Question Number 27422 by Rasheed.Sindhi last updated on 06/Jan/18 $$\mathrm{A},\mathrm{B},\mathrm{C}\:\&\:\mathrm{D}\:\mathrm{are}\:\mathrm{four}\:\mathrm{distinct}\:\mathrm{points}\: \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{in}\:\mathrm{such}\:\mathrm{a}\:\mathrm{way}\:\mathrm{that}\:\mathrm{chords} \\ $$$$\mathrm{AB}\:\&\:\mathrm{CD}\:\mathrm{cut}\:\mathrm{each}\:\mathrm{other}\:\mathrm{inside} \\ $$$$\mathrm{the}\:\mathrm{circle}\:\mathrm{at}\:\mathrm{the}\:\mathrm{point}\:\mathrm{E}.\:\mathrm{Consequently} \\ $$$$\mathrm{the}\:\mathrm{circle}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{in}\:\mathrm{four}\:\mathrm{parts} \\ $$$$\left(\mathrm{AEC},\mathrm{CEB},\mathrm{BED}\:\&\:\mathrm{DEA}\right). \\ $$$$\left[\mathrm{AEC}\:\mathrm{means}\:\:\mathrm{the}\:\mathrm{region}\:\mathrm{outlined}\:\:\right. \\ $$$$\left.\mathrm{by}\:\overset{\frown} {\mathrm{AC}},\overline…
Question Number 158472 by ajfour last updated on 04/Nov/21 Commented by ajfour last updated on 05/Nov/21 $${Find}\:{p}\left({q}\right).\:{Given}\:\bigtriangleup\:{sides} \\ $$$$\:\:\:\:\:\:\:\:\:\:{p},{q}\:\:{and}\:{c}={a}+{b}. \\ $$ Answered by ajfour last…
Question Number 158422 by ajfour last updated on 03/Nov/21 Commented by Tawa11 last updated on 04/Nov/21 $$\mathrm{Great}\:\mathrm{sir} \\ $$ Answered by ajfour last updated on…
Question Number 158391 by mr W last updated on 03/Nov/21 $${if}\:\alpha,\beta,\gamma\:{are}\:{the}\:{angles}\:{of}\:{a}\:{triangle}, \\ $$$${find}\:\frac{\boldsymbol{\mathrm{sin}}\:\mathrm{2}\boldsymbol{\alpha}+\boldsymbol{\mathrm{sin}}\:\mathrm{2}\boldsymbol{\beta}+\boldsymbol{\mathrm{sin}}\:\mathrm{2}\boldsymbol{\gamma}}{\boldsymbol{\mathrm{sin}}\:\boldsymbol{\alpha}\:\boldsymbol{\mathrm{sin}}\:\boldsymbol{\beta}\:\boldsymbol{\mathrm{sin}}\:\boldsymbol{\gamma}}=? \\ $$ Commented by MJS_new last updated on 03/Nov/21 $$\mathrm{4} \\ $$…
Question Number 92807 by Crabby89p13 last updated on 09/May/20 Commented by i jagooll last updated on 09/May/20 $$\mathrm{28}\:\mathrm{cm}^{\mathrm{2}} \\ $$ Answered by M±th+et+s last updated…
Question Number 158335 by mr W last updated on 02/Nov/21 $${if}\:\alpha,\beta,\gamma\:{are}\:{the}\:{angles}\:{of}\:{a}\:{triangle}, \\ $$$${find}\: \\ $$$$\frac{\mathrm{1}}{\boldsymbol{\mathrm{tan}}\:\boldsymbol{\alpha}\:\boldsymbol{\mathrm{tan}}\:\boldsymbol{\beta}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{tan}}\:\boldsymbol{\beta}\:\boldsymbol{\mathrm{tan}}\:\boldsymbol{\gamma}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{tan}}\:\boldsymbol{\gamma}\:\boldsymbol{\mathrm{tan}}\:\boldsymbol{\alpha}}=? \\ $$ Answered by puissant last updated on 03/Nov/21 $$\:\:\:\:\:\:\:\:\:\:\:\alpha\:+\:\beta\:+\:\gamma\:=\:\pi\:\rightarrow\:\alpha\:+\:\beta\:=\:\pi−\gamma\:;…
Question Number 92743 by romariocg11 last updated on 09/May/20 $$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}\:\:−\:\:{y}_{\mathrm{1}} \:\:=\:\:{m}\:\left(\:{x}\:−\:{x}_{\mathrm{1}} \:\right) \\ $$$$\:\:\:\Rightarrow \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}\:−\:\mathrm{1}\:=\:\:\mathrm{5}\:\left(\:{x}\:−\:\mathrm{2}\:\right)\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}\:−\:\mathrm{1}\:=\:\:\mathrm{5}{x}\:−\:\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}\:=\:\:\mathrm{5}{x}\:−\:\mathrm{10}\:+\:\mathrm{1} \\…
Question Number 158237 by mr W last updated on 05/Jan/23 Commented by mr W last updated on 01/Nov/21 $${volume}\:{obtained}\:{after}\:{a}\:{complete}\: \\ $$$${rotation}\:{of}\:{an}\:{area}\:{about}\:{an}\:{axis}. \\ $$$${S}={center}\:{of}\:{area}\:{A} \\ $$$${V}_{{x}}…
Question Number 92684 by I want to learn more last updated on 08/May/20 Commented by I want to learn more last updated on 08/May/20 $$\mathrm{Diagonal}\:\:=\:\:\mathrm{10}\sqrt{\mathrm{5}}…
Question Number 27055 by Joel578 last updated on 01/Jan/18 Commented by Joel578 last updated on 01/Jan/18 $${EB}\:=\:\mathrm{4} \\ $$$${ED}\:=\:\mathrm{8} \\ $$$${EC}\:=\:\mathrm{7} \\ $$$$\mathrm{Find}\:{EA} \\ $$…