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

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

Ovrednoti

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

Koraki rešitve

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 in 2, da dobite 102. Pomnožite 51 in 98, da dobite 4998. Pomnožite 51 in 98, da dobite 4998.

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

Izračunajte potenco 445 števila 2, da dobite 198025.

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

Zmanjšajte ulomek \frac{712}{198025} na najmanjši imenovalec tako, da izpeljete in okrajšate 89.

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

Izrazite 102\times \frac{8}{2225} kot enojni ulomek.

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

Pomnožite 102 in 8, da dobite 816.

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

Pomnožite 4998 in 0,573576436351046, da dobite 2866,735028882527908.

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

Pretvorite decimalno število 2866,735028882527908 v ulomek \frac{716683757220631977}{10000000000}. Zmanjšajte ulomek \frac{716683757220631977}{10000000000} na najmanjši imenovalec tako, da izpeljete in okrajšate 1.

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

Najmanjši skupni mnogokratnik 2225 in 250000000000000 je 22250000000000000. Pretvorite \frac{816}{2225} in \frac{716683757220631977}{250000000000000} v ulomke z imenovalcem 22250000000000000.

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

\frac{8160000000000000}{22250000000000000} in \frac{63784854392636245953}{22250000000000000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

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

Seštejte 8160000000000000 in 63784854392636245953, da dobite 63793014392636245953.

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

Pomnožite 4998 in 0,8191520442889918, da dobite 4094,1219173563810164.

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

Pomnožite 4094,1219173563810164 in 0, da dobite 0.

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

Pomnožite 0 in 4, da dobite 0.

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

Seštejte \frac{63793014392636245953}{22250000000000000} in 0, da dobite \frac{63793014392636245953}{22250000000000000}.

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

Faktoriziraj

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