The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length

Question

3 years ago

14

of the tail.
What is the length of the tail? Show your work.

2 answers:

Reptile [31] · Answer 1 · 2022-03-14T01:29:03+03:00

7 0

Answer:

10 5/6 feet

Step-by-step explanation:

Tail= 1.5+2Kite

Kite+Tail=15.5

x+1.5+2x=15.5

3x=15.5-1.5

3x=14

x=14/3=4 2/3

Kite=4 2/3

Tail= 1.5+2(4 2/3)=10 5/6

Ivan · Answer 2 · 2022-03-14T00:05:15+03:00

Answer:

We know that the kite with the tail is 15 feet and 6 inches. While 6 inches is 0,50 foot, it's 15,5 feet. If the lenght of the kite is x, then:

15,5 = x + 1,5 + 2x

15,5 = 3x + 1,5 / - 1,5 (both sides)

14 = 3x / : 3 (both sides)

x ≈ 4,66

The kite is approx .4,66 feet long. It means that the tail is about 15,5 - 4,66 = 10,84 feet long.