Solve sin40^circ=14.68m/s

$$\sin 40 ^ { \circ } = 14.68 m / s$$

Solve for m

$$m=\frac{6427876096865393s}{146800000000000000}$$

$$s\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.6427876096865393 = 14.68 m / s$$

Multiply both sides of the equation by s.

$$0.6427876096865393s=14.68m$$

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

$$14.68m=0.6427876096865393s$$

The equation is in standard form.

$$14.68m=\frac{6427876096865393s}{10000000000000000}$$

Divide both sides of the equation by 14.68, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{14.68m}{14.68}=\frac{6427876096865393s}{14.68\times 10000000000000000}$$

Dividing by 14.68 undoes the multiplication by 14.68.

$$m=\frac{6427876096865393s}{14.68\times 10000000000000000}$$

Divide \frac{6427876096865393s}{10000000000000000} by 14.68 by multiplying \frac{6427876096865393s}{10000000000000000} by the reciprocal of 14.68.

$$m=\frac{6427876096865393s}{146800000000000000}$$

Solve for s

$$s=\frac{146800000000000000m}{6427876096865393}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.6427876096865393 = 14.68 m / s$$

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

$$0.6427876096865393s=14.68m$$

The equation is in standard form.

$$0.6427876096865393s=\frac{367m}{25}$$

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

$$\frac{0.6427876096865393s}{0.6427876096865393}=\frac{367m}{0.6427876096865393\times 25}$$

Dividing by 0.6427876096865393 undoes the multiplication by 0.6427876096865393.

$$s=\frac{367m}{0.6427876096865393\times 25}$$

Divide \frac{367m}{25} by 0.6427876096865393 by multiplying \frac{367m}{25} by the reciprocal of 0.6427876096865393.

$$s=\frac{146800000000000000m}{6427876096865393}$$

Variable s cannot be equal to 0.

$$s=\frac{146800000000000000m}{6427876096865393}\text{, }s\neq 0$$