Using a geometric sequence, it is found that:
- The rule for the height of the nth bounce is:
- The height of the fifth bounce is of 9.28 cm.
In a <em>geometric sequence</em>, the quotient between consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which 
is the first term.
In this problem:
- Bounces to 65% of the height from which it was dropped, thus the common ratio is of
. - Dropped from 80 cm, thus, the height of the first bounce is
.
Thus, the rule for the height of the nth bounce is:
The height of the fifth bounce is 
, thus:
The height of the fifth bounce is of 9.28 cm.
A similar problem is given at brainly.com/question/11847927
Answer:
aₙ = a₁ - 6* (n-1)
Step-by-step explanation:
a₁ = 13 = 13 - 6* (1-1)
a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)
a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)
........
aₙ = a₁ - 6* (n-1)
check: a₅ = 13 - 6*4 = -11
Answer:
4.8 feet
Step-by-step explanation:
a² + b² = c²
a² + 11² = 12²
a² + 121 = 144
a² = 23
a = 
a, or the height of the kite ≈ 4.8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
the answer is A
Step-by-step explanation:
that is not correct
Step-by-step explanation:
For 4.
4b + 2b + 3b = 180°< Sum of angles of triangle >
9b = 180°
b = 180° / 9
b = 20°
4b = 4* 20° = 80°
2b = 2* 20° = 40°
3b = 3 * 20° = 60°
For 5.
x = 64° + 45° <Exterior angle of a triangle is equal to the sum of two opposite interior angles>
x = 109°
Hope it helps :)
