Questions: Solve the following formula for the specified variable. A = 1/2 g * n for g g = 2a/n

Solve the following formula for the specified variable. A = 1/2 g * n for g g = 2a/n
Transcript text: Solve the following formula for the specified variable. \[ \begin{array}{l} A=\frac{1}{2} g \cdot n \text { for } g \\ g=\frac{2 a}{n} \end{array} \]
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Solution

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Solution Steps

To solve the formula \( A = \frac{1}{2} g \cdot n \) for \( g \), we need to isolate \( g \) on one side of the equation. We can do this by multiplying both sides by 2 and then dividing by \( n \).

Step 1: Isolate \( g \)

Starting with the equation: \[ A = \frac{1}{2} g \cdot n \] we multiply both sides by 2: \[ 2A = g \cdot n \] Next, we divide both sides by \( n \) to isolate \( g \): \[ g = \frac{2A}{n} \]

Step 2: Substitute Values

Given \( A = 10 \) and \( n = 5 \), we substitute these values into the equation: \[ g = \frac{2 \cdot 10}{5} \]

Step 3: Calculate \( g \)

Now, we perform the calculation: \[ g = \frac{20}{5} = 4.0 \]

Final Answer

Thus, the value of \( g \) is \[ \boxed{g = 4.0} \]

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