Solve 1/2(15.5)^2=10h

$$\frac { 1 } { 2 } ( 15.5 ) ^ { 2 } = 10 h$$

Solve for h

$$h=12.0125$$

Steps for Solving Linear Equation

Calculate 15.5 to the power of 2 and get 240.25.

$$\frac{1}{2}\times 240.25=10h$$

Convert decimal number 240.25 to fraction \frac{24025}{100}. Reduce the fraction \frac{24025}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{2}\times \frac{961}{4}=10h$$

Multiply \frac{1}{2} times \frac{961}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 961}{2\times 4}=10h$$

Do the multiplications in the fraction \frac{1\times 961}{2\times 4}.

$$\frac{961}{8}=10h$$

Swap sides so that all variable terms are on the left hand side.

$$10h=\frac{961}{8}$$

Divide both sides by 10.

$$h=\frac{\frac{961}{8}}{10}$$

Express \frac{\frac{961}{8}}{10} as a single fraction.

$$h=\frac{961}{8\times 10}$$

Multiply 8 and 10 to get 80.

$$h=\frac{961}{80}$$