Solve 0.125*9.8/sin(151^circ)=0.125*98/sin(145^circ)

$$\frac { 0.125 \times 9.8 } { \sin ( 151 ^ { \circ } ) } = \frac { 0.125 \times 98 } { \sin ( 145 ^ { \circ } ) }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.125 \cdot 9.8}{0.48480962024633717} = \frac{0.125 \cdot 98}{0.5735764363510464}$$

Multiply 0.125 and 9.8 to get 1.225.

$$\frac{1.225}{0.48480962024633717}=\frac{0.125\times 98}{0.5735764363510464}$$

Expand \frac{1.225}{0.48480962024633717} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{122500000000000000}{48480962024633717}=\frac{0.125\times 98}{0.5735764363510464}$$

Multiply 0.125 and 98 to get 12.25.

$$\frac{122500000000000000}{48480962024633717}=\frac{12.25}{0.5735764363510464}$$

Expand \frac{12.25}{0.5735764363510464} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{122500000000000000}{48480962024633717}=\frac{122500000000000000}{5735764363510464}$$

Reduce the fraction \frac{122500000000000000}{5735764363510464} to lowest terms by extracting and canceling out 64.

$$\frac{122500000000000000}{48480962024633717}=\frac{1914062500000000}{89621318179851}$$

Least common multiple of 48480962024633717 and 89621318179851 is 4344927723274971685871404636167. Convert \frac{122500000000000000}{48480962024633717} and \frac{1914062500000000}{89621318179851} to fractions with denominator 4344927723274971685871404636167.

$$\frac{10978611477031747500000000000000}{4344927723274971685871404636167}=\frac{92795591375275473945312500000000}{4344927723274971685871404636167}$$

Compare \frac{10978611477031747500000000000000}{4344927723274971685871404636167} and \frac{92795591375275473945312500000000}{4344927723274971685871404636167}.

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