The diameter of the plate is 12, and the formula for finding circumference is diameter times pie. so you multiply pie (or 3.14 if you aren't using a calculator) times 12 and it should give you 37.6991. rounded to the nearest tenth, that's 37.7, hope I helped!
        
             
        
        
        
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
 
        
             
        
        
        
Answer:
The third number is 47.
Step-by-step explanation:
The sum of three numbers is 3068 - this can be expressed mathematically as:

Given that two of the numbers are 1266 and 1755 (in order) then substitute x = 1266 and y = 1755:

Find the third number - solve for z-variable:

Therefore, the third number is 47.
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
Alvin takes pictures with his smartphone. 
Of the pictures  are animals.
 are animals. 
 of the animals are dogs.
 of the animals are dogs.
To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:

<u>Another way</u> to solve this question:
Let the number of all pictures be 24 (divisible by both 4 and 6). 
Then the number of pictures with animals is 

and the number of pictures with dogs is 

Hence, the fraction of pictures with dogs of all pictures is 

 
        
                    
             
        
        
        
Based on the way these stations are connected, we can infer that there are <u>56 tubes. </u>
<h3>Number of tubes in Spaceland </h3>
Each pair of stations have 2 tubes. This means that every station is connected to each of the others. 
We can therefore infer that each station has 7 tubes to the other stations. 
The total number of tubes would therefore be:
= Number of stations x Number of tubes per station 
= 8 x 7
= 56 tubes 
In conclusion, there are 56 tubes. 
Find out more on proportionality problems at brainly.com/question/24822176.