Solve sin40^circ=1468m/s

$$\sin 40 ^ { \circ } = 1468 m / s$$

Solve for m

$$m=\frac{6427876096865393s}{14680000000000000000}$$

$$s\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.6427876096865393 = 1468 m / s$$

Multiply both sides of the equation by s.

$$0.6427876096865393s=1468m$$

Swap sides so that all variable terms are on the left hand side.

$$1468m=0.6427876096865393s$$

The equation is in standard form.

$$1468m=\frac{6427876096865393s}{10000000000000000}$$

Divide both sides by 1468.

$$\frac{1468m}{1468}=\frac{6427876096865393s}{1468\times 10000000000000000}$$

Dividing by 1468 undoes the multiplication by 1468.

$$m=\frac{6427876096865393s}{1468\times 10000000000000000}$$

Divide \frac{6427876096865393s}{10000000000000000} by 1468.

$$m=\frac{6427876096865393s}{14680000000000000000}$$

Solve for s

$$s=\frac{14680000000000000000m}{6427876096865393}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.6427876096865393 = 1468 m / s$$

Variable s cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by s.

$$0.6427876096865393s=1468m$$

Divide both sides of the equation by 0.6427876096865393, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.6427876096865393s}{0.6427876096865393}=\frac{1468m}{0.6427876096865393}$$

Dividing by 0.6427876096865393 undoes the multiplication by 0.6427876096865393.

$$s=\frac{1468m}{0.6427876096865393}$$

Divide 1468m by 0.6427876096865393 by multiplying 1468m by the reciprocal of 0.6427876096865393.

$$s=\frac{14680000000000000000m}{6427876096865393}$$

Variable s cannot be equal to 0.

$$s=\frac{14680000000000000000m}{6427876096865393}\text{, }s\neq 0$$