Question Number 6681 by Tawakalitu. last updated on 11/Jul/16 Answered by Rasheed Soomro last updated on 12/Jul/16 $${Join}\:\mathrm{O}\:{and}\:\mathrm{Y}. \\ $$$$\because\:\:\mathrm{OX}=\mathrm{OY}=\mathrm{OZ}\:\:\left[{Radii}\:{of}\:{same}\:{circle}\right] \\ $$$$\therefore\:\bigtriangleup\mathrm{XOY}\:\:{and}\:\:\bigtriangleup\mathrm{ZOY}\:{are}\:{issoscel}\:{triangles}. \\ $$$$\therefore\:\:\angle\mathrm{XYO}=\angle\mathrm{OXY}=\mathrm{30}\:\:\:{and}\:\:\:\:\angle\mathrm{ZYO}=\angle\mathrm{OZY}=\mathrm{20} \\…
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Question Number 137750 by Lekhraj last updated on 06/Apr/21 Commented by som(math1967) last updated on 06/Apr/21 $$\left(\mathrm{35},\mathrm{20},\mathrm{8},\mathrm{5},\mathrm{1}\right) \\ $$$$\left(\mathrm{24},\mathrm{18},\mathrm{15},\mathrm{10},\mathrm{2}\right) \\ $$ Commented by Rasheed.Sindhi last…
Question Number 6676 by FilupSmith last updated on 11/Jul/16 $$\mathrm{A}\:\mathrm{square}\:\mathrm{of}\:\mathrm{edge}\:\mathrm{lengths}\:\mathrm{1}\:\mathrm{has}\:\mathrm{two}\:\mathrm{points} \\ $$$${A}\:\mathrm{and}\:{B},\:\mathrm{with}\:\mathrm{center}\:{O}. \\ $$$${A}\:\mathrm{and}\:{B}\:\mathrm{are}\:\mathrm{on}\:\mathrm{the}\:\mathrm{perimiter}. \\ $$$$\Delta=\mathrm{Area}\:\mathrm{of}\:\bigtriangleup{ABO}. \\ $$$$ \\ $$$$\mathrm{If}\:{A}\:\mathrm{and}\:{B}\:\mathrm{are}\:\mathrm{random},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{average} \\ $$$$\mathrm{area}\:\mathrm{of}\:\Delta? \\ $$ Terms…
Question Number 137745 by bemath last updated on 06/Apr/21 $$ \\ $$Each of the digits 2, 4, 6, and 8 can be used once and…
Question Number 137746 by AzizMuzeifa last updated on 06/Apr/21 Answered by bemath last updated on 06/Apr/21 $$\mathrm{1}.{x}^{\mathrm{2}} +\mathrm{1}.{x}\:=\:\mathrm{1}.\mathrm{4}^{\mathrm{3}} +\mathrm{0}+\mathrm{2}.\mathrm{4}+\mathrm{0} \\ $$$${x}^{\mathrm{2}} +{x}−\mathrm{72}=\mathrm{0} \\ $$$$\left({x}+\mathrm{9}\right)\left({x}−\mathrm{8}\right)=\mathrm{0} \\…
Question Number 6672 by FilupSmith last updated on 11/Jul/16 $$\mathrm{If}\:\mathrm{you}\:\mathrm{pick}\:\mathrm{two}\:\mathrm{random}\:\mathrm{points}\:\mathrm{on}\:\mathrm{a}\:\mathrm{circle}'\mathrm{s} \\ $$$$\mathrm{circumference}\:\mathrm{with}\:\mathrm{radius}\:\mathrm{1},\:\mathrm{what}\:\mathrm{is} \\ $$$$\mathrm{the}\:\mathrm{average}\:\mathrm{area}\:\mathrm{between}\:\mathrm{the} \\ $$$$\mathrm{two}\:\mathrm{points}\:\mathrm{and}\:\mathrm{the}\:\mathrm{origin}? \\ $$ Commented by Yozzii last updated on 11/Jul/16…
Question Number 137741 by bemath last updated on 06/Apr/21 $$ \\ $$How do I use the Lagrange multiplier method to find the maximum of the…
Question Number 137743 by bemath last updated on 06/Apr/21 $$ \\ $$ find the max and min of f(x,y)=81x^2+y^2, subject 4x^2+y^2=9 Answered by EDWIN88 last updated…
Question Number 6668 by janzmir6996 last updated on 10/Jul/16 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}cos}\:\mathrm{2}{x}/\mathrm{sin}\:{x}\mathrm{2} \\ $$ Commented by Rasheed Soomro last updated on 10/Jul/16 $${Do}\:{you}\:{mean}\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\mathrm{cos}\:\mathrm{2}{x}/\mathrm{sin}\:{x}^{\mathrm{2}} \:\:\:? \\…