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

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

Kumpirmahin

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

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

I-multiply ang 0.125 at 9.8 para makuha ang 1.225.

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

I-expand ang \frac{1.225}{0.48480962024633717} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100000000000000000.

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

I-multiply ang 0.125 at 98 para makuha ang 12.25.

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

I-expand ang \frac{12.25}{0.5735764363510464} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

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

Bawasan ang fraction \frac{122500000000000000}{5735764363510464} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 64.

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

Ang least common multiple ng 48480962024633717 at 89621318179851 ay 4344927723274971685871404636167. I-convert ang \frac{122500000000000000}{48480962024633717} at \frac{1914062500000000}{89621318179851} sa mga fraction na may denominator na 4344927723274971685871404636167.

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

Ikumpara ang \frac{10978611477031747500000000000000}{4344927723274971685871404636167} at \frac{92795591375275473945312500000000}{4344927723274971685871404636167}.

$$\text{false}$$