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Question-104751

Question Number 104751 by mohammad17 last updated on 23/Jul/20 Answered by Dwaipayan Shikari last updated on 23/Jul/20 $$\frac{\mathrm{16}}{\mathrm{2}}\left(\mathrm{3}.\mathrm{2}+\mathrm{15}.\mathrm{8}\right)=\mathrm{1008} \\ $$ Commented by mohammad17 last updated…

ABCD-is-a-square-with-center-O-I-is-the-middle-of-BC-1-q-is-geometric-transformation-defined-by-q-M-M-such-that-CM-CM-3DM-a-Determinate-the-invariant-point-of-q-b-show-that-q

Question Number 104744 by mathocean1 last updated on 23/Jul/20 $${ABCD}\:{is}\:{a}\:{square}\:{with}\:{center}\:{O}. \\ $$$${I}\:{is}\:{the}\:{middle}\:{of}\:\left[{BC}\right]. \\ $$$$\left.\mathrm{1}\right)\:{q}\:{is}\:{geometric}\:{transformation} \\ $$$${defined}\:{by}\:{q}:\:{M}\rightarrow{M}'\:{such}\:{that} \\ $$$$\overset{\rightarrow} {{CM}'}=\overset{\rightarrow} {{CM}}+\mathrm{3}\overset{\rightarrow} {{DM}}. \\ $$$$\left.{a}\right){Determinate}\:{the}\:{invariant}\:{point} \\ $$$${of}\:{q}.…

Question-39174

Question Number 39174 by jasno91 last updated on 03/Jul/18 Answered by MrW3 last updated on 03/Jul/18 $${let}\:{a}\:{and}\:{b}\:{be}\:{the}\:{diagonals} \\ $$$${P}=\mathrm{4}\sqrt{\left(\frac{{a}}{\mathrm{2}}\right)^{\mathrm{2}} +\left(\frac{{b}}{\mathrm{2}}\right)^{\mathrm{2}} } \\ $$$${P}=\mathrm{2}\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }…

A-deck-of-2022-cards-is-numbered-1-to-2022-The-first-1-is-placed-at-the-bottom-of-the-deck-the-second-2-is-discarded-the-third-3-placed-at-the-bottom-the-next-4-is-discarded-and-

Question Number 170240 by otchereabdullai@gmail.com last updated on 18/May/22 $$\:\mathrm{A}\:\mathrm{deck}\:\mathrm{of}\:\mathrm{2022}\:\mathrm{cards}\:\mathrm{is}\:\mathrm{numbered} \\ $$$$\:\mathrm{1}\:\mathrm{to}\:\mathrm{2022}.\:\mathrm{The}\:\mathrm{first},\:\mathrm{1},\:\mathrm{is}\:\mathrm{placed}\:\mathrm{at}\: \\ $$$$\:\:\:\mathrm{the}\:\mathrm{bottom}\:\mathrm{of}\:\mathrm{the}\:\mathrm{deck}\:,\:\mathrm{the}\: \\ $$$$\mathrm{second},\mathrm{2},\:\mathrm{is}\:\mathrm{discarded},\:\mathrm{the}\:\mathrm{third}\:,\mathrm{3},\: \\ $$$$\mathrm{placed}\:\mathrm{at}\:\mathrm{the}\:\mathrm{bottom},\:\mathrm{the}\:\mathrm{next},\mathrm{4},\:\mathrm{is}\: \\ $$$$\:\mathrm{discarded},\:\mathrm{and}\:\mathrm{so}\:\mathrm{on}.\:\mathrm{the}\:\mathrm{process}\: \\ $$$$\mathrm{continue}\:\mathrm{till}\:\mathrm{only}\:\mathrm{one}\:\mathrm{card}\:\mathrm{is}\:\mathrm{left}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{number}\:\mathrm{on}\:\mathrm{the}\:\mathrm{card}?\: \\…