Let L be length and W be width
The perimeter of a rectangle is 2W+2L=36
Thus 2W=36-2L, W=18-L
Area of a rectangle is WL=80
Thus (18-L)(L)=80
18L-L^2=80
L^2-18L+80=0
(L-8)(L-10)
Thus L can either be 8 or 10.
Because WL=80
If L is 8, then W=10
If L is 10, then W=8
So either way, the notebook is 8 by 10
        
             
        
        
        
Answer:
$5879.4
Step-by-step explanation:
the monthly expense of the car is $489.95
no. of months=12
therefore, the expense= 489.95×12
 =$5879.4
 
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
Using De Moivre's theorem
Given
[ 4(cos15° + isin15° ) ]³, then 
= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]
= 64 (cos45° + isin45° )
= 64 ( +
 +  i )
 i )
= 64 ( (1 + i) )
 (1 + i) )
= 32 (1 + i)
 (1 + i)
= 32 + 32
 + 32 i
 i
 
        
             
        
        
        
Answer:
B) 63°
Step-by-step explanation:
<u>Step 1:</u> find the angle beside x (inside the pentagon)
<em>*A pentagon has a total of 540°</em>
119 + 100 + 116 + 88 = 423
540 - 423 = 117
<u>Step 2:</u> x is a supplementary angle, which means it's angle adds up to 180°
Since we know the other angle is 117°, we just subtract that from 180 
180 - 117 = 63
x = 63
 
        
             
        
        
        
Answer:
11 and 7
Step-by-step explanation:
Perimeter is all of the sides added together
11+11+7+7=36
Area of a rectangle is length x width
7*11=77
The answers are 7 and 11 for the length and width
Whether which one is the width and which is the length depends on which side is the longest.