Answer:
Multiply the whole numbers by their denominators and then add the product to their numerators. You will notice that they equal the same improper fraction.
Step-by-step explanation:
4 * 6 = 24.
24 + 2 = 26.
4 2/6 as an improper fraction equals 26/6.
3 * 6 = 18.
18 + 8 = 26.
3 8/6 as in improper fraction equals 26/6 as well.
So that is how they are equivalent.
 
        
                    
             
        
        
        
Answer:
arc ABC = 196°
arc DC = 360 - 196 - 70 = 94°  (which looks out of proportion, but so does angle D)
Step-by-step explanation:
arc ABC = 2(∠D) = 2(98°) = 196°
 
        
             
        
        
        
Answer:
y = 3 - x + x²
Step-by-step explanation:
Given the data:
x. y
-5 33
-2 9
-1 5
0 3
3 9
4 15
6 33
General formof a quadratic model:
y = A + Bx + Cx²
Using the quadratic regression model solver for the data Given:
The quadratic model fit obtained is :
y = 3 - x + x²
 
        
             
        
        
        
C=2pr,  r=c/(2p)
a=pr^2, using r found above we get:
a=p(c^2/(4p^2))
a=(c^2)/(4p), since c=106.76 and we approximate pi as 3.14
a=(106.76^2)/(4*3.14)
a=11612.2176/12.56 cm^2
a≈924.54 cm^2  (to nearest one-hundredth of a square cm)
        
             
        
        
        
Answer:
80 minutes
Step-by-step explanation:
(3/4)/30=2/x
cross product
30*2=(3/4)x
60=3/4x
x=60/(3/4)
x=(60/1)(4/3)
x=240/3
x=80