Question Number 138175 by ajfour last updated on 10/Apr/21 Commented by ajfour last updated on 10/Apr/21 $${If}\:{the}\:{yellow}\:{and}\:{blue}\:{areas}\:{are} \\ $$$${equal},\:{find}\:{edge}\:{length}\:{of}\:{the} \\ $$$${blue}\:{square}.\:\left({radius}\:{of}\:{circle}=\mathrm{1}\right) \\ $$ Answered by…
Question Number 72606 by TawaTawa last updated on 30/Oct/19 Answered by mr W last updated on 30/Oct/19 Commented by mr W last updated on 30/Oct/19…
Question Number 7031 by Tawakalitu. last updated on 07/Aug/16 Commented by FilupSmith last updated on 07/Aug/16 $${my}\:{attempt} \\ $$$$\mathrm{0}<{x},{y}<\frac{\pi}{\mathrm{2}} \\ $$$${x}<{y} \\ $$$${x}−\mathrm{sin}\left({x}\right)<{y}−\mathrm{sin}\left({y}\right) \\ $$$$\:…
Question Number 138089 by Bekzod Jumayev last updated on 10/Apr/21 Commented by Bekzod Jumayev last updated on 10/Apr/21 $$\boldsymbol{{Help}}? \\ $$ Answered by mr W…
Question Number 72408 by ajfour last updated on 28/Oct/19 Commented by ajfour last updated on 28/Oct/19 $${All}\:{three}\:{coloured}\:{regions}\:{A},\:{B},\:{C} \\ $$$${have}\:{the}\:{same}\:{area}.\:{Center}\:{of} \\ $$$${circle}\:{lies}\:{on}\:{major}\:{axis}\:{of}\:{ellipse}. \\ $$$${Locate}\:{the}\:{center}\:{of}\:{circle}\:{in}\:{terms}\: \\ $$$${of}\:{ellipse}\:{parameters}\:{a}\:{and}\:{b}.…
Question Number 6830 by Rasheed Soomro last updated on 30/Jul/16 $${A},\:{B},\:{and}\:{C}\:{are}\:{three}\:{non}-{collinear}\:{points}\:{such} \\ $$$${that}\:\mid{AB}\mid={c}\:,\:\mid{BC}\mid={a}\:\:{and}\:\:\mid{CA}\mid={b}. \\ $$$${What}\:{will}\:{be}\:{the}\:{condition}\:{for}\:{a}\:{point}\:{D}\:{to}\:{be} \\ $$$${concircle}\:{with}\:{A},\:{B}\:\:{and}\:{C}\:{when}\:{all}\:{the}\:{four} \\ $$$${points}\:{belong}\:{to}\:{same}\:{plane}? \\ $$ Terms of Service Privacy…
Question Number 137893 by bemath last updated on 07/Apr/21 Answered by benjo_mathlover last updated on 08/Apr/21 $${by}\:{algebra} \\ $$$${let}\:{F}\left(\mathrm{0},\mathrm{0}\right),\:{D}\left(\mathrm{1},\mathrm{0}\right),\:{A}\left(\mathrm{0},\mathrm{1}\right),\:{C}\left(\mathrm{1},\mathrm{1}\right) \\ $$$${B}\left(\frac{\mathrm{1}}{\mathrm{2}},\mathrm{1}\right)\:,\:{E}\left(\frac{\mathrm{1}}{\mathrm{4}},\mathrm{0}\right) \\ $$$${eq}\:{of}\:{line}\:{AE}\::\:{x}+\frac{\mathrm{1}}{\mathrm{4}}{y}=\frac{\mathrm{1}}{\mathrm{4}};\: \\ $$$${eq}\:{of}\:{line}\:{FB}\::\:\:{y}=\mathrm{2}{x}\:…
Question Number 137858 by Bekzod Jumayev last updated on 07/Apr/21 Commented by mr W last updated on 07/Apr/21 $${x}=\mathrm{20}° \\ $$ Commented by mr W…
Question Number 6758 by FilupSmith last updated on 23/Jul/16 $$\mathrm{A}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{radius}\:{r}\:\mathrm{has}\:\mathrm{a}\:\mathrm{point}\:{O}\:\mathrm{as}\:\mathrm{its} \\ $$$$\mathrm{centre}.\:\mathrm{Points}\:{A}\:\mathrm{and}\:{B}\:\mathrm{are}\:\mathrm{points}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{circumference}. \\ $$$$ \\ $$$$\mathrm{For}\:\bigtriangleup{OAB},\:\overline {{OA}}=\overline {{OB}}={r},\:\overline {{AB}}={d},\:\angle{AOB}=\theta. \\ $$$$\mathrm{What}\:\mathrm{is}\:\frac{{r}}{{d}}? \\ $$…
Question Number 72294 by mr W last updated on 27/Oct/19 Commented by mr W last updated on 27/Oct/19 $${the}\:{distances}\:{from}\:{a}\:{point}\:{to}\:{three} \\ $$$${vertices}\:{of}\:{a}\:{square}\:{are}\:{known}. \\ $$$${find}\:{the}\:{side}\:{length}\:{of}\:{the}\:{square}. \\ $$…