Solve 9.8*4+8*9.8*(8+8sin(30^circ))/8

$$9.8 \times 4 + \frac { 8 \times 9.8 \times ( 8 + 8 \sin ( 30 ^ { \circ } ) ) } { 8 }$$

Evaluate

$$156.8$$

Solution Steps

Multiply 9.8 and 4 to get 39.2.

$$39.2+\frac{8\times 9.8\left(8+8\sin(30)\right)}{8}$$

Cancel out 8 and 8.

$$39.2+9.8\left(8+8\sin(30)\right)$$

Use the distributive property to multiply 9.8 by 8+8\sin(30).

$$39.2+78.4+78.4\sin(30)$$

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

$$39.2+78.4+78.4\times \frac{1}{2}$$

Multiply 78.4 and \frac{1}{2} to get \frac{196}{5}.

$$39.2+78.4+\frac{196}{5}$$

Add 78.4 and \frac{196}{5} to get \frac{588}{5}.

$$39.2+\frac{588}{5}$$

Add 39.2 and \frac{588}{5} to get \frac{784}{5}.

$$\frac{784}{5}$$