Solve 30{left(frac{x/yright)}^2sin(2*35)}{98{left(x/yright)}^2}

$$\frac{ 30 { \left( \frac{ x }{ y } \right) }^{ 2 } \sin ( 2 \times 35 ) }{ 98 { \left( \frac{ x }{ y } \right) }^{ 2 } }$$

Evaluate

$$\frac{28190778623577249}{98000000000000000}\approx 0.287661006$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{30 {(\frac{x}{y})} ^ {2} 0.9396926207859083}{98 {(\frac{x}{y})} ^ {2}}$$

To raise \frac{x}{y} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{30\times \frac{x^{2}}{y^{2}}\times 0.9396926207859083}{98\times \left(\frac{x}{y}\right)^{2}}$$

Multiply 30 and 0.9396926207859083 to get 28.190778623577249.

$$\frac{28.190778623577249\times \frac{x^{2}}{y^{2}}}{98\times \left(\frac{x}{y}\right)^{2}}$$

To raise \frac{x}{y} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{28.190778623577249\times \frac{x^{2}}{y^{2}}}{98\times \frac{x^{2}}{y^{2}}}$$

Express 98\times \frac{x^{2}}{y^{2}} as a single fraction.

$$\frac{28.190778623577249\times \frac{x^{2}}{y^{2}}}{\frac{98x^{2}}{y^{2}}}$$

Divide 28.190778623577249\times \frac{x^{2}}{y^{2}} by \frac{98x^{2}}{y^{2}} by multiplying 28.190778623577249\times \frac{x^{2}}{y^{2}} by the reciprocal of \frac{98x^{2}}{y^{2}}.

$$\frac{28.190778623577249\times \frac{x^{2}}{y^{2}}y^{2}}{98x^{2}}$$

Cancel out y^{2} and y^{2}.

$$\frac{28.190778623577249x^{2}}{98x^{2}}$$

Cancel out x^{2} in both numerator and denominator.

$$\frac{28.190778623577249}{98}$$

Expand \frac{28.190778623577249}{98} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{28190778623577249}{98000000000000000}$$

Factor

$$\frac{3 \cdot 87553 \cdot 107328432011}{2 ^ {16} \cdot 5 ^ {15} \cdot 7 ^ {2}} = 0.28766100636303316$$