Answer:
let the size of the real item be x 
then the size of model as prodived will be =
60% of X
60/100 × X 
=3X/5 .
 
        
             
        
        
        
Answer:
θ =  (60° )
 (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x 
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1
2cosθ - 1 = 0
cosθ =  , so
 , so
θ =  (
 ( ) =
 ) =  ( or 60° )
 ( or 60° )
 
        
                    
             
        
        
        
Answer:
3+13i
Step-by-step explanation:
(10+10i)+(-7+3i)
Combine the real parts
10+-7 = 3
And the imaginary parts
10i +3i = 13i
Combine them to make the complex number
3+13i
 
        
             
        
        
        
The answer is 9 because I did the math
        
                    
             
        
        
        
x = average of next 5 quizzes
4 * 73 = first 4 quizzes
There will be a total of 4 +5 = 9 quizzes
Average of all quizzes = 88 = (4*73+5x)/9
 
9*88 = 9*(292 +5x)/9
792 = 292 + 5x
500 = 5x
X = 500/5 = 100
<span> Next 5 quizzes need
to average 100</span>