Questions: Solve the formula for the specified variable. D=1/3 f k for k k=

Solution Steps

To solve for $k$ in the equation $D = \frac{1}{3} f k$, we need to isolate $k$. This can be done by multiplying both sides of the equation by the reciprocal of the coefficient of $k$.

We start with the given equation: $$D = \frac{1}{3} f k$$

To isolate $k$, we multiply both sides of the equation by the reciprocal of $\frac{1}{3} f$: $$k = \frac{3D}{f}$$

Substitute the given values $D = 10$ and $f = 5$ into the equation: $$k = \frac{3 \times 10}{5}$$

Simplify the expression to find $k$: $$k = \frac{30}{5} = 6.0$$

Final Answer