A farmer sells 7.2 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

2.88 kilograms of pears she sell at the farmer's market.

Step-by-step explanation:

Given:

A farmer sells 7.2 kilograms of apples and pears at the farmer's market. 3/5 of this weight is apples, and the rest is pears.

Now, to find the kilograms of pears she sell at the farmers's market.

Let the kilograms of pears be

And the total kilograms of apples and pears = 7.2 kilograms.

The weight of apples =

Now, to get the kilograms of pears by putting an equation:

Subtracting both sides by 4.32 we get:

Therefore, 2.88 kilograms of pears she sell at the farmer's market.

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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