overset{\mathrm{44}} {\sum}}{e}^{\frac{\mathrm{2}{k}\pi}{\mathrm{180}}{i}}…

Question Number 8828 by tawakalitu last updated on 30/Oct/16 $$\mathrm{If}\mathrm{the}\mathrm{third}\mathrm{common}\mathrm{multiple}\mathrm{of}\mathrm{two}\mathrm{number}$$$$\mathrm{is}495.\mathrm{Find}$$$$\left(\mathrm{a}\right)\mathrm{their}\mathrm{LCM}$$$$\left(\mathrm{b}\right)\mathrm{the}\mathrm{second}\mathrm{number}\mathrm{if}\mathrm{one}\mathrm{is}15$$ Commented by Rasheed Soomro last updated on…

Question Number 74339 by ajfour last updated on 22/Nov/19 $$x^3+{ax}^2+bx+c=0$$$$Letx=\frac{pt+q}{t+1}$$$$p^3{t}^3+3p^2{qt}^2+3{pq}^{2}t+q^3$$$$+{a}\left({t}+\mathrm{1}\right)\left({p}^{\mathrm{2}} {t}^{\mathrm{2}} +\mathrm{2}{pqt}+{q}^{\mathrm{2}}…

Question Number 139861 by mathdanisur last updated on 01/May/21 $$\sqrt[3]{2\mathit{z}+1}+\sqrt[5]{8\mathit{z}+4}=\sqrt{16}$$ Answered by mindispower last updated on 01/May/21 $$z=\frac{7}{2},solution$$$$over\mathbb{R}$$$${f}\left({z}\right)=\sqrt[{\mathrm{3}}]{\mathrm{2}{z}+\mathrm{1}}+\sqrt[{\mathrm{5}}]{\mathrm{8}{z}+\mathrm{4}}\:{is}\:{increase}\:{function} \…