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

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

a uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

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

\frac{10}{0,6427876096865393} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

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

Ikkala tarafini 0,573576436351046 ga ko‘paytiring.

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

0,573576436351046 o‘nlik raqamni uning \frac{286788218175523}{10000000000} kasrga o‘giring. \frac{286788218175523}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{100000000000000000}{6427876096865393} ni \frac{286788218175523}{500000000000000} ga ko‘paytiring.

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

\frac{100000000000000000\times 286788218175523}{6427876096865393\times 500000000000000} kasridagi ko‘paytirishlarni bajaring.

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

\frac{28678821817552300000000000000000}{3213938048432696500000000000000} ulushini 500000000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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