Solve 10*9.81sin(30)-(3*9.81)/3+10

$$\frac{ 10 \cdot 9.81 \sin ( 30 ) -(3 \times 9.81) }{ 3+10 }$$

Evaluate

$$\frac{981}{650}\approx 1.509230769$$

Solution Steps

Multiply 9.81 and 10 to get 98.1.

$$\frac{98.1\sin(30)-3\times 9.81}{3+10}$$

Get the value of \sin(30) from trigonometric values table.

$$\frac{98.1\times \frac{1}{2}-3\times 9.81}{3+10}$$

Multiply 98.1 and \frac{1}{2} to get \frac{981}{20}.

$$\frac{\frac{981}{20}-3\times 9.81}{3+10}$$

Multiply 3 and 9.81 to get 29.43.

$$\frac{\frac{981}{20}-29.43}{3+10}$$

Subtract 29.43 from \frac{981}{20} to get \frac{981}{50}.

$$\frac{\frac{981}{50}}{3+10}$$

Add 3 and 10 to get 13.

$$\frac{\frac{981}{50}}{13}$$

Express \frac{\frac{981}{50}}{13} as a single fraction.

$$\frac{981}{50\times 13}$$

Multiply 50 and 13 to get 650.

$$\frac{981}{650}$$