Solve 500*(8)^2/2+(500)(9.8)(cos20)

$$\frac { 500 \times ( 8 ) ^ { 2 } } { 2 } + ( 500 ) ( 9.8 ) ( \cos 20 )$$

Evaluate

$$20604.49384185095116$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{500 \cdot {(8)} ^ {2}}{2} + {(500)} {(9.8)} \cdot 0.9396926207859084$$

Calculate 8 to the power of 2 and get 64.

$$\frac{500\times 64}{2}+500\times 9.8\times 0.9396926207859084$$

Multiply 500 and 64 to get 32000.

$$\frac{32000}{2}+500\times 9.8\times 0.9396926207859084$$

Divide 32000 by 2 to get 16000.

$$16000+500\times 9.8\times 0.9396926207859084$$

Multiply 500 and 9.8 to get 4900.

$$16000+4900\times 0.9396926207859084$$

Multiply 4900 and 0.9396926207859084 to get 4604.49384185095116.

$$16000+4604.49384185095116$$

Add 16000 and 4604.49384185095116 to get 20604.49384185095116.

$$20604.49384185095116$$

Factor

$$\frac{515112346046273779}{2 ^ {12} \cdot 5 ^ {14}} = 20604\frac{12346046273792}{25000000000000} = 20604.493841850952$$