Solve (16*cos23^circ)-8/5*25

$$\frac { ( 16 \times \cos 23 ^ { \circ } ) - 8 } { 5 } \times 25$$

Evaluate

$$33.640388276195232$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(16 \cdot 0.9205048534524404)} - 8}{5} \cdot 25$$

Multiply 16 and 0.9205048534524404 to get 14.7280776552390464.

$$\frac{14.7280776552390464-8}{5}\times 25$$

Subtract 8 from 14.7280776552390464 to get 6.7280776552390464.

$$\frac{6.7280776552390464}{5}\times 25$$

Expand \frac{6.7280776552390464}{5} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{67280776552390464}{50000000000000000}\times 25$$

Reduce the fraction \frac{67280776552390464}{50000000000000000} to lowest terms by extracting and canceling out 64.

$$\frac{1051262133631101}{781250000000000}\times 25$$

Express \frac{1051262133631101}{781250000000000}\times 25 as a single fraction.

$$\frac{1051262133631101\times 25}{781250000000000}$$

Multiply 1051262133631101 and 25 to get 26281553340777525.

$$\frac{26281553340777525}{781250000000000}$$

Reduce the fraction \frac{26281553340777525}{781250000000000} to lowest terms by extracting and canceling out 25.

$$\frac{1051262133631101}{31250000000000}$$

Factor

$$\frac{7 \cdot 41 \cdot 277 \cdot 3323 \cdot 442157 \cdot 3 ^ {2}}{2 ^ {10} \cdot 5 ^ {15}} = 33\frac{20012133631101}{31250000000000} = 33.64038827619523$$