Category: Mensuration

Question Number 38568 by ajfour last updated on 27/Jun/18 $${Find}\:{the}\:{area}\:{common}\:{to} \\ $$$${min}\left\{\left[{x}\right],\:\left[{y}\right]\:\right\}\:=\mathrm{2}\:\:\:{and} \\ $$$${max}\left\{\left[{x}\right],\:\left[{y}\right]\:\right\}\:=\mathrm{4}\:. \\ $$$$\left[{x}\right]\:{denotes}\:{the}\:{greatest}\:{integer} \\ $$$${less}\:{than}\:{or}\:{equal}\:{to}\:{x}. \\ $$ Commented by ajfour last updated…

Question Number 103872 by mikolo last updated on 17/Jul/20 Commented by bramlex last updated on 18/Jul/20 Commented by bramlex last updated on 18/Jul/20 $${AB}^{\mathrm{2}} \:=\:{AD}^{\mathrm{2}}…

Question Number 38154 by Rio Mike last updated on 22/Jun/18 $${Given}\:{that}\: \\ $$$$\:\:{a},{b},{c}\:{are}\:\mathrm{3}\:{consecutive}\:{term}\:{of}\: \\ $$$${a}\:{Geometric}\:{sequence}\:{f}\left({n}\right)\:,\:{show} \\ $$$${that}\:{log}\:{a},{logb},{logc}\:{are}\:{the}\:{first}\: \\ $$$$\mathrm{3}\:{terms}\:{of}\:{an}\:{Arithmetic}\:{SequenceP}\left({n}\right). \\ $$ Answered by Rasheed.Sindhi last…

Question Number 103652 by smartsmith459@gmail.com last updated on 16/Jul/20 Commented by Worm_Tail last updated on 16/Jul/20 $$\left.\mathrm{1}\right)\:\:\:\:\alpha=\frac{\frac{\mathrm{20000}}{\mathrm{60}}−\mathrm{0}}{\mathrm{30}}=\frac{\mathrm{20000}}{\mathrm{1800}}=\mathrm{11}.\mathrm{11}{rps} \\ $$$$\left.\mathrm{2}\right)\:\:\:\theta=\omega_{\mathrm{0}} {t}+\mathrm{0}.\mathrm{5}\alpha{t}^{\mathrm{2}} \\ $$$$\:\:\:\:\theta=\left(\mathrm{0}\right)\left(\mathrm{30}\right)+\mathrm{0}.\mathrm{5}\left(\mathrm{11}.\mathrm{111}\right)\left(\mathrm{30}\right)^{\mathrm{2}} \\ $$$$\:\:\:\theta=\mathrm{5000}{rad} \\…

Question Number 38062 by ajfour last updated on 21/Jun/18 Commented by ajfour last updated on 21/Jun/18 $${how}\:{many}\:{triangles}\:{with}\:{sides} \\ $$$${drawn}\:{in}\:{diagram}\:? \\ $$ Commented by Rasheed.Sindhi last…