Question Number 223349 by cryptograph last updated on 21/Jul/25 $${let}\:{gcd}\left({n},{m}\right)=\mathrm{1}.\:{Determine}\:{gcd}\left(\mathrm{5}^{{m}} +\mathrm{7}^{{m}} ,\mathrm{5}^{{n}} +\mathrm{7}^{{n}} \right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 223317 by fantastic last updated on 21/Jul/25 Answered by A5T last updated on 21/Jul/25 Commented by A5T last updated on 21/Jul/25 $$\frac{\mathrm{DA}×\mathrm{20}}{\mathrm{2}}=\mathrm{150}\Rightarrow\mathrm{DA}=\mathrm{15}\Rightarrow\mathrm{CD}=\sqrt{\mathrm{20}^{\mathrm{2}} +\mathrm{15}^{\mathrm{2}}…
Question Number 223301 by cemoosky last updated on 21/Jul/25 Answered by som(math1967) last updated on 21/Jul/25 $$\:\:\:{Ar}\:{of}\:{PQRK}=\mathrm{3}×\bigtriangleup{PSK} \\ $$$$\:{area}\:{of}\bigtriangleup{PSK}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{15sin}\:\mathrm{30}×\mathrm{15cos}\:\mathrm{30} \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{225}\sqrt{\mathrm{3}}}{\mathrm{4}}{cm}^{\mathrm{2}} \\ $$$$\:{area}\:{of}\:{PQRK}=\mathrm{3}×\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{225}\sqrt{\mathrm{3}}}{\mathrm{4}} \\ $$$$=\frac{\mathrm{675}\sqrt{\mathrm{3}}}{\mathrm{8}}{cm}^{\mathrm{2}}…
Question Number 223346 by cryptograph last updated on 21/Jul/25 $${proof}\:{gcd}\left(\mathrm{2}^{{m}} −\mathrm{1},\mathrm{2}^{{n}} −\mathrm{1}\right)=\mathrm{2}^{{gcd}\left({m},{n}\right)} −\mathrm{1} \\ $$ Answered by Raphael254 last updated on 22/Jul/25 $${if}\:{m}\:=\:{kn},\:{k}\:\in\:\mathbb{Z}^{\ast} : \\…
Question Number 223315 by sonukgindia last updated on 21/Jul/25 Commented by fantastic last updated on 21/Jul/25 $${Those}\:{two}\:{square}\:{means}\:{angle}?? \\ $$ Commented by fantastic last updated on…
Question Number 223286 by mehdee7396 last updated on 20/Jul/25 $${OC}=\mathrm{4}.\mathrm{5}\:\:\:\&\:\:{EF}=\mathrm{2}\:\:\&\:\:{D}\overset{\frown} {{E}}={E}\overset{\frown} {{C}}\:\:\&\:\:{AC}=\mathrm{2}{AF}\Rightarrow{AB}=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Downarrow\Downarrow\Downarrow \\ $$ Commented by fantastic last updated on 20/Jul/25 $$\mathrm{13}?? \\…
Question Number 223270 by Tawa11 last updated on 20/Jul/25 At a given instant, two cars are at distances 600m and 800m from the point of…
Question Number 223261 by Rojarani last updated on 19/Jul/25 Commented by Frix last updated on 20/Jul/25 $$\mathrm{We}\:\mathrm{cannot}\:\mathrm{solve}\:\mathrm{for}\:{p}\:\mathrm{and}\:{q}\:\mathrm{because}\:\mathrm{we}'\mathrm{ve} \\ $$$$\mathrm{got}\:\mathrm{only}\:\mathrm{1}\:\mathrm{equation}\:\mathrm{but}\:\mathrm{3}\:\mathrm{unknowns}\:{x},\:{p},\:{q} \\ $$$$\mathrm{if}\:{a},\:{b},\:{c},\:{d}\:\mathrm{are}\:\mathrm{given} \\ $$$$\mathrm{What}\:\mathrm{do}\:\mathrm{you}\:\mathrm{mean}?\:\mathrm{You}\:\mathrm{must}\:\mathrm{give}\:\mathrm{more} \\ $$$$\mathrm{information}.…
Question Number 223256 by ajfour last updated on 19/Jul/25 Commented by ajfour last updated on 19/Jul/25 Commented by ajfour last updated on 19/Jul/25 $$\:\: \\…
Question Number 223240 by fantastic last updated on 19/Jul/25 $${x}^{{x}} ={i} \\ $$$${number}\:{of}\:{solutions}?? \\ $$ Answered by mr W last updated on 19/Jul/25 $${say}\:{x}={re}^{\theta{i}} ={e}^{\mathrm{ln}\:{r}+\theta{i}}…