Answer:
410.5 yards cubed
Step-by-step explanation:
Volume of a cone is 1/3Bh
h is the height of the cone
B is the area of the base, which is a circle, so use πr^2 to find area of the circle
The radius is 7, so:
π7^2
π49(8)(1/3) = 410.5
 
        
                    
             
        
        
        
Answer:
10 ft to nearest foot.
Step-by-step explanation:
We use the Pythagoras theorem:
12^2 = 6^2 + h^2    where h is the height on the barn
h^2 = 12^2 - 6^2
h^2 = 144 - 36 = 102
h= √108 = 10.39
 
        
             
        
        
        
Answer:
180
Step-by-step explanation:
Since the type of trapezoid is not listed, I cannot really explain, sorry :/
 
        
             
        
        
        
Answer:
The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802
Step-by-step explanation:
We are given that 
Standard deviation,  ounces
ounces
We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.

Assume the bag weight distribution is bell-shaped
Therefore,

We know that 

Using the value of z
Now,




Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802
 
        
             
        
        
        
Unlike the previous problem, this one requires application of the Law of Cosines.  You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines:  a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
                           40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math.  Solve for cos Q, and then find Q in degrees and Q in radians.