Question Number 201907 by mnjuly1970 last updated on 15/Dec/23 Answered by Rasheed.Sindhi last updated on 15/Dec/23 $$\bullet{Radius}\:{of}\:{Semi}-{circle}\:{R}=\:\frac{\mathrm{10}}{\mathrm{2}}=\mathrm{5}\:{cm} \\ $$$$\bullet{let}\:{radous}\:{of}\:{greater}\:{quarter}-{circle}={r}_{\mathrm{1}} \\ $$$$\left({R}+{r}_{\mathrm{1}} \right)^{\mathrm{2}} =\mathrm{10}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}} =\mathrm{125}…
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Question Number 201934 by aurpeyz last updated on 15/Dec/23 Commented by aurpeyz last updated on 15/Dec/23 $${By}\:{complex}\:{analysis}\:{method}. \\ $$ Terms of Service Privacy Policy Contact:…
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Question Number 201897 by mnjuly1970 last updated on 15/Dec/23 $$ \\ $$$$\:\:\:\:\:\mathrm{Q}{uestion}:\:\:{The}\:{congruence} \\ $$$$\:\:\:\:\:\:\:{equation}\:\:\:''\:\:\:\:\left(\:\mathrm{5}{a}\:+\mathrm{3}\:\right){x}\:\:\overset{\mathrm{3}{a}\:+\:\mathrm{4}} {\equiv}\:\mathrm{19}\:\:\:''\:\:{is}\:{given}. \\ $$$$\:\:\:\:\:\:\:{Find}\:{the}\:{sum}\:{of}\:{digits}\:{of}\:\: \\ $$$$\:\:\:\:\:\:\:{the}\:{smallest}\:\:{three}\:−{digit}\:{natural}\:{number}\:\:''\:{a}\:''\: \\ $$$$\:\:\:\:\:\:\:{such}\:{that}\:{the}\:{assumed}\:{equation}\:{has}\: \\ $$$$\:\:\:\:\:\:\:\:\:{no}\:\:{solution}\:\:{in}\:\:\:''\:\:\:\mathbb{Z}\:\:''. \\ $$$$…
Question Number 201898 by sonukgindia last updated on 15/Dec/23 Answered by Frix last updated on 15/Dec/23 $${I}=\mathrm{4}\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\frac{{dx}}{\mathrm{1}+\mathrm{3sin}^{\mathrm{2}} \:{x}}\:\overset{{t}=\mathrm{tan}\:{x}} {=}\:\mathrm{4}\underset{\mathrm{0}} {\overset{\infty} {\int}}\frac{{dt}}{\mathrm{4}{t}^{\mathrm{2}} +\mathrm{1}}= \\…
Question Number 201931 by hardmath last updated on 15/Dec/23 $$\mathrm{if}\:\:\:\left(\mathrm{a}−\mathrm{2}\right)^{\mathrm{2}} \:=\:\mathrm{4a} \\ $$$$\mathrm{find}:\:\:\:\mathrm{5a}\:+\:\mathrm{4}\:+\:\frac{\mathrm{16}}{\mathrm{5a}\:+\:\mathrm{4}}\:=\:? \\ $$ Answered by mr W last updated on 16/Dec/23 $${a}^{\mathrm{2}} −\mathrm{4}{a}+\mathrm{4}=\mathrm{4}{a}…
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Question Number 201892 by Abdullahrussell last updated on 15/Dec/23 Answered by NANIGOPAL last updated on 15/Dec/23 $$\mathrm{a}=\mathrm{36},\mathrm{b}=\mathrm{9},\mathrm{c}=\mathrm{24} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 201925 by Calculusboy last updated on 15/Dec/23 Commented by Calculusboy last updated on 17/Dec/23 $$\boldsymbol{{thanks}}\:\boldsymbol{{sir}} \\ $$ Commented by Frix last updated on…