Question Number 83102 by ajfour last updated on 28/Feb/20 Commented by ajfour last updated on 28/Feb/20 $$\mathrm{Find}\:\mathrm{side}\:\boldsymbol{\mathrm{s}}\:\mathrm{of}\:\mathrm{largest}\:\mathrm{equilateral} \\ $$$$\bigtriangleup\mathrm{ABC}\:\mathrm{whose}\:\mathrm{vertices}\:\mathrm{lie}\:\mathrm{on} \\ $$$$\mathrm{three}\:\mathrm{circles}\:\mathrm{of}\:\mathrm{radii}\:\mathrm{p},\mathrm{q},\mathrm{r}\:\mathrm{touching} \\ $$$$\mathrm{each}\:\mathrm{other}\:\mathrm{externally}. \\ $$…
Question Number 17524 by 786 last updated on 07/Jul/17 $$\mathrm{The}\:\mathrm{circle}\:\omega\:\mathrm{touches}\:\mathrm{the}\:\mathrm{circle}\:\Omega \\ $$$$\mathrm{internally}\:\mathrm{at}\:{P}.\:\mathrm{The}\:\mathrm{centre}\:{O}\:\mathrm{of}\:\Omega\:\mathrm{is} \\ $$$$\mathrm{outside}\:\omega.\:\mathrm{Let}\:{XY}\:\mathrm{be}\:\mathrm{a}\:\mathrm{diameter}\:\mathrm{of}\:\Omega \\ $$$$\mathrm{which}\:\mathrm{is}\:\mathrm{also}\:\mathrm{tangent}\:\mathrm{to}\:\omega.\:\mathrm{Assume} \\ $$$${PY}\:>\:{PX}.\:\mathrm{Let}\:{PY}\:\mathrm{intersect}\:\omega\:\mathrm{at}\:{Z}.\:\mathrm{If} \\ $$$${YZ}\:=\:\mathrm{2}{PZ},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{magnitude}\:\mathrm{of} \\ $$$$\angle{PYX}\:\mathrm{in}\:\mathrm{degrees}? \\ $$ Answered…
Question Number 17520 by 1kanika# last updated on 07/Jul/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{coordinate}\:\mathrm{of}\:\mathrm{the}\:\mathrm{point}\:\mathrm{in} \\ $$$$\mathrm{R}\Lambda\mathrm{3}\:\mathrm{which}\:\mathrm{is}\:\mathrm{the}\:\mathrm{reflection}\:\mathrm{the}\:\mathrm{point} \\ $$$$\left(\mathrm{1},\mathrm{2},\mathrm{3}\right)\:\mathrm{with}\:\mathrm{respect}\:\mathrm{to}\:\mathrm{plane}\: \\ $$$$\mathrm{X}+\mathrm{Y}+\mathrm{Z}=\mathrm{1}\:. \\ $$ Commented by 1kanika# last updated on 07/Jul/17…
Question Number 83032 by Power last updated on 27/Feb/20 Answered by mr W last updated on 27/Feb/20 Commented by mr W last updated on 27/Feb/20…
Question Number 83030 by Power last updated on 27/Feb/20 Answered by mr W last updated on 27/Feb/20 Commented by mr W last updated on 27/Feb/20…
Question Number 148552 by cherokeesay last updated on 29/Jul/21 Commented by Tawa11 last updated on 29/Jul/21 $$\mathrm{good} \\ $$ Commented by cherokeesay last updated on…
Question Number 148540 by Jonathanwaweh last updated on 29/Jul/21 Answered by Olaf_Thorendsen last updated on 29/Jul/21 $$\mathrm{Formule}\:\mathrm{d}'\mathrm{Al}−\mathrm{Kashi}\:\left(\mathrm{generalisation}\right. \\ $$$$\mathrm{de}\:\mathrm{Pythagore}\:\mathrm{dans}\:\mathrm{un}\:\mathrm{triangle} \\ $$$$\left.\mathrm{quelconque}\right)\:: \\ $$$${c}^{\mathrm{2}} \:=\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}}…
Question Number 148532 by cherokeesay last updated on 28/Jul/21 Answered by mr W last updated on 29/Jul/21 Commented by mr W last updated on 29/Jul/21…
Question Number 17449 by ajfour last updated on 06/Jul/17 $$\mathrm{Between}\:\mathrm{2}:\mathrm{00}\:\mathrm{and}\:\mathrm{2}:\mathrm{15},\:\mathrm{what}\:\mathrm{time} \\ $$$$\mathrm{is}\:\mathrm{it}\:\mathrm{exactly}\:\mathrm{when}\:\mathrm{the}\:\mathrm{hour}, \\ $$$$\mathrm{minute},\:\mathrm{and}\:\mathrm{second}'\mathrm{s}\:\mathrm{hand}\:\mathrm{of}\:\mathrm{a} \\ $$$$\mathrm{clock}\:\mathrm{occupy}\:\mathrm{the}\:\mathrm{same}\:\mathrm{angular} \\ $$$$\mathrm{position}. \\ $$$$ \\ $$ Commented by mrW1…
Question Number 17440 by virus last updated on 05/Jul/17 $$\mathrm{3}{x}−\mathrm{4}{y}=\mathrm{0},\mathrm{4}{y}−\mathrm{5}{z}=\mathrm{0},\mathrm{5}{z}−\mathrm{3}{x}=\mathrm{0} \\ $$$${then}\:{x},{y},{z}\:{is}\:{AP},{GP},{HP},{AGP}?????? \\ $$ Answered by sushmitak last updated on 06/Jul/17 $$\frac{{x}}{{y}}=\frac{\mathrm{4}}{\mathrm{3}}={k},\frac{{y}}{{z}}=\frac{\mathrm{5}}{\mathrm{4}} \\ $$$${x}=\mathrm{4}{k} \\…