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

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

Arvuta

$$\frac{28190778623577249}{98000000000000000}\approx 0,287661006$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$\frac{30 {(\frac{x}{y})} ^ {2} 0,9396926207859083}{98 {(\frac{x}{y})} ^ {2}}$$

Avaldise \frac{x}{y} astendamiseks astendage nii lugeja kui ka nimetaja ning seejärel tehke jagamistehe.

$$\frac{30\times \frac{x^{2}}{y^{2}}\times 0,9396926207859083}{98\times \left(\frac{x}{y}\right)^{2}}$$

Korrutage 30 ja 0,9396926207859083, et leida 28,190778623577249.

$$\frac{28,190778623577249\times \frac{x^{2}}{y^{2}}}{98\times \left(\frac{x}{y}\right)^{2}}$$

Avaldise \frac{x}{y} astendamiseks astendage nii lugeja kui ka nimetaja ning seejärel tehke jagamistehe.

$$\frac{28,190778623577249\times \frac{x^{2}}{y^{2}}}{98\times \frac{x^{2}}{y^{2}}}$$

Avaldage 98\times \frac{x^{2}}{y^{2}} ühe murdarvuna.

$$\frac{28,190778623577249\times \frac{x^{2}}{y^{2}}}{\frac{98x^{2}}{y^{2}}}$$

Jagage 28,190778623577249\times \frac{x^{2}}{y^{2}} väärtusega \frac{98x^{2}}{y^{2}}, korrutades 28,190778623577249\times \frac{x^{2}}{y^{2}} väärtuse \frac{98x^{2}}{y^{2}} pöördväärtusega.

$$\frac{28,190778623577249\times \frac{x^{2}}{y^{2}}y^{2}}{98x^{2}}$$

Taandage y^{2} ja y^{2}.

$$\frac{28,190778623577249x^{2}}{98x^{2}}$$

Taandage x^{2} nii lugejas kui ka nimetajas.

$$\frac{28,190778623577249}{98}$$

Saate \frac{28,190778623577249}{98} laiendada, korrutades nii lugeja kui ka nimetaja 1000000000000000.

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

Lahuta teguriteks

$$\frac{3 \cdot 87553 \cdot 107328432011}{2 ^ {16} \cdot 5 ^ {15} \cdot 7 ^ {2}} = 0,28766100636303316$$