Answer:
x≈231.123
Step-by-step explanation:
1) Make a ratio 314/2512= x/1584
2) Use the concept of cross multiplication and get 314*1584=2512x
3) Use Algebra:
314*1584=497,376
497,376/2152=2512x/2152
x≈231.123
 
        
             
        
        
        
Answer:
three boys to 1 girl
Step-by-step explanation:
a
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180 
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.) 
now we solve for x 
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100 
step 2 subtract 100 from each side 
180 - 100 = 80 
100 - 100 cancels out 
now we have 80 = 16x
step 3 divide each side by 16 
80/16 = 5 
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a 
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees
 
        
             
        
        
        
Answer:
$25.94
Step-by-step explanation:
150 ÷ 24 = 6.25
6.25 × 4.15 = 25.9375
25.94
 
        
             
        
        
        
Remember that the volume of a cylinder is 

so we have that 
![r=\sqrt[]{\frac{V}{\pi\cdot h}}=\sqrt[]{\frac{1909.92384}{3.14\cdot6.6}}=\sqrt[]{92.12}=9.6](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B%5Cfrac%7BV%7D%7B%5Cpi%5Ccdot%20h%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B1909.92384%7D%7B3.14%5Ccdot6.6%7D%7D%3D%5Csqrt%5B%5D%7B92.12%7D%3D9.6)
so the radius is 9.6 milimeters