A regular hexagon have an interior angle of 120°, while a regular decagon have an interior angle of 144°.
The regular hexagon will tessellate because 3 hexagons can be tessellated at a point. (360° / 120° = 3)
The regular decagon will not tessellate because 360° is not divisible by 144°.
Answer:
2$
Step-by-step explanation:
1. One large bottle is equal to small bottle+4$
2. 8 large bottles (= 8 small bottles + 32$) cost 24$ less than 12 small bottles. Replacing large bottles with small bottles+4$, we have 8b+32=12b-24 -> Simplifying 4b=8, b=2$ Where b is small bottle.
It is increasing and the exponential problem should be 5e^x-8
Answer: B
Step-by-step explanation: I feel like it's b but it is too easy
Answer:
f(x) = 54(two-thirds) Superscript x minus 1
Step-by-step explanation:
Given that:
First peak : 36 / 54=2/3
Second peak : 24 / 36 = 2/3
The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height
Modeling this using geometric progression :
An=a1r^(n-1)
An = nth term of a geometric progression
a1=first term
r=common ratio = 2/3
n = nth term
a1=54
Substituting into the above formular :
An=54(2/3)^(n-1)
