3. Find the sum of the first 5 terms of the series 5/3+5+15+... 4. Find the sum, if possible: 2/3+1/3+1/6+1/12+...

5. A ball is dropped from height of 50 feet. It rebounds 4/5 of height and continues this pattern until it stops. How far does the ball travel?​

i believe the answer is the polygon, heptagon.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

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