Lahenda a/sin35^circ=10/sin40^circ

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

Lahendage ja leidke a

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

Juhised lineaarvõrrandi lahendamiseks

Evaluate trigonometric functions in the problem

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

Saate \frac{10}{0,6427876096865393} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

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

Korrutage mõlemad pooled 0,573576436351046-ga.

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

Teisendage kümnendarv 0,573576436351046 murdarvuks \frac{286788218175523}{10000000000}. Taandage murd \frac{286788218175523}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

Korrutage omavahel \frac{100000000000000000}{6427876096865393} ja \frac{286788218175523}{500000000000000}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

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

Tehke korrutustehted murruga \frac{100000000000000000\times 286788218175523}{6427876096865393\times 500000000000000}.

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

Taandage murd \frac{28678821817552300000000000000000}{3213938048432696500000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 500000000000000.

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