Menu Close

Category: None

Prove-that-pi-lt-22-7-

Question Number 116437 by ZiYangLee last updated on 04/Oct/20 $$\mathrm{Prove}\:\mathrm{that}\:\pi<\frac{\mathrm{22}}{\mathrm{7}} \\ $$ Answered by floor(10²Eta[1]) last updated on 04/Oct/20 $$\mathrm{let}'\mathrm{s}\:\mathrm{look}\:\mathrm{at}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{and}\:\mathrm{solve}\:\mathrm{it}: \\ $$$$\mathrm{I}\left(\mathrm{x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{x}^{\mathrm{4}} \left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{4}}…

Question-181954

Question Number 181954 by yaga7 last updated on 02/Dec/22 Answered by Acem last updated on 02/Dec/22 Answered by Ritzy last updated on 02/Dec/22 $$\mathrm{let}\:\mathrm{the}\:\mathrm{first},\:\mathrm{the}\:\mathrm{secon}\bar {\mathrm{d}}\:\mathrm{and}\:\mathrm{the}\:\mathrm{third}\:\mathrm{displacement}\:\mathrm{be}\:\overset{\rightarrow}…

Question-181945

Question Number 181945 by SEKRET last updated on 02/Dec/22 Answered by HeferH last updated on 02/Dec/22 Commented by HeferH last updated on 02/Dec/22 $${A}\left({ABCE}\right)\:=\:\frac{\mathrm{10}\centerdot\mathrm{5}}{\mathrm{2}}\:=\:\mathrm{25}\:{u}^{\mathrm{2}} \\…

Question-181917

Question Number 181917 by yaga7 last updated on 02/Dec/22 Commented by mr W last updated on 02/Dec/22 $${F}_{{H}} =\sqrt{\mathrm{52}.\mathrm{2}^{\mathrm{2}} −\mathrm{30}^{\mathrm{2}} }\approx\mathrm{42}.\mathrm{7}\:{N} \\ $$$$\Rightarrow\:\overset{\rightarrow} {\boldsymbol{{F}}}=\mathrm{42}.\mathrm{7}\boldsymbol{{i}}+\mathrm{30}.\mathrm{0}\boldsymbol{{j}} \\…

Question-116367

Question Number 116367 by soumyasaha last updated on 03/Oct/20 Answered by mr W last updated on 03/Oct/20 $$\frac{{T}_{\mathrm{1}} }{\mathrm{sin}\:\mathrm{58}°}=\frac{{T}_{\mathrm{2}} }{\mathrm{sin}\:\mathrm{40}°}=\frac{\mathrm{100}}{\mathrm{sin}\:\left(\mathrm{50}°+\mathrm{32}°\right)} \\ $$$$\Rightarrow{T}_{\mathrm{1}} =\frac{\mathrm{sin}\:\mathrm{58}°\:×\mathrm{100}}{\mathrm{sin}\:\mathrm{82}°}=\mathrm{85}.\mathrm{64}\:{lb} \\ $$$$\Rightarrow{T}_{\mathrm{2}}…