Unit 6 Flashcard 1 Bell Ringer

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width

Front

What is the Monte Carlo method used for in geometry?

Back

The Monte Carlo method is a statistical technique used to estimate the area of irregular shapes by generating random points within a known boundary.

Front

How do you calculate the total moving costs when renting an apartment?

Back

Total moving costs = application deposit + credit report fee + security deposit + last month's rent.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What is the recommended percentage of income to spend on rent?

Back

It is generally recommended to spend no more than 28% of your gross income on rent.

Front

How do you find the area of a free-form shape using the Monte Carlo method?

Back

1. Enclose the shape in a known area (rectangle). 2. Generate random points within that area. 3. Count how many points fall inside the shape. 4. Use the ratio of points inside the shape to total points to estimate the area.

Front

What is the significance of the security deposit when renting an apartment?

Back

The security deposit is a sum of money held by the landlord to cover potential damages or unpaid rent.

Front

What does it mean to estimate a value?

Back

Estimating a value means making an educated guess about a quantity based on available information.

Front

How do you calculate the area of a rectangle?

Back

Area = length × width.