Solve =33.96+30^2-17^2/2(33.96)(30)

$$= \frac { 33.96 + 30 ^ { 2 } - 17 ^ { 2 } } { 2 ( 33.96 ) ( 30 ) }$$

Evaluate

$$\frac{4031}{12735}\approx 0.31652925$$

Solution Steps

Calculate 30 to the power of 2 and get 900.

$$\frac{33.96+900-17^{2}}{2\times 33.96\times 30}$$

Add 33.96 and 900 to get 933.96.

$$\frac{933.96-17^{2}}{2\times 33.96\times 30}$$

Calculate 17 to the power of 2 and get 289.

$$\frac{933.96-289}{2\times 33.96\times 30}$$

Subtract 289 from 933.96 to get 644.96.

$$\frac{644.96}{2\times 33.96\times 30}$$

Multiply 2 and 33.96 to get 67.92.

$$\frac{644.96}{67.92\times 30}$$

Multiply 67.92 and 30 to get 2037.6.

$$\frac{644.96}{2037.6}$$

Expand \frac{644.96}{2037.6} by multiplying both numerator and the denominator by 100.

$$\frac{64496}{203760}$$

Reduce the fraction \frac{64496}{203760} to lowest terms by extracting and canceling out 16.

$$\frac{4031}{12735}$$

Factor

$$\frac{29 \cdot 139}{5 \cdot 283 \cdot 3 ^ {2}} = 0.3165292500981547$$