Riješi 51*2*712/445^2+51*98*sin(35pi/180)+51*98*cos(35pi/180)*04

$$51 \times 2 \times \frac{ 712 }{ { 445 }^{ 2 } } +51 \times 98 \times \sin ( \frac{ 35 \pi }{ 180 } ) +51 \times 98 \times \cos ( \frac{ 35 \pi }{ 180 } ) \times 04$$

Procijeni

$$\frac{63793014392636245953}{22250000000000000}\approx 2867,101770456$$

Koraci za rješenje

Evaluate trigonometric functions in the problem

$$51 \cdot 2 \cdot \frac{712}{{(445)} ^ {2}} + 51 \cdot 98 \cdot 0,573576436351046 + 51 \cdot 98 \cdot 0,8191520442889918 \cdot 0 \cdot 4$$

Pomnožite 51 i 2 da biste dobili 102. Pomnožite 51 i 98 da biste dobili 4998. Pomnožite 51 i 98 da biste dobili 4998.

$$102\times \frac{712}{445^{2}}+4998\times 0,573576436351046+4998\times 0,8191520442889918\times 0\times 4$$

Izračunajte 445 stepen od 2 i dobijte 198025.

$$102\times \frac{712}{198025}+4998\times 0,573576436351046+4998\times 0,8191520442889918\times 0\times 4$$

Svedite razlomak \frac{712}{198025} na najprostije elemente rastavlјanjem i kraćenjem 89.

$$102\times \frac{8}{2225}+4998\times 0,573576436351046+4998\times 0,8191520442889918\times 0\times 4$$

Izrazite 102\times \frac{8}{2225} kao jedan razlomak.

$$\frac{102\times 8}{2225}+4998\times 0,573576436351046+4998\times 0,8191520442889918\times 0\times 4$$

Pomnožite 102 i 8 da biste dobili 816.

$$\frac{816}{2225}+4998\times 0,573576436351046+4998\times 0,8191520442889918\times 0\times 4$$

Pomnožite 4998 i 0,573576436351046 da biste dobili 2866,735028882527908.

$$\frac{816}{2225}+2866,735028882527908+4998\times 0,8191520442889918\times 0\times 4$$

Konvertirajte decimalni broj 2866,735028882527908 u njegovo racionalno predstavljanje \frac{716683757220631977}{10000000000}. Svedite razlomak \frac{716683757220631977}{10000000000} na najprostije elemente rastavlјanjem i kraćenjem 1.

$$\frac{816}{2225}+\frac{716683757220631977}{250000000000000}+4998\times 0,8191520442889918\times 0\times 4$$

Najmanji zajednički množilac od 2225 i 250000000000000 je 22250000000000000. Konvertirajte \frac{816}{2225} i \frac{716683757220631977}{250000000000000} u razlomke s imeniocem 22250000000000000.

$$\frac{8160000000000000}{22250000000000000}+\frac{63784854392636245953}{22250000000000000}+4998\times 0,8191520442889918\times 0\times 4$$

Pošto \frac{8160000000000000}{22250000000000000} i \frac{63784854392636245953}{22250000000000000} imaju isti imenilac, saberite ih tako što ćete sabrati njihove brojioce.

$$\frac{8160000000000000+63784854392636245953}{22250000000000000}+4998\times 0,8191520442889918\times 0\times 4$$

Saberite 8160000000000000 i 63784854392636245953 da biste dobili 63793014392636245953.

$$\frac{63793014392636245953}{22250000000000000}+4998\times 0,8191520442889918\times 0\times 4$$

Pomnožite 4998 i 0,8191520442889918 da biste dobili 4094,1219173563810164.

$$\frac{63793014392636245953}{22250000000000000}+4094,1219173563810164\times 0\times 4$$

Pomnožite 4094,1219173563810164 i 0 da biste dobili 0.

$$\frac{63793014392636245953}{22250000000000000}+0\times 4$$

Pomnožite 0 i 4 da biste dobili 0.

$$\frac{63793014392636245953}{22250000000000000}+0$$

Saberite \frac{63793014392636245953}{22250000000000000} i 0 da biste dobili \frac{63793014392636245953}{22250000000000000}.

$$\frac{63793014392636245953}{22250000000000000}$$

Faktor

$$\frac{17 \cdot 29 \cdot 197 \cdot 479 \cdot 152363856263 \cdot 3 ^ {2}}{89 \cdot 2 ^ {13} \cdot 5 ^ {15}} = 2867\frac{2264392636243968}{22250000000000000} = 2867,1017704555616$$