Riješi sin26/a=sin14/3*9

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

Izračunaj a

$$a = \frac{394534032110169660}{8064063186655591} = 48\frac{7458999150701296}{8064063186655591} \approx 48,924967845$$

Koraci rješavanja linearne jednadžbe

Evaluate trigonometric functions in the problem

$$\frac{0,4383711467890774}{a} = \frac{0,24192189559966773}{3 \cdot 9}$$

Varijabla a ne može biti jednaka 0 jer nije definirano dijeljenje nulom. Pomnožite obje strane jednadžbe s a.

$$0,4383711467890774=\frac{1}{27}a\times 0,24192189559966773$$

Pretvorite decimalni broj 0,24192189559966773 u razlomak \frac{24192189559966773}{10000000000}. Skratite razlomak \frac{24192189559966773}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$0,4383711467890774=\frac{1}{27}a\times \frac{24192189559966773}{100000000000000000}$$

Pomnožite \frac{1}{27} i \frac{24192189559966773}{100000000000000000} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

$$0,4383711467890774=\frac{1\times 24192189559966773}{27\times 100000000000000000}a$$

Izvedite množenje u razlomku \frac{1\times 24192189559966773}{27\times 100000000000000000}.

$$0,4383711467890774=\frac{24192189559966773}{2700000000000000000}a$$

Skratite razlomak \frac{24192189559966773}{2700000000000000000} na najmanje vrijednosti tako da izlučite i poništite 3.

$$0,4383711467890774=\frac{8064063186655591}{900000000000000000}a$$

Zamijenite strane tako da svi izrazi s nepoznanicama budu s lijeve strane.

$$\frac{8064063186655591}{900000000000000000}a=0,4383711467890774$$

Pomnožite obje strane s \frac{900000000000000000}{8064063186655591}, recipročnim izrazom od \frac{8064063186655591}{900000000000000000}.

$$a=0,4383711467890774\times \frac{900000000000000000}{8064063186655591}$$

Pretvorite decimalni broj 0,4383711467890774 u razlomak \frac{2191855733945387}{10000000000}. Skratite razlomak \frac{2191855733945387}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{900000000000000000}{8064063186655591}$$

Pomnožite \frac{2191855733945387}{5000000000000000} i \frac{900000000000000000}{8064063186655591} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

$$a=\frac{2191855733945387\times 900000000000000000}{5000000000000000\times 8064063186655591}$$

Izvedite množenje u razlomku \frac{2191855733945387\times 900000000000000000}{5000000000000000\times 8064063186655591}.

$$a=\frac{1972670160550848300000000000000000}{40320315933277955000000000000000}$$

Skratite razlomak \frac{1972670160550848300000000000000000}{40320315933277955000000000000000} na najmanje vrijednosti tako da izlučite i poništite 5000000000000000.

$$a=\frac{394534032110169660}{8064063186655591}$$