Week 7 Mathematics

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

What is the maximum area of a rectangle that can be enclosed with a fixed perimeter?

Back

The maximum area occurs when the rectangle is a square.

Front

In a double-elimination tournament, how many teams are eliminated after losing two games?

Back

A team is eliminated after losing two games.

Front

How many total games are played in a double-elimination tournament with 32 teams?

Back

31 games are played in total.

Front

What is a slide rule?

Back

A slide rule is a mechanical analog computer used for multiplication, division, and other functions.

Front

What is the formula for the length of a diagonal in a regular hexagon?

Back

The longest diagonal in a regular hexagon is equal to twice the length of a side.

Front

What is the area of a rectangle with a perimeter of 28 feet?

Back

The maximum area is 49 square feet.

Front

How do you calculate the area of a regular hexagon?

Back

Area = (3√3/2) × side².

Front

What is the relationship between the sides and diagonals of a regular hexagon?

Back

Each diagonal connects two non-adjacent vertices and can be calculated using the side length.

Front

What is the significance of logarithmic scales in mathematics?

Back

Logarithmic scales allow for the simplification of multiplication and division.