The GCF is 6
6x4=24 and 6x27=162
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Given that there were 30 bacteria present originally.
a=30
Also given that the number doubles every one hour.
After one hour the count =2×30=60
Since the count doubles every hour it forms a G.P. with r=2
a,ar,ar2........
The count at the end of 2nd hour=ar^2=30×2^2=120
The count at the end of 4th hour=ar^4=30×2^4=480
The count at the end of 8th hour=ar^8n=30×2^8=7680
etc.
The count at the end of n^th hour=ar^n=30×2^n
Also, the equation y=30*(2)^8/1 give the same result y= 7680
Answer:
Using the 30-60-90 triangle to find sine and cosine
sin(60 degrees) = 2√3 4.
sin(60 degrees) = √3 2.
sin(30 degrees) = 2 4.
sin(30 degrees) = 1 2.
cos(60 degrees) = 2 4.
cos(60 degrees) = 1 2.
cos(30 degrees) = 2√3 4.
cos(30 degrees) = √3 2.
Answer:
A. 
Step-by-step explanation:
Given:
The regular polygon is a decagon having 10 sides.
Perimeter of the given polygon is,
.
We know that, perimeter of a regular polygon of
sides is given as,
where,
is the length of each side.
Here, 
Plug in these values and solve for
. This gives,

Therefore, the side length of the given polygon is 