There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
There are multiple ways to do this.
The easiest is to just continuously subtract 7 from 65 the numbers of times needed.
But most math teachers will have you use the equation ar^n-1 where a= the first term (65), r=ratio (-7), and n=the term you need (second, fifth, and ninth).
So to solve you just plug your values in as so
AR^n-1
(65)(-7)^2-1(65)(-7)^5-1
(65)(-7)^9-1
Divide the total amount of ribbon by the length of each individual ribbon:
30 ft / 0.625 ft = 48
She can make 48 ribbons.
Answer:
249.42 is the surface area
Step-by-step explanation:
N=30°. The sum of the angles is 180º. n+n+4n=6n, so 6n=180 and n=30°.
n=18°. 4n+n=90, so 5n=90, n=18°.
