[(6*9.81*sin37° + 11*9.81*sin60°) - 0.25*9.81*(6*cos37° + 11*cos60°)] / (6+11)

asked by guest
on Nov 17, 2024 at 9:28 am



You asked:

Evaluate the expression: 6⋅9.81sin⁡(37∘)+11⋅9.81sin⁡(60∘)−0.25⋅9.81(6cos⁡(37∘)+11cos⁡(60∘))6+11\frac{6 \cdot 9.81 \sin\left( 37^{\circ} \right) + 11 \cdot 9.81 \sin\left( 60^{\circ} \right) - 0.25 \cdot 9.81 \left(6 \cos\left( 37^{\circ} \right) + 11 \cos\left( 60^{\circ} \right)\right)}{6 + 11}

MathBot Answer:

Evaluated



6⋅9.81sin⁡(37∘)+11⋅9.81sin⁡(60∘)−0.25⋅9.81(6cos⁡(37∘)+11cos⁡(60∘))6+11=−1079113600−2943cos⁡(37π180)3400+2943sin⁡(37π180)850+1079133400\displaystyle \frac{6 \cdot 9.81 \sin\left( 37^{\circ} \right) + 11 \cdot 9.81 \sin\left( 60^{\circ} \right) - 0.25 \cdot 9.81 \left(6 \cos\left( 37^{\circ} \right) + 11 \cos\left( 60^{\circ} \right)\right)}{6 + 11} = - \frac{10791}{13600} - \frac{2943 \cos{\left(\frac{37 \pi}{180} \right)}}{3400} + \frac{2943 \sin{\left(\frac{37 \pi}{180} \right)}}{850} + \frac{10791 \sqrt{3}}{3400}

Expanded

6⋅9.81sin⁡(37∘)+11⋅9.81sin⁡(60∘)−0.25⋅9.81(6cos⁡(37∘)+11cos⁡(60∘))6+11=2943sin⁡(37deg)850+10791sin⁡(60deg)1700−2943cos⁡(37deg)3400−10791cos⁡(60deg)6800\frac{6 \cdot 9.81 \sin\left( 37^{\circ} \right) + 11 \cdot 9.81 \sin\left( 60^{\circ} \right) - 0.25 \cdot 9.81 \left(6 \cos\left( 37^{\circ} \right) + 11 \cos\left( 60^{\circ} \right)\right)}{6 + 11} = \frac{2943 \sin{\left(37 \text{deg} \right)}}{850} + \frac{10791 \sin{\left(60 \text{deg} \right)}}{1700} - \frac{2943 \cos{\left(37 \text{deg} \right)}}{3400} - \frac{10791 \cos{\left(60 \text{deg} \right)}}{6800}

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