Question Number 39346 by ajfour last updated on 05/Jul/18 Commented by math1967 last updated on 05/Jul/18 $${Is}\:\theta=\mathrm{2sin}^{−\mathrm{1}} \left(\frac{\mathrm{1}}{\mathrm{4}}\right)\:? \\ $$ Commented by ajfour last updated…
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Question Number 39303 by behi83417@gmail.com last updated on 05/Jul/18 Commented by behi83417@gmail.com last updated on 05/Jul/18 $$\boldsymbol{{equaliteral}}\:\boldsymbol{{triangle}}\:\boldsymbol{{with}}\:\boldsymbol{{sides}}: \\ $$$$\boldsymbol{{BC}}=\mathrm{1},\boldsymbol{{rotates}}\:\boldsymbol{{about}}\::\boldsymbol{{B}},\boldsymbol{{at}}\:\boldsymbol{{angle}}:\mathrm{15}^{\bullet} \\ $$$$\left.\mathrm{1}\right)\boldsymbol{{find}}\:\boldsymbol{{common}}\:\boldsymbol{{area}}\:\boldsymbol{{between}} \\ $$$$\boldsymbol{{rest}}\:\boldsymbol{{and}}\:\boldsymbol{{rotated}}\:\boldsymbol{{case}}. \\ $$$$\left.\mathrm{2}\right)\boldsymbol{{yes}}\:\boldsymbol{{or}}\:\boldsymbol{{no}}!…
Question Number 170374 by cortano1 last updated on 22/May/22 Commented by mr W last updated on 22/May/22 $$\mathrm{tan}\:{x}=\frac{\mathrm{tan}\:\mathrm{40}}{\mathrm{1}+\frac{\mathrm{tan}\:\mathrm{40}}{\mathrm{tan}\:\mathrm{30}}}\:\Rightarrow{x}\approx\mathrm{18}.\mathrm{88}° \\ $$ Commented by Tawa11 last updated…
Question Number 170369 by cortano1 last updated on 22/May/22 Answered by som(math1967) last updated on 22/May/22 $$\:{sin}\mathrm{10}=\frac{{b}}{\mathrm{2}{a}} \\ $$$$\:\mathrm{3}{sin}\mathrm{10}−\mathrm{4}{sin}^{\mathrm{3}} \mathrm{10}={sin}\mathrm{30} \\ $$$$\Rightarrow\frac{\mathrm{3}{b}}{\mathrm{2}{a}}\:−\frac{\mathrm{4}{b}^{\mathrm{3}} }{\mathrm{8}{a}^{\mathrm{3}} }=\frac{\mathrm{1}}{\mathrm{2}} \\…
Question Number 39300 by behi83417@gmail.com last updated on 05/Jul/18 Answered by MrW3 last updated on 05/Jul/18 $${a}\:{square}\:{can}\:{inscribe}\:{every}\:{triangle}. \\ $$$${so}\:{the}\:{question}\:{is} \\ $$$${if}\:{it}\:{is}\:{possible}\:{to}\:{build}\:{a}\:{triangle}\: \\ $$$${whose}\:{sides}\:{are}\:{three}\:{consecutive}\:{odd} \\ $$$$\left({or}\:{even}\right)\:{numbers}.…
Question Number 170344 by nadovic last updated on 21/May/22 $${Is}\:{a}\:{semicircle}\:{a}\:{sector}\:{or}\:{a}\: \\ $$$${segment}? \\ $$ Commented by Rasheed.Sindhi last updated on 21/May/22 $$\mathcal{B}{oth}. \\ $$ Answered…
Question Number 104769 by mr W last updated on 23/Jul/20 Commented by mr W last updated on 23/Jul/20 $${find}\:{the}\:{coordinates}\:{of}\:{the}\:{image}\:{B}'\: \\ $$$${of}\:{the}\:{point}\:{B}\left({p},{q}\right)\:{in}\:{the}\:{mirror} \\ $$$${y}={x}^{\mathrm{2}} \:{for}\:{an}\:{observer}\:{at}\:{the}\:{point} \\…
Question Number 39177 by ajfour last updated on 03/Jul/18 Commented by ajfour last updated on 03/Jul/18 $${Find}\:\boldsymbol{{x}}\:{and}\:{radius}\:\boldsymbol{{R}}\:{of}\:{semixircle} \\ $$$${in}\:{terms}\:{of}\:\boldsymbol{{l}},\:\boldsymbol{\alpha},\:{and}\:\mathrm{1}. \\ $$ Commented by MJS last…
Question Number 39104 by behi83417@gmail.com last updated on 02/Jul/18 Commented by behi83417@gmail.com last updated on 02/Jul/18 $$\overset{\wedge} {\boldsymbol{{B}}}=\mathrm{100}^{\bullet} ,\boldsymbol{{AC}}=\mathrm{10},\boldsymbol{{AD}}=\boldsymbol{{DB}}=\boldsymbol{{BE}}=\boldsymbol{{EC}}. \\ $$$$\:\:\:\:\Rightarrow\measuredangle\boldsymbol{{DBE}}=?,\boldsymbol{{DE}}=? \\ $$$$\left(\boldsymbol{{is}}\:\boldsymbol{{there}}\:\boldsymbol{{additional}}\:\boldsymbol{{conditions}}\right. \\ $$$$\left.\boldsymbol{{needed}}?\right)…