Issolvi sin26/a=sin14/3,9

$$\frac { \sin 26 } { a } = \frac { \sin 14 } { 3,9 }$$

Solvi għal a

$$a = \frac{56988249082580062}{8064063186655591} = 7\frac{539806775990927}{8064063186655591} \approx 7.0669398$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

$$\frac{0.4383711467890774}{a} = \frac{0.24192189559966773}{3.9}$$

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

$$0.4383711467890774=a\times \frac{0.24192189559966773}{3.9}$$

Espandi \frac{0.24192189559966773}{3.9} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100000000000000000.

$$0.4383711467890774=a\times \frac{24192189559966773}{390000000000000000}$$

Naqqas il-frazzjoni \frac{24192189559966773}{390000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$0.4383711467890774=a\times \frac{8064063186655591}{130000000000000000}$$

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

$$a\times \frac{8064063186655591}{130000000000000000}=0.4383711467890774$$

Immultiplika ż-żewġ naħat b'\frac{130000000000000000}{8064063186655591}, ir-reċiproku ta' \frac{8064063186655591}{130000000000000000}.

$$a=0.4383711467890774\times \frac{130000000000000000}{8064063186655591}$$

Ikkonverti n-numru deċimali 0.4383711467890774 fi frazzjoni \frac{2191855733945387}{10000000000}. Naqqas il-frazzjoni \frac{2191855733945387}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{130000000000000000}{8064063186655591}$$

Immultiplika \frac{2191855733945387}{5000000000000000} b'\frac{130000000000000000}{8064063186655591} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$a=\frac{2191855733945387\times 130000000000000000}{5000000000000000\times 8064063186655591}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{2191855733945387\times 130000000000000000}{5000000000000000\times 8064063186655591}.

$$a=\frac{284941245412900310000000000000000}{40320315933277955000000000000000}$$

Naqqas il-frazzjoni \frac{284941245412900310000000000000000}{40320315933277955000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5000000000000000.

$$a=\frac{56988249082580062}{8064063186655591}$$