Solve 1/2(-5.8)+frac{-sqrt{3}}{2}(2.0)

$$\frac{ 1 }{ 2 } (-5.8)+ \frac{ - \sqrt{ 3 } }{ 2 } (2.0)$$

Evaluate

$$-\sqrt{3}-2.9\approx -4.632050808$$

Solution Steps

Convert decimal number -5.8 to fraction -\frac{58}{10}. Reduce the fraction -\frac{58}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\left(-\frac{29}{5}\right)+\frac{-\sqrt{3}}{2}\times 2$$

Multiply \frac{1}{2} times -\frac{29}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-29\right)}{2\times 5}+\frac{-\sqrt{3}}{2}\times 2$$

Do the multiplications in the fraction \frac{1\left(-29\right)}{2\times 5}.

$$\frac{-29}{10}+\frac{-\sqrt{3}}{2}\times 2$$

Fraction \frac{-29}{10} can be rewritten as -\frac{29}{10} by extracting the negative sign.

$$-\frac{29}{10}+\frac{-\sqrt{3}}{2}\times 2$$

Cancel out 2 and 2.

$$-\frac{29}{10}-\sqrt{3}$$

Factor

$$\frac{-10 \sqrt{3} - 29}{10} = -4.632050807568877$$