Lahenda phi=(4500N*C^{-1})(12336*10^{-4}m^2)cos{tan^-1(185*10^-2m)/(frac{122{2}*10^-2m)}}

$$\phi = ( 4500 N \cdot C ^ { - 1 } ) ( 12336 \times 10 ^ { - 4 } m ^ { 2 } ) \cos \{ \tan ^ { - 1 } \frac { ( 185 \times 10 ^ { - 2 } m ) } { ( \frac { 122 } { 2 } \times 10 ^ { - 2 } m ) } \}$$

Lahendage ja leidke N

$$N=\frac{5\sqrt{37946}Cϕ}{1693116m^{2}}$$

$$C\neq 0\text{ and }m\neq 0$$

Juhised lineaarvõrrandi lahendamiseks

Korrutage 4500 ja 12336, et leida 55512000.

$$ϕ=55512000NC^{-1}\times 10^{-4}m^{2}\cos(\arctan(\frac{185\times 10^{-2}m}{\frac{122}{2}\times 10^{-2}m}))$$

Arvutage -4 aste 10 ja leidke \frac{1}{10000}.

$$ϕ=55512000NC^{-1}\times \frac{1}{10000}m^{2}\cos(\arctan(\frac{185\times 10^{-2}m}{\frac{122}{2}\times 10^{-2}m}))$$

Korrutage 55512000 ja \frac{1}{10000}, et leida \frac{27756}{5}.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185\times 10^{-2}m}{\frac{122}{2}\times 10^{-2}m}))$$

Arvutage -2 aste 10 ja leidke \frac{1}{100}.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185\times \frac{1}{100}m}{\frac{122}{2}\times 10^{-2}m}))$$

Korrutage 185 ja \frac{1}{100}, et leida \frac{37}{20}.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{\frac{122}{2}\times 10^{-2}m}))$$

Jagage 122 väärtusega 2, et leida 61.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{61\times 10^{-2}m}))$$

Arvutage -2 aste 10 ja leidke \frac{1}{100}.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{61\times \frac{1}{100}m}))$$

Korrutage 61 ja \frac{1}{100}, et leida \frac{61}{100}.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{\frac{61}{100}m}))$$

Taandage m nii lugejas kui ka nimetajas.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}}{\frac{61}{100}}))$$

Jagage \frac{37}{20} väärtusega \frac{61}{100}, korrutades \frac{37}{20} väärtuse \frac{61}{100} pöördväärtusega.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{37}{20}\times \frac{100}{61}))$$

Korrutage \frac{37}{20} ja \frac{100}{61}, et leida \frac{185}{61}.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185}{61}))$$

Vahetage pooled nii, et kõik muutuvad liikmed asuksid vasakul.

$$\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185}{61}))=ϕ$$

Võrrand on standardkujul.

$$\frac{27756\cos(\arctan(\frac{185}{61}))m^{2}}{5C}N=ϕ$$

Jagage mõlemad pooled \frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61}))-ga.

$$\frac{\frac{27756\cos(\arctan(\frac{185}{61}))m^{2}}{5C}N\times 5C}{27756\cos(\arctan(\frac{185}{61}))m^{2}}=\frac{ϕ\times 5C}{27756\cos(\arctan(\frac{185}{61}))m^{2}}$$

\frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61}))-ga jagamine võtab \frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61}))-ga korrutamise tagasi.

$$N=\frac{ϕ\times 5C}{27756\cos(\arctan(\frac{185}{61}))m^{2}}$$

Jagage ϕ väärtusega \frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61})).

$$N=\frac{5\sqrt{37946}Cϕ}{1693116m^{2}}$$

Lahendage ja leidke C

$$\left\{\begin{matrix}C=\frac{846558\sqrt{37946}Nm^{2}}{94865ϕ}\text{, }&m\neq 0\text{ and }N\neq 0\text{ and }ϕ\neq 0\\C\neq 0\text{, }&m\neq 0\text{ and }ϕ=0\text{ and }N=0\end{matrix}\right,$$