Question Number 194067 by Rupesh123 last updated on 27/Jun/23 Answered by som(math1967) last updated on 27/Jun/23 $$\:{x}^{\mathrm{2}} +\mathrm{10}^{\mathrm{2}} =\mathrm{2}\left(\mathrm{10}−{x}\right)^{\mathrm{2}} \\ $$$$\Rightarrow{x}^{\mathrm{2}} −\mathrm{40}{x}+\mathrm{100}=\mathrm{0} \\ $$$$\:{x}=\mathrm{10}\left(\mathrm{2}−\sqrt{\mathrm{3}}\right) \\…
Question Number 193880 by Mingma last updated on 22/Jun/23 Answered by Subhi last updated on 22/Jun/23 $${put}\:{length}\:{of}\:{each}\:{side}\:=\:{l} \\ $$$${BAF}\:=\:\mathrm{120}\:\Rrightarrow\:{AFB}\:=\:{ABF}\:=\:\frac{\mathrm{180}−\mathrm{120}}{\mathrm{2}}=\mathrm{30} \\ $$$$\frac{{BF}}{{sin}\left(\mathrm{120}\right)}=\frac{{l}}{{sin}\left(\mathrm{30}\right)}\:\Rrightarrow\:{BF}\:=\:\sqrt{\mathrm{3}}\:{l}\: \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{l}^{\mathrm{2}} \:.\:{sin}\left(\mathrm{120}\right)=\mathrm{2}\:\:\Rrightarrow\:{l}\:=\:\sqrt{\frac{\mathrm{8}\sqrt{\mathrm{3}}}{\mathrm{3}}} \\…
Question Number 193883 by byaw last updated on 22/Jun/23 $$ \\ $$If a 9000kg water flows in a minute through a pipe of cross sectional…
Question Number 193908 by Rupesh123 last updated on 22/Jun/23 Answered by Subhi last updated on 22/Jun/23 $${put}\:{each}\:{side}\:=\:{l} \\ $$$${BH}\:=\:{AG}\:=\:\frac{{l}}{\mathrm{2}} \\ $$$${G}\hat {{A}K}={M}\hat {{B}H}=\mathrm{120}−\mathrm{90}=\mathrm{30} \\ $$$${HM}\:=\:{GK}\:=\:\frac{{l}}{\mathrm{4}}\:\left({opposite}\:{to}\:{angle}\:\mathrm{30}\:{in}\:{a}\:{right}\:{triangle}\right)…
Question Number 193754 by Mingma last updated on 19/Jun/23 Answered by talminator2856792 last updated on 19/Jun/23 $$\:\:\mathrm{let}\:{R},\:{r}\:\:\mathrm{represent}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{big}\:\mathrm{semicircle}\:\:\: \\ $$$$\:\:\mathrm{and}\:\mathrm{small}\:\mathrm{semicricle},\:\mathrm{respectively}. \\ $$$$\:\:\mathrm{by}\:\mathrm{pythagorean}\:\mathrm{theorem}: \\ $$$$\:\:{R}\:=\:\sqrt{\left(\frac{{r}\sqrt{\mathrm{3}}}{\mathrm{2}}\right)^{\mathrm{2}} \:+\:\left(\mathrm{3}{r}\right)^{\mathrm{2}} \:}…
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Question Number 193448 by Mingma last updated on 14/Jun/23 Answered by cherokeesay last updated on 14/Jun/23 Commented by Mingma last updated on 14/Jun/23 Perfect �� Terms…
Question Number 193398 by Mingma last updated on 12/Jun/23 Answered by Subhi last updated on 13/Jun/23 $$ \\ $$$${put}\:\left({F}\hat {{C}E}\right)={y}=\left({C}\hat {{E}F}\right) \\ $$$$\left({F}\hat {{E}D}\right)=\left({F}\hat {{D}E}\right)=\left({E}\hat…
Question Number 193387 by Mingma last updated on 12/Jun/23 Commented by Frix last updated on 12/Jun/23 $$\mathrm{The}\:\mathrm{circle}\:\mathrm{is}\:\mathrm{the}\:\mathrm{circumcircle}\:\mathrm{of}\:\mathrm{a}\:\mathrm{triangle}: \\ $$$${a}=\mathrm{6} \\ $$$${b}=\mathrm{6}\sqrt{\mathrm{7}} \\ $$$${c}=\mathrm{18} \\ $$$$\Rightarrow…