Answer:
74 units squared
Step-by-step explanation:
we know that the area of a square or rectangle is A = L × w
so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.
so I'll start with the middle square its length is 8 and width is 8 too.
A = 8 × 8
A = 64
now we'll move on to the other small ones to the side.
the one on the right side it's length is 2 and width is 2.
A = 2 × 2
A = 4
and then the last one on the left, Length is 3, width is 2.
A = 2 × 3
A = 6
now we'll add up all of the areas to get the total area.
Total = 64 + 4 + 6
Total = 74 units squared
 
        
             
        
        
        
Answer:
x =  2i, x = -2i and x = 4 are the roots of given polynomial.
Step-by-step explanation:
We are given the following expression in the question:

One of the zeroes of the above polynomial is 2i, that is :

Thus, we can write

Now, we check if -2i is a root of the given polynomial:

Thus, we can write

Therefore,

Dividing the given polynomial:

Thus,

X = 4 is a root of the given polynomial.

Thus, 2i, -2i and 4 are the roots of given polynomial.
 
        
             
        
        
        
Answer:  nickels = 14, dimes = 42, quarters = 18
<u>Step-by-step explanation:</u>
Let n represent nickels <em>which has a value of $0.05 </em>
Let d represent dimes <em>which has a value of $0.10</em> 
Let q represent quarters <em>which has a value of $0.25</em>
It is given that:
                        n = n
                       d = 3n
                       q = n + 4
and their total value is $9.40    ⇒     n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
  5n    +  10(3n) +   25(n+4)   = 940           <em>multiplied by 100 </em>
  5n    +   30n   +  25n + 100 = 940          <em>distributed</em>
                             60n + 100 = 940          <em>added like terms</em>
                             60n           = 840          <em>subtracted 100</em>
                                  n           = 14            <em>divided by 60</em>
n = 14
                 d = 3n 
                    = 3(14)
                    = 42
                                        q = n + 4
                                           = (14) + 4
                                            = 18
 
        
             
        
        
        
Uncle peter-relative
january-month
jesse owens-athlete
william shakespeare-author
sunday-day
chrysler-automobile
        
                    
             
        
        
        
Answer:  a) Mean = 5, Median = 5
b) Mean = 15, Median = 5
c) Due to presence of outlier i.e. 99.
Step-by-step explanation:
Since we have given that
1,2,3,4,5,6,7,8,9
Here, n = 9 which is odd
So, Mean would be 

Median = 
If 9 is replaced by 99,
1,2,3,4,5,6,7,8,99
So, mean would be 

Median would be same as before i.e. 5
The mean is neither central nor typical for the data due to outlier i.e. 99 
Hence, a) Mean = 5, Median = 5
b) Mean = 15, Median = 5
c) Due to presence of outlier i.e. 99.