4b - 6c = 11
c + b = 12
4c + 4b = 48
10c = 39
c = 3.9
b = 12 - 3.9
b = 8.1
        
             
        
        
        
Answer:
B) 114.511m^3
Step-by-step explanation:
Formula of a cylinder is πr^2 x h
r = radius (half of diameter)
h = height
Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals <em>7.2</em>
Half of the diameter is 2.25. 2.25^2 =<em> 5.0625.</em>
The volume of the cylinder = <em>5.0625π x 7.2</em>
By solving this, you will get approximately <em>114.511 m^3</em> as your answer.
 
        
             
        
        
        
Answer:
The LCM of 40 and 5 is simply 40.
Step-by-step explanation:
To find the lowest common multiple of any 2 numbers, we will first list the prime factors of each number.
40: 2 × 2 × 2 × 5
5: 5
Then we need to multiply each factor the most amount of times it appears in either number.
2: 3 times in the first number
5: 1 time in either number
Now we multiply these.
2 × 2 × 2 × 5 = 40
The LCM of 40 and 5 is simply 40.
 
        
             
        
        
        
Answer:
32.25
Step-by-step explanation:
You take 5, and multiply times 13. this gets you 65. Divide by two. 32.25. boom
 
        
                    
             
        
        
        
Answer:
c = 8.06
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
c^2 = a^2 + b^2
c^2 = 4^2 + 7^2
c^2 = 16 + 49
c^2 = 65
c = sqrt(65)
c = 8.06