Question Number 72248 by Omer Alattas last updated on 26/Oct/19 Commented by Omer Alattas last updated on 26/Oct/19 $${solv}\:{to}\:{x}\: \\ $$ Answered by MJS last…
Question Number 72247 by TawaTawa last updated on 26/Oct/19 Answered by mind is power last updated on 26/Oct/19 $$\mathrm{s}_{\mathrm{1}} =\mathrm{s}_{\mathrm{2}} =\mathrm{s} \\ $$$$\frac{\mathrm{TS}}{\mathrm{PR}}=\frac{\mathrm{QT}}{\mathrm{QP}}\Rightarrow\mathrm{TS}=\frac{\mathrm{41}}{\mathrm{3}} \\ $$$$\mathrm{a}=\angle\mathrm{QST}\:,\mathrm{r}=\angle\mathrm{QST}=\angle\mathrm{PRQ}…
Question Number 137732 by byaw last updated on 05/Apr/21 $$\mathrm{the}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{interior}\:\mathrm{angle} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{exterior}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{a} \\ $$$$\mathrm{regular}\:\mathrm{polygon}\:\mathrm{is}\:\mathrm{5}:\mathrm{2}.\:\mathrm{Find} \\ $$$$\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{polygon}. \\ $$ Answered by mr W last…
Question Number 72194 by mr W last updated on 26/Oct/19 Commented by mr W last updated on 26/Oct/19 $${find}\:{the}\:{sum}\:{of}\:{areas}\:{of}\:{two}\:{squares} \\ $$$${inside}\:{the}\:{semicircle}\:{with}\:{radius}\:\mathrm{10}. \\ $$ Answered by…
Question Number 6640 by Rasheed Soomro last updated on 07/Jul/16 $$\mathrm{ABC}\:{is}\:{a}\:{triangle},{whose}\:{one}\:{vertex}\: \\ $$$${is}\:{moving}\:{along}\:{a}\:{circular}\:{path}.\: \\ $$$${Discuss}\:{the}\:{nature}\:{of}\:{the}\:\:{path},\:{along} \\ $$$${which}\:{the}\:\boldsymbol{{centroid}}\:{of}\:{the}\:{triangle} \\ $$$${is}\:{moving}. \\ $$ Commented by Rasheed Soomro…
Question Number 6635 by Rasheed Soomro last updated on 07/Jul/16 Commented by Rasheed Soomro last updated on 09/Jul/16 $${In}\:{other}\:{words}: \\ $$$${The}\:{median}\:{through}\:\mathrm{A}\:{in}\:\bigtriangleup\mathrm{ABC}\:{is}\:{equidistant} \\ $$$${from}\:\mathrm{B}\:\:{and}\:\:\mathrm{C}. \\ $$$${Or}…
Question Number 6564 by Yozzii last updated on 03/Jul/16 $${Let}\:\phi=\left\{\:{l}_{\mathrm{1}} \:,\:{l}_{\mathrm{2}} \:,\:{l}_{\mathrm{3}} \:\right\}\:{be}\:{a}\:{set}\:{of}\:{three},\:{nonparallel} \\ $$$${lines}\:{that}\:{all}\:{meet}\:{at}\:{one}\:{point}\:{R}\:{in}\: \\ $$$${the}\:{plane}.\:{Investigate}\:{conditions}\:{on}\:\phi \\ $$$${such}\:{that}\:{R}\:{is}\:{the}\:{centroid}\:{of}\:{some}\:{triangle}. \\ $$$$ \\ $$$$ \\ $$…
Question Number 6553 by Rasheed Soomro last updated on 01/Jul/16 Commented by Rasheed Soomro last updated on 01/Jul/16 $$\bullet\mid{AB}\mid={c},\:\mid{BC}\mid={a},\:\mid{CA}\mid={b} \\ $$$$\bullet\overset{\leftrightarrow} {{AE}}\:,\:\overset{\leftrightarrow} {{BF}}\:,\:\overset{\leftrightarrow} {{CD}}\:\:{are}\:\boldsymbol{{angular}}\:\boldsymbol{{bisectors}} \\…
Question Number 6488 by Rasheed Soomro last updated on 29/Jun/16 Commented by Rasheed Soomro last updated on 29/Jun/16 $${Centres}\:{of}\:{the}\:{arcs}\:\:{are}\:\mathrm{A},\mathrm{B}\:{and}\:\mathrm{C}. \\ $$$${Also}\:{determine}\:{the}\:{measures}\:{of}\:{the}\:{sides} \\ $$$${of}\:\bigtriangleup\mathrm{DFH}. \\ $$$${May}\:{be}\:{treated}\:{as}\:{separate}\:{question}\left(\:{labled}\right.…
Question Number 6475 by WAI LIN last updated on 28/Jun/16 $${Find}\:{a}\:{solution}\:{of}\:{the}\:{form}\:\emptyset\left({x}\right)={x}^{{r}} \underset{{k}=\mathrm{0}} {\overset{\alpha} {\sum}}{c}_{{k}} {x}^{{k}} \:\left({x}\:>\:\mathrm{0}\right)\:{for}\: \\ $$$${xy}^{''} +\:{y}'\:−\:{y}\:=\:\mathrm{0}. \\ $$ Commented by Yozzii last…