# Lesson 5 Getting Your Share of the Pie Develop Understanding

### 1.

Prove that

### 2.

Use the given information and the diagram to find

Given:

### 3.

Given:

Prove

### 4.

Given:

Prove

A lever is a simple machine consisting of a bar that pivots on a fixed support, or fulcrum. It is used for making it possible to lift a heavy object.

Use the information about a lever to solve the following problems.

### 5.

A child who weighs

### 6.

A landscaper needs to lift a large rock that weighs

### 7.

The lid of a can of paint is wedged into the can and surrounded by dried paint. A painter is using a screwdriver to lift it. The friction between the lid and the can, including the weight of the lid and the dried paint, will require

### 8.

Explain how this formula

### 9.

Show that if

Solve each equation for all solutions.

### 10.