Question Number 198644 by cortano12 last updated on 22/Oct/23 Commented by Rasheed.Sindhi last updated on 22/Oct/23 $${ab}=\left(\frac{\mathrm{8}−{a}+{b}}{\mathrm{6}}\right)^{\mathrm{3}} \:{or}\:\left(\frac{\mathrm{8}+{a}−{b}}{\mathrm{6}}\right)^{\mathrm{3}} \:? \\ $$ Commented by cortano12 last…
Question Number 198646 by Engr_Jidda last updated on 22/Oct/23 Answered by mr W last updated on 23/Oct/23 $${story}\:{is}\:{silly},\:{but}\:{solution}\:{is}\:{easy}! \\ $$$$ \\ $$$${girl}:\:{a}\left({t}\right)=\mathrm{1}×{t}={t} \\ $$$${boy}:\:\:{b}\left({t}\right)=\mathrm{5}×{t}=\mathrm{5}{t} \\…
Question Number 198647 by ajfour last updated on 22/Oct/23 Commented by ajfour last updated on 22/Oct/23 $${Q}\:{is}\:{center}\:{of}\:{smaller}\:{circle}\:{of} \\ $$$${radius}\:{a}.\:{Find}\:{maximum}\:{area}\:{of}\: \\ $$$$\bigtriangleup{ABC}\:\:{in}\:{terms}\:{of}\:{a},\:{b}. \\ $$ Answered by…
Question Number 198576 by mr W last updated on 22/Oct/23 How many numbers with a maximum of 5 digits, greater than 4000, can be formed…
Question Number 198643 by cortano12 last updated on 22/Oct/23 $$ \\ $$$$\mathrm{Given}\:\mathrm{an}\:\mathrm{isosceles}\:\mathrm{triangle}\:\mathrm{ABC} \\ $$$$\:\mathrm{which}\:\:\angle\mathrm{A}=\:\mathrm{30}°,\:\mathrm{AB}\:=\:\mathrm{AC}.\: \\ $$$$\mathrm{A}\:\mathrm{point}\:\mathrm{D}\:\mathrm{is}\:\mathrm{midpoint}\:\mathrm{of}\:\mathrm{BC}\:.\: \\ $$$$\mathrm{A}\:\mathrm{point}\:\mathrm{P}\:\mathrm{is}\:\mathrm{chosen}\:\mathrm{on}\:\mathrm{then} \\ $$$$\mathrm{segment}\:\mathrm{AD}\:\mathrm{and}\:\mathrm{a}\:\mathrm{point}\:\mathrm{Q}\:\mathrm{is} \\ $$$$\mathrm{chosen}\:\mathrm{on}\:\mathrm{the}\:\mathrm{side}\:\mathrm{AB}\:\mathrm{so}\:\mathrm{that} \\ $$$$\mathrm{BP}=\:\mathrm{PQ}. \\…
Question Number 198604 by ajfour last updated on 22/Oct/23 Commented by ajfour last updated on 22/Oct/23 $$\theta+\phi=\alpha\:\left({known}\right) \\ $$$${radius}\:{of}\:{arc}\:{is}\:{unity}. \\ $$$${If}\:{the}\:{two}\:{shaded}\:{parts}\:{are}\:{equal}, \\ $$$${find}\:\theta={f}\left(\alpha\right). \\ $$…
Question Number 198572 by cortano12 last updated on 22/Oct/23 $$\:\:\:\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{2n}}} {\mathrm{lim}}\:\frac{\sqrt{\frac{\mathrm{sin}\:\mathrm{2nx}}{\mathrm{1}+\mathrm{cos}\:\mathrm{nx}}}}{\mathrm{4n}^{\mathrm{2}} \mathrm{x}^{\mathrm{2}} −\pi^{\mathrm{2}} }\:=? \\ $$ Answered by MM42 last updated on 22/Oct/23 $$\frac{\pi}{\mathrm{2}{n}}−{x}={u} \\…
Question Number 198575 by ajfour last updated on 22/Oct/23 Commented by ajfour last updated on 22/Oct/23 $${p}^{\mathrm{3}} ={p}+{c}\:\:\:\:\:\forall\:\:\mathrm{0}<{c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}\:\:\:.\:{Find}\:{p}\:{in} \\ $$$${surd}\:{form}. \\ $$ Commented by mr…
Question Number 198565 by tri26112004 last updated on 22/Oct/23 $${Let}\:{a},{b},{c}\:\in\:{R}^{+} \:{such}\:{that}\:{a}+{b}+{c}=\mathrm{1}. \\ $$$$\:{Prove}\:{that}:\:\:\:\:{b}+{c}\geqslant\mathrm{16}{abc} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 198566 by tri26112004 last updated on 22/Oct/23 $$\frac{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{1}}{{x}}+\frac{\mathrm{5}{x}}{\mathrm{3}{x}^{\mathrm{2}} −{x}−\mathrm{1}}=\frac{\mathrm{119}}{\mathrm{18}} \\ $$ Answered by Rasheed.Sindhi last updated on 22/Oct/23 $$\frac{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{1}}{{x}}+\frac{\mathrm{5}{x}}{\mathrm{3}{x}^{\mathrm{2}} −{x}−\mathrm{1}}=\frac{\mathrm{119}}{\mathrm{18}} \\…