Issolvi 5.1*2*7.12/4.45^2+5.1*9.8*sin(35pi/180)+5.1*9.8*cos(35pi/180)*0.4

$$5.1 \times 2 \times \frac{ 7.12 }{ { 4.45 }^{ 2 } } +5.1 \times 9.8 \times \sin ( \frac{ 35 \pi }{ 180 } ) +5.1 \times 9.8 \times \cos ( \frac{ 35 \pi }{ 180 } ) \times 0.4$$

Evalwa

$$\frac{1354781743213850462487}{27812500000000000000}\approx 48.711253689$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$5.1 \cdot 2 \cdot \frac{7.12}{{(4.45)} ^ {2}} + 5.1 \cdot 9.8 \cdot 0.573576436351046 + 5.1 \cdot 9.8 \cdot 0.8191520442889918 \cdot 0.4$$

Immultiplika 5.1 u 2 biex tikseb 10.2.

$$10.2\times \frac{7.12}{4.45^{2}}+5.1\times 9.8\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Ikkalkula 4.45 bil-power ta' 2 u tikseb 19.8025.

$$10.2\times \frac{7.12}{19.8025}+5.1\times 9.8\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Espandi \frac{7.12}{19.8025} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$10.2\times \frac{71200}{198025}+5.1\times 9.8\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Naqqas il-frazzjoni \frac{71200}{198025} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2225.

$$10.2\times \frac{32}{89}+5.1\times 9.8\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Ikkonverti n-numru deċimali 10.2 fi frazzjoni \frac{102}{10}. Naqqas il-frazzjoni \frac{102}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{51}{5}\times \frac{32}{89}+5.1\times 9.8\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Immultiplika \frac{51}{5} b'\frac{32}{89} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{51\times 32}{5\times 89}+5.1\times 9.8\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{51\times 32}{5\times 89}.

$$\frac{1632}{445}+5.1\times 9.8\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Immultiplika 5.1 u 9.8 biex tikseb 49.98.

$$\frac{1632}{445}+49.98\times 0.573576436351046+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Immultiplika 49.98 u 0.573576436351046 biex tikseb 28.66735028882527908.

$$\frac{1632}{445}+28.66735028882527908+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Ikkonverti n-numru deċimali 28.66735028882527908 fi frazzjoni \frac{716683757220631977}{10000000000}. Naqqas il-frazzjoni \frac{716683757220631977}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

$$\frac{1632}{445}+\frac{716683757220631977}{25000000000000000}+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

L-inqas multipli komuni ta' 445 u 25000000000000000 huwa 2225000000000000000. Ikkonverti \frac{1632}{445} u \frac{716683757220631977}{25000000000000000} fi frazzjonijiet bid-denominatur 2225000000000000000.

$$\frac{8160000000000000000}{2225000000000000000}+\frac{63784854392636245953}{2225000000000000000}+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Billi \frac{8160000000000000000}{2225000000000000000} u \frac{63784854392636245953}{2225000000000000000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{8160000000000000000+63784854392636245953}{2225000000000000000}+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Żid 8160000000000000000 u 63784854392636245953 biex tikseb 71944854392636245953.

$$\frac{71944854392636245953}{2225000000000000000}+5.1\times 9.8\times 0.8191520442889918\times 0.4$$

Immultiplika 5.1 u 9.8 biex tikseb 49.98.

$$\frac{71944854392636245953}{2225000000000000000}+49.98\times 0.8191520442889918\times 0.4$$

Immultiplika 49.98 u 0.8191520442889918 biex tikseb 40.941219173563810164.

$$\frac{71944854392636245953}{2225000000000000000}+40.941219173563810164\times 0.4$$

Immultiplika 40.941219173563810164 u 0.4 biex tikseb 16.3764876694255240656.

$$\frac{71944854392636245953}{2225000000000000000}+16.3764876694255240656$$

Ikkonverti n-numru deċimali 16.3764876694255240656 fi frazzjoni \frac{10235304793390952541}{10000000000}. Naqqas il-frazzjoni \frac{10235304793390952541}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

$$\frac{71944854392636245953}{2225000000000000000}+\frac{10235304793390952541}{625000000000000000}$$

L-inqas multipli komuni ta' 2225000000000000000 u 625000000000000000 huwa 55625000000000000000. Ikkonverti \frac{71944854392636245953}{2225000000000000000} u \frac{10235304793390952541}{625000000000000000} fi frazzjonijiet bid-denominatur 55625000000000000000.

$$\frac{1798621359815906148825}{55625000000000000000}+\frac{910942126611794776149}{55625000000000000000}$$

Billi \frac{1798621359815906148825}{55625000000000000000} u \frac{910942126611794776149}{55625000000000000000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1798621359815906148825+910942126611794776149}{55625000000000000000}$$

Żid 1798621359815906148825 u 910942126611794776149 biex tikseb 2709563486427700924974.

$$\frac{2709563486427700924974}{55625000000000000000}$$

Naqqas il-frazzjoni \frac{2709563486427700924974}{55625000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1354781743213850462487}{27812500000000000000}$$

Fattur

$$\frac{3 \cdot 17 \cdot 227 \cdot 3557 \cdot 45599 \cdot 721496317}{89 \cdot 2 ^ {14} \cdot 5 ^ {19}} = 48\frac{1.9781743213850396 \times 10^{19}}{2.78125 \times 10^{19}} = 48.71125368858788$$