Issolvi sin101/a=sin31/3.9

$$\frac { \sin 101 } { a } = \frac { \sin 31 } { 3.9 }$$

Solvi għal a

$$a = \frac{6380576692409816}{858396791516757} = 7\frac{371799151792517}{858396791516757} \approx 7.433132038$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

$$\frac{0.981627183447664}{a} = \frac{0.5150380749100542}{3.9}$$

Il-varjabbli a ma jistax ikun ugwali għal 0 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'a.

$$0.981627183447664=a\times \frac{0.5150380749100542}{3.9}$$

Espandi \frac{0.5150380749100542}{3.9} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

$$0.981627183447664=a\times \frac{5150380749100542}{39000000000000000}$$

Naqqas il-frazzjoni \frac{5150380749100542}{39000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$0.981627183447664=a\times \frac{858396791516757}{6500000000000000}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$a\times \frac{858396791516757}{6500000000000000}=0.981627183447664$$

Immultiplika ż-żewġ naħat b'\frac{6500000000000000}{858396791516757}, ir-reċiproku ta' \frac{858396791516757}{6500000000000000}.

$$a=0.981627183447664\times \frac{6500000000000000}{858396791516757}$$

Ikkonverti n-numru deċimali 0.981627183447664 fi frazzjoni \frac{61351698965479}{10000000000}. Naqqas il-frazzjoni \frac{61351698965479}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

$$a=\frac{61351698965479}{62500000000000}\times \frac{6500000000000000}{858396791516757}$$

Immultiplika \frac{61351698965479}{62500000000000} b'\frac{6500000000000000}{858396791516757} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$a=\frac{61351698965479\times 6500000000000000}{62500000000000\times 858396791516757}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{61351698965479\times 6500000000000000}{62500000000000\times 858396791516757}.

$$a=\frac{398786043275613500000000000000}{53649799469797312500000000000}$$

Naqqas il-frazzjoni \frac{398786043275613500000000000000}{53649799469797312500000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 62500000000000.

$$a=\frac{6380576692409816}{858396791516757}$$