Answer:
1947.78 inches or 162.31 feet. 
Step-by-step explanation:
the circumference of any given circle is its diameter times pi. So, if you multiply the diameter times pi and then the circumference by 10 you get the number of inches traveled, if you divide that by 12 you get the number of feet traveled. 
 
        
                    
             
        
        
        
Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So, 




Divide both sides by 3.


The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:



Therefore, the measures of two acute angles are 26° and 64° respectively.
 
        
             
        
        
        
Answer:
n/6
Step-by-step explanation:
If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC
Since <ABC = <ABD+<DBC
n = 2<DBC+<DBC
n = 3<DBC
<DBC = n/3
Since <DBC = 2EBC
n/3 = 2<EBC
n/6 = <EBC
Hence <EBC = n/6
 
        
             
        
        
        
Answer:
Below.
Step-by-step explanation:
The common ratio = 1.6 / 0.2 = 8,  12.8 / 1.6 = 8.
The nth term = an = 0.2(8)^(n-1).