ANSWER
8π ft
EXPLANATION
The circumference of a circle is calculated using the formula C=πd.
Where d=8 is the diameter of the circle.
We substitute d=8 into the formula to obtain,
C=8π ft.
Because we are looking for the exact circumference, we leave the answer in terms of π.
 
        
                    
             
        
        
        
Answer:
 1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
 
        
             
        
        
        
Answer:
20° and  90°
Step-by-step explanation:
Let 2x = measure of 1st angle
then 9x =  measure of 2nd angle
The sum of the measures of the angles of a quad is 360
200 + 50 + 2x + 9x = 360
250 + 11x = 360
11x = 110
x = 10
2x = 20°
9x = 90°
 
        
             
        
        
        
6.32ft per inch (rounded to the hundredth place).
You can get this number by dividing the total number of feet by the total number of inches 
        
             
        
        
        
Common factors of 60 and 126 are:
1, 2, 3, 6
Hope this helps