284sin(20) = -82.39sin(36.9)*W + V*sin(36.9)

-284cos(20) = 82.39cos(36.9)*W + V*cos(36.9)

asked by guest
on Jan 22, 2025 at 2:55 pm



You asked:

Solve the system of equations:284sin⁡(20)=−(82.39sin⁡(36.9))⋅W+Vsin⁡(36.9)−(284cos⁡(20))=82.39cos⁡(36.9)⋅W+Vcos⁡(36.9)\begin{aligned}284 \sin\left( 20 \right) &= -\left( 82.39 \sin\left( 36.9 \right) \right) \cdot W + V \sin\left( 36.9 \right)\\-\left( 284 \cos\left( 20 \right) \right) &= 82.39 \cos\left( 36.9 \right) \cdot W + V \cos\left( 36.9 \right)\end{aligned}

MathBot Answer:

The system of equations has one solution.V=−−284sin⁡(20)+(284sin⁡(20)cos⁡(36910)sin⁡(36910)+284cos⁡(20))sin⁡(36910)2cos⁡(36910)sin⁡(36910)V = - \frac{- 284 \sin{\left(20 \right)} + \frac{\left(\frac{284 \sin{\left(20 \right)} \cos{\left(\frac{369}{10} \right)}}{\sin{\left(\frac{369}{10} \right)}} + 284 \cos{\left(20 \right)}\right) \sin{\left(\frac{369}{10} \right)}}{2 \cos{\left(\frac{369}{10} \right)}}}{\sin{\left(\frac{369}{10} \right)}} W=−50⋅(284sin⁡(20)cos⁡(36910)sin⁡(36910)+284cos⁡(20))8239cos⁡(36910)W = - \frac{50 \cdot \left(\frac{284 \sin{\left(20 \right)} \cos{\left(\frac{369}{10} \right)}}{\sin{\left(\frac{369}{10} \right)}} + 284 \cos{\left(20 \right)}\right)}{8239 \cos{\left(\frac{369}{10} \right)}}
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