Solve 144-24cos(75)-64-10.928^2+10.928*8

$$144-24 \cos ( 75 ) -64- { 10.928 }^{ 2 } +10.928 \cdot 8$$

Evaluate

$$41.79115891753950224$$

Solution Steps

Evaluate trigonometric functions in the problem

$$144 - 24 \cdot 0.25881904510252074 - 64 - {(10.928)} ^ {2} + 10.928 \cdot 8$$

Multiply 24 and 0.25881904510252074 to get 6.21165708246049776.

$$144-6.21165708246049776-64-10.928^{2}+10.928\times 8$$

Subtract 6.21165708246049776 from 144 to get 137.78834291753950224.

$$137.78834291753950224-64-10.928^{2}+10.928\times 8$$

Subtract 64 from 137.78834291753950224 to get 73.78834291753950224.

$$73.78834291753950224-10.928^{2}+10.928\times 8$$

Calculate 10.928 to the power of 2 and get 119.421184.

$$73.78834291753950224-119.421184+10.928\times 8$$

Subtract 119.421184 from 73.78834291753950224 to get -45.63284108246049776.

$$-45.63284108246049776+10.928\times 8$$

Multiply 10.928 and 8 to get 87.424.

$$-45.63284108246049776+87.424$$

Add -45.63284108246049776 and 87.424 to get 41.79115891753950224.

$$41.79115891753950224$$

Factor

$$\frac{7 \cdot 11 \cdot 2459 \cdot 1379479269023}{2 ^ {13} \cdot 5 ^ {17}} = 41\frac{4944743234621888}{6250000000000000} = 41.791158917539505$$