Issolvi sin64^circ/10.9=sin26^circ/a

$$\frac { \sin 64 ^ { \circ } } { 10.9 } = \frac { \sin 26 ^ { \circ } } { a }$$

Solvi għal a

$$a = \frac{238912275000047183}{44939702314958350} = 5\frac{14213763425255408}{44939702314958350} \approx 5.316285215$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

$$\frac{0.898794046299167}{10.9} = \frac{0.4383711467890774}{a}$$

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

$$a\times \frac{0.898794046299167}{10.9}=0.4383711467890774$$

Espandi \frac{0.898794046299167}{10.9} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000000000000000.

$$a\times \frac{898794046299167}{10900000000000000}=0.4383711467890774$$

Immultiplika ż-żewġ naħat b'\frac{10900000000000000}{898794046299167}, ir-reċiproku ta' \frac{898794046299167}{10900000000000000}.

$$a=0.4383711467890774\times \frac{10900000000000000}{898794046299167}$$

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.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{10900000000000000}{898794046299167}$$

Immultiplika \frac{2191855733945387}{5000000000000000} b'\frac{10900000000000000}{898794046299167} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$a=\frac{2191855733945387\times 10900000000000000}{5000000000000000\times 898794046299167}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{2191855733945387\times 10900000000000000}{5000000000000000\times 898794046299167}.

$$a=\frac{23891227500004718300000000000000}{4493970231495835000000000000000}$$

Naqqas il-frazzjoni \frac{23891227500004718300000000000000}{4493970231495835000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 100000000000000.

$$a=\frac{238912275000047183}{44939702314958350}$$