Solve .5(0.260*530)*sin(90.2)+0.5*10

$$.5 ( 0.260 \times 530 ) \times \sin ( 90.2 ) + 0.5 \times 10$$

Evaluate

$$73.89958023762175856$$

Solution Steps

Evaluate trigonometric functions in the problem

$$.5 {(0.260 \cdot 530)} \cdot 0.9999939076577904 + 0.5 \cdot 10$$

Multiply 0.5 and 0.26 to get 0.13.

$$0.13\times 530\times 0.9999939076577904+0.5\times 10$$

Multiply 0.13 and 530 to get 68.9.

$$68.9\times 0.9999939076577904+0.5\times 10$$

Multiply 68.9 and 0.9999939076577904 to get 68.89958023762175856.

$$68.89958023762175856+0.5\times 10$$

Multiply 0.5 and 10 to get 5.

$$68.89958023762175856+5$$

Add 68.89958023762175856 and 5 to get 73.89958023762175856.

$$73.89958023762175856$$

Factor

$$\frac{73 \cdot 59797 \cdot 105808299011}{2 ^ {13} \cdot 5 ^ {17}} = 73\frac{5622376485136000}{6250000000000000} = 73.89958023762176$$