Answer:
A  4/605
Step-by-step explanation:
mathematics = 11 letters
P(m) = number of m's/total = 2/11
we replace it so we have  mathematics = 11 letters
P(s) = number of s's/total = 1/11
not replacing it
we replace it so we have  mathematic = 10 letters
P(vowel) = number of vowel/total = 4/10 = 2/5
P(m, replace,s, no replace, vowel) = 2/11*  1/11 * 2/5 =  4/605
 
        
                    
             
        
        
        
A kite is flying at an angle of elevation of 48 degrees
        
             
        
        
        
x-intercept is for y = 0.
Put y = 0 to the equation of a linear function:
4x - 3(0) = 24
4x - 0 = 24
4x = 24     <em>divide both sides by 4</em>
x = 6
<h3>Answer: x-intercept = 6 → (6, 0)</h3>
 
        
             
        
        
        
Answer:
a) The polynomial is equivalent to  , and the side length of the playground is
, and the side length of the playground is  feet.
 feet.
b) The perimeter of the playground, measured in feet, is  .
.
Step-by-step explanation:
a) By Geometry, we know that area of the square is equal to the square of the side length. If  is the area of the square, then must be a perfect square trinomial, that is:
 is the area of the square, then must be a perfect square trinomial, that is:
 (1)
 (1)
Then, we must observe the following properties:
 (2)
 (2)

 (3)
 (3)

Therefore, the polynomial is equivalent to  , and the side length of the playground is
, and the side length of the playground is  feet.
 feet.
b) The perimeter of a square equals four times the side length. That is:

The perimeter of the playground, measured in feet, is  .
.