Question Number 224413 by Lekhraj last updated on 09/Sep/25 Commented by Lekhraj last updated on 09/Sep/25 $$\mathrm{Please}\:\mathrm{write}\:\mathrm{your}\:\mathrm{solution}\:\mathrm{in}\:\mathrm{a}\:\mathrm{rigourous}\:\mathrm{way}. \\ $$ Commented by Lekhraj last updated on…
Question Number 224337 by wongb1506 last updated on 04/Sep/25 Answered by BaliramKumar last updated on 04/Sep/25 $${cos}\left({A}=\mathrm{60}°\right)\:=\:\frac{\mathrm{5}^{\mathrm{2}} +\left({x}−\mathrm{6}\right)^{\mathrm{2}} −\mathrm{7}^{\mathrm{2}} }{\mathrm{2}×\mathrm{5}×\left({x}−\mathrm{6}\right)} \\ $$$${x}=\mathrm{14}\:\checkmark\:\:\:\:\:{or}\:\:\:\:\:\:\cancel{\mathrm{3}}\: \\ $$$$ \\…
Question Number 224336 by wongb1506 last updated on 04/Sep/25 Answered by som(math1967) last updated on 04/Sep/25 $${let}\:{EC}={x},\:\angle{BEC}=\alpha \\ $$$$\therefore\angle{AED}=\mathrm{180}−\mathrm{60}−\alpha=\mathrm{120}−\alpha \\ $$$$\:\frac{\mathrm{4}}{{x}}={sin}\alpha\Rightarrow\frac{\mathrm{1}}{{x}}=\frac{\mathrm{sin}\:\alpha}{\mathrm{4}} \\ $$$$\:\:\frac{\mathrm{3}}{{x}}={sin}\left(\mathrm{120}−\alpha\right)\Rightarrow\frac{\mathrm{1}}{{x}}=\frac{{sin}\left(\mathrm{120}−\alpha\right)}{\mathrm{3}} \\ $$$$\therefore\:\frac{{sin}\alpha}{\mathrm{4}}=\frac{{sin}\left(\mathrm{120}−\alpha\right)}{\mathrm{3}}…
Question Number 224320 by Tawa11 last updated on 02/Sep/25 Answered by mr W last updated on 02/Sep/25 Commented by mr W last updated on 02/Sep/25…
Question Number 224249 by mnjuly1970 last updated on 29/Aug/25 Commented by mnjuly1970 last updated on 29/Aug/25 $${please}\:{prove}\:\:\underline{\underbrace{\lesseqgtr}} \\ $$ Commented by mr W last updated…
Question Number 224246 by mr W last updated on 28/Aug/25 Commented by mr W last updated on 28/Aug/25 $${find}\:{the}\:{area}\:{of}\:{hexagon}. \\ $$ Answered by A5T last…
Question Number 224168 by mr W last updated on 23/Aug/25 Commented by mr W last updated on 23/Aug/25 $${find}\:{the}\:{shaded}\:{area}. \\ $$ Answered by fantastic last…
Question Number 224108 by MirHasibulHossain last updated on 21/Aug/25 Answered by mr W last updated on 21/Aug/25 $${i}\:{think}\:{if}\:{the}\:{three}\:{big}\:{blue}\:{circles}\: \\ $$$${have}\:{different}\:{radii}\:{a}_{\mathrm{1}} ,\:{a}_{\mathrm{2}} ,\:{a}_{\mathrm{3}} ,\: \\ $$$${generally}\:{we}\:{have}…
Question Number 224013 by efronzo1 last updated on 14/Aug/25 Commented by efronzo1 last updated on 14/Aug/25 $$\mathrm{Given}\:\mathrm{AB}\:\mathrm{is}\:\mathrm{diameter}\:,\:\angle\mathrm{AOD}=\mathrm{22}° \\ $$$$\:\mathrm{and}\:\angle\mathrm{BCD}=\:\mathrm{p}°. \\ $$$$\:\mathrm{Find}\:\mathrm{p}. \\ $$ Answered by…
Question Number 224003 by mr W last updated on 13/Aug/25 Commented by mr W last updated on 13/Aug/25 $${the}\:{areas}\:{of}\:{two}\:{equilaterals}\:{are} \\ $$$${known}.\:{find}\:{the}\:{area}\:{of}\:{the}\:{third} \\ $$$${triangle}. \\ $$…