The volume of a rectangular pyramid is
V = (1/3) A*h
where
A =  the area of the rectangular base
h =  the height
The two pyramids are congruent in volume.
The volume of one pyramid is
(1/3)*(2*7.5)*(6) = 11
The volume of the composite figure is  2*11 = 22
Answer:  22
        
                    
             
        
        
        
Answer:
1st Option;
j = 4.5
k = 2
Step-by-step explanation:
Let's solve for "j" first:
=> We know that by the definition of midpoint segment theorem we can say;
3j = 5j - 9 
0 = 5j - 3j - 9
0 = 2j - 9
0 + 9 = 2j
9 = 2j
9/2 = j
4.5 = j
=> Now that we have j-value we use the same method to solve for k-value;
6k = k + 10
6k - k = 10
5k = 10
k = 10/5
k = 2
Therefore;
j = 4.5
k = 2
<u>So the first option would be correct!</u>
Hope this helps!
 
        
             
        
        
        
Answer:
b
Step-by-step explanation:
in certain economies, the government operates as the central authority, guiding the economy and controlling (and owning) many of the businesses. Instead of being produced to make a profit, goods and services are produced for uses planned by the government. What type of economy does this describe? A. gift economy B. market economy C. socialist economy D. laissez-faire economy
 
        
                    
             
        
        
        
V=B+15
V+2B=180
Therefore:
3B+15=180
B=55
V=70
Check:
V+2B=180
70+2(55)=180
70+110=180
180=180. Checks. 
        
             
        
        
        
1. Perfect square trinomials, are 2nd degree polynomials, of the form          

 so that 

, which can be written as perfect squares.
2. For example 

3. Thus 

 are perfect square trinomials.
4. 

5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
6. b∈{-20, 20}