Question

Solve the equation. Round to the nearest tenth if necessary.

$200=16t^2$

Short answer

The solution of the is $t=3.5$.

Step-by-step solution

Step 1. Given Information.

The given equation is

$16t^2=200$

Step 2. Calculation.

The solution of the given equation will be

$\begin{array}{c}16t^2=200\\ t^2=\frac{200}{16}\\ t^2=12.5\\ t={\left(12.5\right)}^{\frac{1}{2}}\end{array}$

On further simplification,

$\begin{array}{c}t=3.5355\\ t\approx 3.5\end{array}$

Step 3. Conclusion.

The solution is$t=3.5$ .