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Category: Mensuration

What-is-the-GCD-of-1-2-3-4-16-30-

Question Number 104280 by Anindita last updated on 20/Jul/20 $$\boldsymbol{\mathrm{What}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{GCD}}\:\boldsymbol{\mathrm{of}}\: \\ $$$$\frac{\mathrm{1}}{\mathrm{2}},\:\frac{\mathrm{3}}{\mathrm{4}},\:\frac{\mathrm{16}}{\mathrm{30}}\:? \\ $$ Commented by 1549442205PVT last updated on 20/Jul/20 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{tell}\:\mathrm{me}\:\mathrm{what}\:\mathrm{is}\:\mathrm{brief} \\ $$$$\mathrm{word}''\mathrm{GCM}''? \\…

Find-the-area-common-to-min-x-y-2-and-max-x-y-4-x-denotes-the-greatest-integer-less-than-or-equal-to-x-

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…

Given-that-a-b-c-are-3-consecutive-term-of-a-Geometric-sequence-f-n-show-that-log-a-logb-logc-are-the-first-3-terms-of-an-Arithmetic-SequenceP-n-

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-103652

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-38079

Question Number 38079 by ajfour last updated on 21/Jun/18 Commented by ajfour last updated on 21/Jun/18 $${Find}\:{coloured}\:{area}\:{ABCD}\:{in} \\ $$$${terms}\:{of}\:{a},{b},{c},{d}\:. \\ $$$${It}\:{is}\:{the}\:{area}\:{common}\:{to}\:{two} \\ $$$${squares}\:{of}\:{side}\:{length}\:{a}. \\ $$…