Answer:
-3 
 
 Explanation:

 = -3 
 
 So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.
 
        
        
        
Answer:
 A = 20sinθ(6 + 5 cosθ)  cm²
Step-by-step explanation:
Drop perpendiculars DE and CF to AB.
Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.
The formula for the area of the trapezium is
A = ½(a + b)h
DE = 10sinθ
AE = 10cosθ
BF = 10cosθ
EF = CD = 12 cm
AB = AE + EF  + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ
A = ½(a + b)h
    = ½(12 +12 + 20 cosθ) × 10 sinθ
    =(24 + 20 cosθ) × 5 sinθ
    = 4(6 + 5cosθ) × 5sinθ
    = 20sinθ(6 + 5 cosθ)  cm²
 
        
             
        
        
        
Answer:
x = 37 y = 12
Step-by-step explanation:
Let x be one number
Let y = other number
x+y = 49
x-y = 25
Add the equations together
x+y = 49
x-y = 25
---------------
2x = 74
Divide by 2
2x/2 = 74/2
x =37
x+y = 49
37+y = 49
Subtract 37 from each side
37+y-37 = 49-37
y = 12
 
        
             
        
        
        
The probabilities of knocking down zero, one, and two pins are 

 and 

, respectively.  The total probability of knocking down at most two is thus 

, or 

.