Question Number 148092 by puissant last updated on 25/Jul/21 Answered by Olaf_Thorendsen last updated on 25/Jul/21 $$\mathrm{R}\:\mathrm{est}\:\mathrm{le}\:\mathrm{rayon}\:\mathrm{du}\:\mathrm{cercle}. \\ $$$$\mathrm{O}\:\mathrm{est}\:\mathrm{le}\:\mathrm{centre}\:\mathrm{du}\:\mathrm{cercle}. \\ $$$$\mathrm{B}\begin{pmatrix}{\mathrm{R}}\\{\mathrm{R}}\end{pmatrix},\:\mathrm{C}\begin{pmatrix}{\mathrm{R}}\\{\mathrm{R}−\mathrm{15}}\end{pmatrix} \\ $$$$\mathrm{Aire}_{\mathrm{ABC}} \:=\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{AB}×\mathrm{AC} \\…
Question Number 16876 by tawa tawa last updated on 27/Jun/17 $$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{a}\:\mathrm{family}\:\mathrm{of}\:\mathrm{5}\:\mathrm{brothers}\:\mathrm{be}\:\mathrm{seated}\:\mathrm{round}\:\mathrm{a}\:\mathrm{table} \\ $$$$\mathrm{if}\:\left(\mathrm{i}\right)\:\mathrm{2}\:\mathrm{brothers}\:\mathrm{must}\:\mathrm{seat}\:\mathrm{next}\:\mathrm{to}\:\mathrm{each}\:\mathrm{other}. \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{2}\:\mathrm{brothers}\:\mathrm{must}\:\mathrm{not}\:\mathrm{seat}\:\mathrm{together}. \\ $$ Answered by mrW1 last updated on 27/Jun/17 $$\left(\mathrm{i}\right)…
Question Number 16868 by tawa tawa last updated on 27/Jun/17 $$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{the}\:\mathrm{letters}\:\mathrm{of}\:\mathrm{the}\:\mathrm{word}.\:\mathrm{EVERMORE}\:\mathrm{be}\:\mathrm{arrange} \\ $$$$\mathrm{if}\:\mathrm{the}\:\mathrm{word}\:\mathrm{must}\:\mathrm{begin}\:\mathrm{with}\: \\ $$$$\left(\mathrm{i}\right)\:\mathrm{R} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{E} \\ $$ Answered by mrW1 last updated on…
Question Number 147914 by mnjuly1970 last updated on 24/Jul/21 $$ \\ $$$$\:\:{f}\:\left({x}\:\right):=\:\mathrm{3}{x}\:+\left[\:\frac{{x}}{\mathrm{4}}\:\right]\:\:,\:\mathrm{D}_{\:{f}} \:=\left[\:\mathrm{0},\infty\right) \\ $$$$\:\:\:\:\:\:\:\:\:{f}^{\:−\mathrm{1}} \left(\:{x}\:\right)=\:? \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 16836 by tawa tawa last updated on 26/Jun/17 $$\mathrm{Find}\:\mathrm{how}\:\mathrm{many}\:\mathrm{number}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{2},\mathrm{500}\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{from}\:\mathrm{the}\:\mathrm{digit} \\ $$$$\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4}\:\:\mathrm{if}\:\mathrm{no}\:\mathrm{digit}\:\mathrm{can}\:\mathrm{be}\:\mathrm{used}\:\mathrm{more}\:\mathrm{than}\:\mathrm{once}. \\ $$ Answered by mrW1 last updated on 27/Jun/17 $$\mathrm{2}×\mathrm{4}×\mathrm{3}×\mathrm{2}=\mathrm{48} \\ $$…
Question Number 147876 by puissant last updated on 24/Jul/21 Answered by Olaf_Thorendsen last updated on 24/Jul/21 $$\mathrm{On}\:\mathrm{raisonne}\:\mathrm{par}\:\mathrm{recurrence}. \\ $$$$ \\ $$$$\mathrm{On}\:\mathrm{considere}\:\mathrm{la}\:\mathrm{propriete}\:\mathrm{suivante}\:: \\ $$$$ \\ $$$$“\mathrm{Si}\:\mathrm{on}\:\mathrm{retire}\:\mathrm{une}\:\mathrm{case}\:\mathrm{quelconque}…
Question Number 147654 by ArielVyny last updated on 22/Jul/21 Commented by ArielVyny last updated on 22/Jul/21 $${exercice}\:\mathrm{11} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 147524 by SLVR last updated on 21/Jul/21 Commented by SLVR last updated on 21/Jul/21 $${kindly}\:{help} \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 146824 by alcohol last updated on 16/Jul/21 Answered by Olaf_Thorendsen last updated on 16/Jul/21 $$\mathrm{1}− \\ $$$${w}\:=\:{e}^{\frac{\mathrm{2}{i}\pi}{{n}}} \\ $$$$\mathrm{Let}\:{z}_{{n}} \:=\:\mathrm{1}+{w}+{w}^{\mathrm{2}} +…{w}^{{n}−\mathrm{1}} \\ $$$${z}_{{n}}…
Question Number 145944 by alcohol last updated on 09/Jul/21 Commented by alcohol last updated on 10/Jul/21 $${no}\:{body}? \\ $$ Answered by mathmax by abdo last…