Answer:

Step-by-step explanation:
Given the rational expression: 
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator 





Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let, 
 = 
Multiply both sides by (x - 1)(x - 4)
 = 

Step 3:
Substituting x = 4 in 





Substituting x = 1 in 





Step 4: Plug in the values of A and B into the original equation in step 2


 
        
             
        
        
        
The room is not in shape of a square but a rectangle.
Question says Length is: 19 inches 
Diagonal is: 20.6 inches
In a square all sides are equal
Rectangle has just two sides equal
 
        
             
        
        
        
Answer:
Yes.
Step-by-step explanation:
x=2
y=6
(2) + (6) = 8
8 = 8
3(2) - (6) = 0
6 - 6 = 0
0 = 0
 
        
             
        
        
        
Answer:
Cos(2115°) =1/√2
Sin(2115°) = -1/√2
Step-by-step explanation:
We have to find the values of Cos (2115°) and Sin (2115°).
Now, 2115° can be written as (23×90°+ 45°).
Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.
Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)
Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)
Now, the required reference angle is 45°. (Answer)
 
        
             
        
        
        
Answer:
11.3353
Step-by-step explanation:
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