Solve frac{sqrt{(-0.88)^2+(-2*05)^2}}{(0.41)*(sin66*7)}

$$\frac { \sqrt { ( - 0.88 ) ^ { 2 } + ( - 2 \cdot 05 ) ^ { 2 } } } { ( 0.41 ) \times ( \sin 66 \cdot 7 ) }$$

Evaluate

$$\frac{176000000000000000}{80208103260172051}\approx 2.194292008$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{\sqrt{{(-0.88)} ^ {2} + {(-2 \cdot 0 \cdot 5)} ^ {2}}}{{(0.41)} \cdot 0.9781476007338055}$$

Calculate -0.88 to the power of 2 and get 0.7744.

$$\frac{\sqrt{0.7744+\left(-2\times 0\times 5\right)^{2}}}{0.41\times 0.9781476007338055}$$

Multiply -2 and 0 to get 0.

$$\frac{\sqrt{0.7744+\left(0\times 5\right)^{2}}}{0.41\times 0.9781476007338055}$$

Multiply 0 and 5 to get 0.

$$\frac{\sqrt{0.7744+0^{2}}}{0.41\times 0.9781476007338055}$$

Calculate 0 to the power of 2 and get 0.

$$\frac{\sqrt{0.7744+0}}{0.41\times 0.9781476007338055}$$

Add 0.7744 and 0 to get 0.7744.

$$\frac{\sqrt{0.7744}}{0.41\times 0.9781476007338055}$$

Calculate the square root of 0.7744 and get 0.88.

$$\frac{0.88}{0.41\times 0.9781476007338055}$$

Multiply 0.41 and 0.9781476007338055 to get 0.401040516300860255.

$$\frac{0.88}{0.401040516300860255}$$

Expand \frac{0.88}{0.401040516300860255} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{880000000000000000}{401040516300860255}$$

Reduce the fraction \frac{880000000000000000}{401040516300860255} to lowest terms by extracting and canceling out 5.

$$\frac{176000000000000000}{80208103260172051}$$

Factor

$$\frac{11 \cdot 2 ^ {19} \cdot 5 ^ {15}}{41 \cdot 1956295201467611} = 2\frac{15583793479655904}{80208103260172050} = 2.194292008490795$$