A teapot is 13 full of tea. When all of the tea is poured into an empty container, the container is 23 full. What fraction of the tea from a full cup is needed to fill 1 entire container?

If you mean 1/3 and 2/3; The answer is (1/2) teacup = 1 full container.

Step-by-step explanation:

(1/3)t = (2/3)c, the t for teapot and c for the container.

Multiply both sides by (3/2) in order to get 1 on the right-hand side.

(3/2)(1/3)t = (3/2)(2/3)C

(1/2) teacup = 1 full container.

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²