Riješi a/sin35^circ=10/sin40^circ

$$\frac { a } { \sin 35 ^ { \circ } } = \frac { 10 } { \sin 40 ^ { \circ } }$$

Riješite za a

$$a = \frac{57357643635104600}{6427876096865393} = 8\frac{5934634860181456}{6427876096865393} \approx 8,923265286$$

Koraci za rješavanje linearne jednačine

Evaluate trigonometric functions in the problem

$$\frac{a}{0,573576436351046} = \frac{10}{0,6427876096865393}$$

Proširite \frac{10}{0,6427876096865393} množenjem i brojioca i dijeljenika sa 10000000000000000.

$$\frac{a}{0,573576436351046}=\frac{100000000000000000}{6427876096865393}$$

Pomnožite obje strane s 0,573576436351046.

$$a=\frac{100000000000000000}{6427876096865393}\times 0,573576436351046$$

Konvertirajte decimalni broj 0,573576436351046 u njegovo racionalno predstavljanje \frac{286788218175523}{10000000000}. Svedite razlomak \frac{286788218175523}{10000000000} na najprostije elemente rastavlјanjem i kraćenjem 1.

$$a=\frac{100000000000000000}{6427876096865393}\times \frac{286788218175523}{500000000000000}$$

Pomnožite \frac{100000000000000000}{6427876096865393} i \frac{286788218175523}{500000000000000} tako što ćete pomnožiti brojilac s brojiocem i imenilac s imeniocem.

$$a=\frac{100000000000000000\times 286788218175523}{6427876096865393\times 500000000000000}$$

Izvršite množenja u razlomku \frac{100000000000000000\times 286788218175523}{6427876096865393\times 500000000000000}.

$$a=\frac{28678821817552300000000000000000}{3213938048432696500000000000000}$$

Svedite razlomak \frac{28678821817552300000000000000000}{3213938048432696500000000000000} na najprostije elemente rastavlјanjem i kraćenjem 500000000000000.

$$a=\frac{57357643635104600}{6427876096865393}$$