Solve 500*(8)^2/2+(500)(98)(cos20)

$$\frac { 500 \times ( 8 ) ^ { 2 } } { 2 } + ( 500 ) ( 98 ) ( \cos 20 )$$

Evaluate

$$62044.9384185095116$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{500 \cdot {(8)} ^ {2}}{2} + {(500)} {(98)} \cdot 0.9396926207859084$$

Calculate 8 to the power of 2 and get 64.

$$\frac{500\times 64}{2}+500\times 98\times 0.9396926207859084$$

Multiply 500 and 64 to get 32000.

$$\frac{32000}{2}+500\times 98\times 0.9396926207859084$$

Divide 32000 by 2 to get 16000.

$$16000+500\times 98\times 0.9396926207859084$$

Multiply 500 and 98 to get 49000.

$$16000+49000\times 0.9396926207859084$$

Multiply 49000 and 0.9396926207859084 to get 46044.9384185095116.

$$16000+46044.9384185095116$$

Add 16000 and 46044.9384185095116 to get 62044.9384185095116.

$$62044.9384185095116$$

Factor

$$\frac{3361 \cdot 46150653390739}{2 ^ {11} \cdot 5 ^ {13}} = 62044\frac{2346046273792}{2500000000000} = 62044.93841850952$$