Emily's dad gives her a push on the swing. The first swing she is 8 ft off the ground. If he does not give her another push, each progressive swing will be 85% of the height of the previous swing. a. What is the expicit formula for this scenario b. How far off the ground will she be after the 6th swing? Round to the nearest tenth.

1. 34

2. 268

3. x=14.4

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

answer is  

a.

16.1

hope you got it chief.