Question Number 28640 by sk9236421@gmail.com last updated on 28/Jan/18 $$\mathrm{Each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{vectors}\:\boldsymbol{\mathrm{a}}, \\ $$$$\boldsymbol{\mathrm{b}}\:\mathrm{and}\:\boldsymbol{\mathrm{c}}\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{60}°.\:\mathrm{If}\:\mid\boldsymbol{\mathrm{a}}\mid=\mathrm{4},\:\mid\boldsymbol{\mathrm{b}}\mid=\mathrm{2} \\ $$$$\mathrm{and}\:\mid\boldsymbol{\mathrm{c}}\mid=\mathrm{6},\:\mathrm{then}\:\mathrm{the}\:\mathrm{modulus}\:\mathrm{of} \\ $$$$\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}\:\:\mathrm{is} \\ $$ Commented by ajfour last updated on 28/Jan/18…
Question Number 27961 by 8/mln(naing)060691 last updated on 17/Jan/18 $${A}\:\mathrm{and}\:{B}\:\mathrm{play}\:\mathrm{a}\:\mathrm{game}\:\mathrm{where}\:\mathrm{each}\:\mathrm{is} \\ $$$$\mathrm{asked}\:\mathrm{to}\:\mathrm{select}\:\mathrm{a}\:\mathrm{number}\:\mathrm{from}\:\mathrm{1}\:\mathrm{to}\:\mathrm{25}. \\ $$$$\mathrm{If}\:\mathrm{the}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{match},\:\mathrm{both}\:\mathrm{of}\:\mathrm{them} \\ $$$$\mathrm{win}\:\mathrm{a}\:\mathrm{prize}.\:\mathrm{The}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{they} \\ $$$$\mathrm{will}\:\mathrm{not}\:\mathrm{win}\:\mathrm{a}\:\mathrm{prize}\:\mathrm{in}\:\mathrm{a}\:\mathrm{single}\:\mathrm{trial}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy…
Question Number 93330 by Shakhzod last updated on 12/May/20 $$\mathrm{A}\:\mathrm{committee}\:\mathrm{of}\:\mathrm{five}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{chosen}\:\mathrm{from} \\ $$$$\mathrm{a}\:\mathrm{group}\:\mathrm{of}\:\:\mathrm{9}\:\mathrm{people}.\:\mathrm{The}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{married}\:\mathrm{couple}\:\mathrm{will}\:\mathrm{either} \\ $$$$\mathrm{serve}\:\mathrm{together}\:\mathrm{or}\:\mathrm{not}\:\mathrm{at}\:\mathrm{all}\:\mathrm{is} \\ $$ Answered by prakash jain last updated on…
Question Number 27667 by 786786AM last updated on 12/Jan/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{ex}−\mathrm{radii}\:\:{r}_{\mathrm{1}} \:,\:{r}_{\mathrm{2}} \:,\:{r}_{\mathrm{3}} \:\mathrm{of}\:\bigtriangleup{ABC} \\ $$$$\mathrm{are}\:\mathrm{in}\:\mathrm{HP},\:\mathrm{then}\:\mathrm{its}\:\mathrm{sides}\:\mathrm{are}\:\mathrm{in} \\ $$ Answered by Tinkutara last updated on 12/Jan/18 Terms…
Question Number 27604 by 0722136841 last updated on 10/Jan/18 $$\mathrm{Let}\: \\ $$$${S}_{{n}} =\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{3}} }\:+\:\frac{\mathrm{1}+\mathrm{2}}{\mathrm{1}^{\mathrm{3}} +\mathrm{2}^{\mathrm{3}} }\:+…+\frac{\mathrm{1}+\mathrm{2}+…+{n}}{\mathrm{1}^{\mathrm{3}} +\mathrm{2}^{\mathrm{3}} +…+{n}^{\mathrm{3}} };\:{n}=\mathrm{1},\mathrm{2},\mathrm{3},.. \\ $$$$\mathrm{Then}\:{S}_{{n}} \:\mathrm{is}\:\mathrm{greater}\:\mathrm{than} \\ $$ Commented…
Question Number 27563 by theconceptofmathematics last updated on 09/Jan/18 $$\mathrm{The}\:\mathrm{absolute}\:\mathrm{value}\:\mathrm{of}\:\underset{\mathrm{10}} {\overset{\mathrm{19}} {\int}}\:\frac{\mathrm{cos}\:{x}}{\mathrm{1}+{x}^{\mathrm{8}} }\:{dx}\:\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 27524 by julli deswal last updated on 08/Jan/18 $$\mathrm{If}\:{x}\:\mathrm{is}\:\mathrm{real},\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of} \\ $$$$\frac{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{9}{x}+\mathrm{17}}{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{9}{x}+\mathrm{7}}\:\:\mathrm{is} \\ $$ Answered by prakash jain last updated on 08/Jan/18…
Question Number 27397 by julli deswal last updated on 06/Jan/18 $$\mathrm{The}\:\mathrm{roots}\:\mathrm{of}\:{x}^{\mathrm{2}} −\left({a}+\mathrm{1}\right){x}+{b}^{\mathrm{2}} =\mathrm{0}\:\mathrm{are} \\ $$$$\mathrm{equal}.\:\mathrm{Then}\:\mathrm{which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\:{a}\:\:\mathrm{and}\:\:{b}\:\:. \\ $$ Answered by jota@ last updated on…
Question Number 27296 by julli deswal last updated on 04/Jan/18 $$\frac{\mathrm{sin}^{\mathrm{2}} \mathrm{3}{A}}{\mathrm{sin}^{\mathrm{2}} {A}}\:−\:\frac{\mathrm{cos}^{\mathrm{2}} \mathrm{3}{A}}{\mathrm{cos}^{\mathrm{2}} {A}}\:=\: \\ $$ Commented by abdo imad last updated on 04/Jan/18…
Question Number 27295 by iy last updated on 04/Jan/18 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral} \\ $$$$\underset{\:\mathrm{0}} {\overset{\pi} {\int}}\:\:\frac{\mathrm{1}}{{a}^{\mathrm{2}} −\mathrm{2}{a}\:\mathrm{cos}\:{x}+\mathrm{1}}\:{dx}\:\:\left({a}<\:\mathrm{1}\right)\:\mathrm{is} \\ $$ Commented by abdo imad last updated on 04/Jan/18…