Solve (72+9.3)*9.81(sin(7.9)+cos(7.9)*0.12))

$$(72+9.3) \times 9.81( \sin ( 7.9)+ \cos ( 7.9) \times 0.12 ) )$$

Evaluate

$$204.417365297656769951418$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(72 + 9.3)} \cdot 9.81 {(0.13744454603714665 + 0.9905094632383088 \cdot 0.12)}$$

Add 72 and 9.3 to get 81.3.

$$81.3\times 9.81\left(0.13744454603714665+0.9905094632383088\times 0.12\right)$$

Multiply 81.3 and 9.81 to get 797.553.

$$797.553\left(0.13744454603714665+0.9905094632383088\times 0.12\right)$$

Multiply 0.9905094632383088 and 0.12 to get 0.118861135588597056.

$$797.553\left(0.13744454603714665+0.118861135588597056\right)$$

Add 0.13744454603714665 and 0.118861135588597056 to get 0.256305681625743706.

$$797.553\times 0.256305681625743706$$

Multiply 797.553 and 0.256305681625743706 to get 204.417365297656769951418.

$$204.417365297656769951418$$

Factor

$$\frac{11 \cdot 109 \cdot 271 \cdot 3556073 \cdot 3276158351 \cdot 3 ^ {3}}{2 ^ {20} \cdot 5 ^ {21}} = 204\frac{2.0868264882838123 \times 10^{20}}{5 \times 10^{20}} = 204.41736529765677$$