Question Number 61762 by mr W last updated on 08/Jun/19 Commented by mr W last updated on 08/Jun/19 $$\left({see}\:{also}\:{Q}\mathrm{61612}\right) \\ $$$${Find}\:{the}\:{relation}\:{between}\:{h},\:{d}\:{and}\:{L} \\ $$$${of}\:{a}\:{hanging}\:{rope}. \\ $$…
Question Number 192828 by Ari last updated on 28/May/23 Commented by Ari last updated on 28/May/23 Can we find the side x in the problem given in the figure? Answered by MM42 last updated on 28/May/23 $${cosE}=\frac{\mathrm{25}+\mathrm{64}−\mathrm{49}}{\mathrm{2}×\mathrm{5}×\mathrm{8}}=\frac{\mathrm{40}}{\mathrm{80}}=\frac{\mathrm{1}}{\mathrm{2}}…
Question Number 192819 by cherokeesay last updated on 28/May/23 Answered by a.lgnaoui last updated on 28/May/23 $$\bigtriangleup\mathrm{PBM}\:\:\mathrm{recrangle}\:\mathrm{en}\:\mathrm{B} \\ $$$$\measuredangle\mathrm{PMB}=\lambda \\ $$$$\bigtriangleup\mathrm{MAD}\:\:\mathrm{MA}=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{AD}\Rightarrow\measuredangle\mathrm{AMD}=\measuredangle\mathrm{MDC}=\frac{\pi}{\mathrm{3}} \\ $$$$\mathrm{MD}=\sqrt{\mathrm{AD}^{\mathrm{2}} +\left(\frac{\mathrm{AD}}{\mathrm{2}}\right)^{\mathrm{2}} }=\frac{\mathrm{AD}\sqrt{\mathrm{5}}}{\mathrm{2}}\:\:\left(\mathrm{AD}=\mathrm{AB}\right)…
Question Number 61733 by ajfour last updated on 07/Jun/19 $${Find}\:{the}\:{maximum} \\ $$$${volume}\:{tetrahedron}\:{inside}\:{an} \\ $$$${ellipsoid},\:{parameters}\:\boldsymbol{{a}},\boldsymbol{{b}},\boldsymbol{{c}}\:. \\ $$ Commented by ajfour last updated on 07/Jun/19 Terms of…
Question Number 192704 by Mingma last updated on 25/May/23 Answered by HeferH last updated on 25/May/23 Commented by HeferH last updated on 25/May/23 $$\mathrm{12}+\mathrm{12}\sqrt{\mathrm{3}}−{x}\:=\mathrm{24} \\…
Question Number 61612 by Tawa1 last updated on 05/Jun/19 Commented by MJS last updated on 05/Jun/19 $$\mathrm{a}\:\mathrm{hanging}\:\mathrm{rope}\:\mathrm{forms} \\ $$$${y}={a}\mathrm{cosh}\:\frac{{x}}{{a}} \\ $$$$\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{the}\:\mathrm{towers}\:\:\mathrm{at}\:{x}=\pm\frac{{d}}{\mathrm{2}} \\ $$ Commented by…
Question Number 61569 by Tawa1 last updated on 04/Jun/19 Commented by tanmay last updated on 04/Jun/19 Commented by tanmay last updated on 04/Jun/19 $$\angle{CDP}={x}\:\:\angle{EDP}=\mathrm{26} \\…
Question Number 61559 by Tawa1 last updated on 04/Jun/19 Commented by Tawa1 last updated on 04/Jun/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pink} \\ $$ Answered by ajfour last updated on…
Question Number 61554 by ajfour last updated on 04/Jun/19 Commented by ajfour last updated on 04/Jun/19 $${Find}\:{a},{b},\:{and}\:{s}. \\ $$ Answered by MJS last updated on…
Question Number 61521 by necx1 last updated on 03/Jun/19 Answered by ajfour last updated on 04/Jun/19 Commented by ajfour last updated on 04/Jun/19 $${FB}\:{line}=\frac{{b}}{\mathrm{4}}+\lambda\left({a}−\frac{{b}}{\mathrm{4}}\right) \\…