Solve 5*9.8*sin28^circ-12/5

$$\frac { 5 \times 9.8 \times \sin 28 ^ { \circ } - 12 } { 5 }$$

Evaluate

$$2.20082131530172984$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{5 \cdot 9.8 \cdot 0.4694715627858908 - 12}{5}$$

Multiply 5 and 9.8 to get 49.

$$\frac{49\times 0.4694715627858908-12}{5}$$

Multiply 49 and 0.4694715627858908 to get 23.0041065765086492.

$$\frac{23.0041065765086492-12}{5}$$

Subtract 12 from 23.0041065765086492 to get 11.0041065765086492.

$$\frac{11.0041065765086492}{5}$$

Expand \frac{11.0041065765086492}{5} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{110041065765086492}{50000000000000000}$$

Reduce the fraction \frac{110041065765086492}{50000000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{27510266441271623}{12500000000000000}$$

Factor

$$\frac{293 \cdot 111733 \cdot 840321967}{2 ^ {14} \cdot 5 ^ {17}} = 2\frac{2510266441271624}{12500000000000000} = 2.20082131530173$$