Answer:
x=125
Step-by-step explanation:
∠PAT=180° - ∠ATP - ∠APT
∠PAT=180 - 3x - 3 -4x -4= (173 - 7x)°
3x + 3 + 4x + 4 + 173-7x = 180  
⇔x = 125
 
        
             
        
        
        
Answer:
162
Step-by-step explanation:
Given algebraic expression:
To:
- Evaluate this expression,with : x = 6
Solution:
Simplify by plugging x = 6
- 4(6)²+3(6)
- 4(36) + 18
- 144 + 18
- 162
<em>We can conclude:</em>
By evaluating this expression by x = 6 , the answer will be 162.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Sinθ = 
If, sinθ = - and π < θ <
 and π < θ < 
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°) 
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = 
tan(210°) = 
csc(210°) = 
sec(210°) = 
cot(210°) = √3
 
        
             
        
        
        
Answer:
Common ratio r = 2
Step-by-step explanation:
 the fith term of a G.P is 8 times the 2nd term.
 the fith term of a G.P is 8 times the 2nd term. 

Hence, common ratio is 2.
 
        
                    
             
        
        
        
Step-by-step explanation:
a) The total cost C is given by

b) If the total cost is $400, then we can solve for the number of hours as

Solving for n, we get
