In Exercises 35–54, solve each formula for the specified variable...

Question

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?

S = C/(1 - r) for r

Accepted Answer

Welcome back. I'm so glad you're here. We have this formula capital S equals pi R. L plus pi R squared. And we're to solve for L. So we want to get that L. By itself. Well, how do we start off? We want to go in the reverse order of operations recall from previous lessons at the order of operations. Pem does gives us parentheses, exponents, multiplication and division from left, right and addition and subtraction from left right. When we're trying to isolate a variable, we want to start with the things that are farthest removed from that variable. So the addition and the subtraction and here this plus pi R squared is being added. So we are going to do the opposite of that addition. And we're going to subtract it from both sides of the equation. So we're going to subtract pi r squared. Which will give us a capital S minus pi R squared equals pi R L. Alright. The addition and subtraction has been done now the only thing left that's happening to that L variable is that two things are being multiplied by it. So the M We've got a pie in the are being multiplied by R. L. So we're going to do the opposite of the multiplication, which is division. We're going to divide both sides by pi are so on the left hand side we've now got capital S minus pi R squared in the numerator and the denominator is pi R and that equals R. L, variable. That is the answer we were looking for. Now the bonus content. What formula does this represent? Well, this represents the surface area of a right circular cone. We look at our answer choices, and this matches with answer choice. A well done. We'll catch you on the next one.

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = C/(1 - r) for r

Key Concepts

Algebraic Manipulation

Understanding Formulas

Isolating Variables

Watch next