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

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

Arvuta

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

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Korrutage 51 ja 2, et leida 102. Korrutage 51 ja 98, et leida 4998. Korrutage 51 ja 98, et leida 4998.

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

Arvutage 2 aste 445 ja leidke 198025.

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

Taandage murd \frac{712}{198025} vähimale ühiskordsele, eraldades ja taandades arvu 89.

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

Avaldage 102\times \frac{8}{2225} ühe murdarvuna.

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

Korrutage 102 ja 8, et leida 816.

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

Korrutage 4998 ja 0,573576436351046, et leida 2866,735028882527908.

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

Teisendage kümnendarv 2866,735028882527908 murdarvuks \frac{716683757220631977}{10000000000}. Taandage murd \frac{716683757220631977}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

2225 ja 250000000000000 vähim ühiskordne on 22250000000000000. Teisendage \frac{816}{2225} ja \frac{716683757220631977}{250000000000000} murdarvudeks, mille nimetaja on 22250000000000000.

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

Kuna murdudel \frac{8160000000000000}{22250000000000000} ja \frac{63784854392636245953}{22250000000000000} on sama nimetaja, liitke nende lugejad.

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

Liitke 8160000000000000 ja 63784854392636245953, et leida 63793014392636245953.

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

Korrutage 4998 ja 0,8191520442889918, et leida 4094,1219173563810164.

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

Korrutage 4094,1219173563810164 ja 0, et leida 0.

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

Korrutage 0 ja 4, et leida 0.

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

Liitke \frac{63793014392636245953}{22250000000000000} ja 0, et leida \frac{63793014392636245953}{22250000000000000}.

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

Lahuta teguriteks

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