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

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

I-evaluate

$$\frac{63793014392636245953}{22250000000000000}\approx 2867.101770456$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$51 \cdot 2 \cdot \frac{712}{{(445)} ^ {2}} + 51 \cdot 98 \cdot 0.573576436351046 + 51 \cdot 98 \cdot 0.8191520442889918 \cdot 0 \cdot 4$$

I-multiply ang 51 at 2 para makuha ang 102. I-multiply ang 51 at 98 para makuha ang 4998. I-multiply ang 51 at 98 para makuha ang 4998.

$$102\times \frac{712}{445^{2}}+4998\times 0.573576436351046+4998\times 0.8191520442889918\times 0\times 4$$

Kalkulahin ang 445 sa power ng 2 at kunin ang 198025.

$$102\times \frac{712}{198025}+4998\times 0.573576436351046+4998\times 0.8191520442889918\times 0\times 4$$

Bawasan ang fraction \frac{712}{198025} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 89.

$$102\times \frac{8}{2225}+4998\times 0.573576436351046+4998\times 0.8191520442889918\times 0\times 4$$

Ipakita ang 102\times \frac{8}{2225} bilang isang single fraction.

$$\frac{102\times 8}{2225}+4998\times 0.573576436351046+4998\times 0.8191520442889918\times 0\times 4$$

I-multiply ang 102 at 8 para makuha ang 816.

$$\frac{816}{2225}+4998\times 0.573576436351046+4998\times 0.8191520442889918\times 0\times 4$$

I-multiply ang 4998 at 0.573576436351046 para makuha ang 2866.735028882527908.

$$\frac{816}{2225}+2866.735028882527908+4998\times 0.8191520442889918\times 0\times 4$$

I-convert ang decimal number na 2866.735028882527908 sa fraction na \frac{716683757220631977}{10000000000}. Bawasan ang fraction \frac{716683757220631977}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

$$\frac{816}{2225}+\frac{716683757220631977}{250000000000000}+4998\times 0.8191520442889918\times 0\times 4$$

Ang least common multiple ng 2225 at 250000000000000 ay 22250000000000000. I-convert ang \frac{816}{2225} at \frac{716683757220631977}{250000000000000} sa mga fraction na may denominator na 22250000000000000.

$$\frac{8160000000000000}{22250000000000000}+\frac{63784854392636245953}{22250000000000000}+4998\times 0.8191520442889918\times 0\times 4$$

Dahil may parehong denominator ang \frac{8160000000000000}{22250000000000000} at \frac{63784854392636245953}{22250000000000000}, pagsamahin ang mga ito sa pamamagitan ng pagsasama sa mga numerator ng mga ito.

$$\frac{8160000000000000+63784854392636245953}{22250000000000000}+4998\times 0.8191520442889918\times 0\times 4$$

Idagdag ang 8160000000000000 at 63784854392636245953 para makuha ang 63793014392636245953.

$$\frac{63793014392636245953}{22250000000000000}+4998\times 0.8191520442889918\times 0\times 4$$

I-multiply ang 4998 at 0.8191520442889918 para makuha ang 4094.1219173563810164.

$$\frac{63793014392636245953}{22250000000000000}+4094.1219173563810164\times 0\times 4$$

I-multiply ang 4094.1219173563810164 at 0 para makuha ang 0.

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

I-multiply ang 0 at 4 para makuha ang 0.

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

Idagdag ang \frac{63793014392636245953}{22250000000000000} at 0 para makuha ang \frac{63793014392636245953}{22250000000000000}.

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

I-factor

$$\frac{17 \cdot 29 \cdot 197 \cdot 479 \cdot 152363856263 \cdot 3 ^ {2}}{89 \cdot 2 ^ {13} \cdot 5 ^ {15}} = 2867\frac{2264392636243968}{22250000000000000} = 2867.1017704555616$$