Question Number 27771 by ajfour last updated on 14/Jan/18 Commented by ajfour last updated on 14/Jan/18 $${If}\:{an}\:{equilateral}\:{triangle}\:{of} \\ $$$${edge}\:{length}\:{a}\:{is}\:{rotated}\:{about} \\ $$$${about}\:{its}\:{vertex}\:{A}\:{by}\:{an}\:{angle}\:\theta \\ $$$${find}\:{the}\:{area}\:{common}\:{in}\:{its} \\ $$$${new}\:{and}\:{previous}\:{positions}.…
Question Number 158751 by puissant last updated on 08/Nov/21 $${Q}\:\mathrm{158528} \\ $$$$ \\ $$$$\:\:\:\:\:\:\mathbb{P}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\prod}}\left(\frac{\left({n}+\mathrm{1}\right)^{\mathrm{3}} −\mathrm{1}}{\left({n}+\mathrm{1}\right)^{\mathrm{3}} +\mathrm{1}}\right) \\ $$$$\Rightarrow\:\mathbb{P}\:=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\prod}}\left(\frac{\left({n}+\mathrm{1}\right)^{\mathrm{3}} −\mathrm{1}^{\mathrm{3}} }{\left({n}+\mathrm{1}\right)^{\mathrm{3}} +\mathrm{1}^{\mathrm{3}}…
Question Number 158740 by ajfour last updated on 08/Nov/21 Commented by ajfour last updated on 08/Nov/21 $${Find}\:{area}\:{of}\:\bigtriangleup{ABC}\:{in} \\ $$$${terms}\:{of}\:{a},{b},{c}. \\ $$ Answered by ajfour last…
Question Number 93166 by john santu last updated on 11/May/20 Answered by john santu last updated on 11/May/20 $$\mathrm{let}\:\mathrm{put}\:\mathrm{the}\:\mathrm{right}\:\mathrm{angle}\:\mathrm{at}\:\mathrm{B}\left(\mathrm{0},\mathrm{0}\right)\:,\:\mathrm{A}\left(\mathrm{0},\mathrm{3}\right) \\ $$$$\mathrm{C}\left(\mathrm{4},\mathrm{0}\right)\:.\:\mathrm{for}\:\mathrm{a}\:\mathrm{general}\:\mathrm{right}\:\mathrm{triangle} \\ $$$$\mathrm{A}\left(\mathrm{0},\mathrm{a}\right),\:\mathrm{B}\left(\mathrm{0},\mathrm{0}\right),\mathrm{C}\left(\mathrm{c},\mathrm{0}\right) \\ $$$$\mathrm{we}\:\mathrm{have}\:\mathrm{X}\left({x},\mathrm{y}\right)\:\Rightarrow\mathrm{T}\left({x},\mathrm{y}\right)=\:…
Question Number 93125 by john santu last updated on 11/May/20 Commented by john santu last updated on 11/May/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{shaded}\:\mathrm{area}\: \\ $$ Commented by i jagooll…
Question Number 27557 by Mr eaay last updated on 09/Jan/18 $${proove}\:{that}\:\pi\:=\:\mathrm{3}.\mathrm{142} \\ $$ Commented by math solver last updated on 11/Jan/18 $${hey},\:{how}\:{an}\:{irrational}\:{no}.\: \\ $$$${can}\:{be}\:{equal}\:{to}\:{rational}\:{no}….!! \\…
Question Number 26853 by ajfour last updated on 30/Dec/17 Commented by ajfour last updated on 30/Dec/17 $${Find}\:{area}\:{of}\:{the}\:{blue}\:{region}. \\ $$ Answered by mrW1 last updated on…
Question Number 92226 by jagoll last updated on 05/May/20 Commented by mr W last updated on 05/May/20 $$\mathrm{3}{x}=\mathrm{63} \\ $$$${x}=\mathrm{21}° \\ $$ Commented by jagoll…
Question Number 157724 by Ppmaurya last updated on 27/Oct/21 $$\mathrm{8}.\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{A}\:\mathrm{number}\:\mathrm{can}\:\mathrm{be}\:\mathrm{expressed}\:\mathrm{as}\:\mathrm{a}\:\mathrm{terminating}\:\mathrm{decimal},\mathrm{if}\:\mathrm{the}\:\mathrm{denominator}\:\mathrm{has}\:\mathrm{factors}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{a}\right)\:\mathrm{2},\mathrm{3}\:\mathrm{or}\:\mathrm{5}\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{2}\:\mathrm{or}\:\mathrm{3} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{3}\:\mathrm{or}\:\mathrm{5} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{2}\:\mathrm{or}\:\mathrm{5} \\ $$$$\:\mathrm{9}.\:\:\:\:\:\:\:\:\:\:\mathrm{Given}\:\mathrm{that}\::\:\mathrm{HCF}\:\mathrm{of}\:\mathrm{2520}\:\mathrm{and}\:\mathrm{6600}=\:\mathrm{120},\:\mathrm{LCM}\:\mathrm{of}\:\mathrm{2520}\:\mathrm{and}\:\mathrm{6600}=\:\mathrm{252}×{k},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{k}\:\mathrm{is}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{a}\right)\:\mathrm{165} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{1625} \\…
Question Number 92170 by jagoll last updated on 05/May/20 Commented by jagoll last updated on 05/May/20 is teaching my child �������� Commented by jagoll last updated on 05/May/20 $$\mathrm{when}\:\mathrm{does}\:\mathrm{this}\:\mathrm{covid}\:\mathrm{19}\:\mathrm{pandemic}\:…