Answer: p(-4= -255
Step-by-step explanation:
p(x)=3x3-2x2+6x-4 The remainder theorem states that when we divide a polynoical          hope this helps
 
        
             
        
        
        
Answer:  6.75 feet
Step-by-step explanation:
Since, the ratio of the side of the similar triangle = 2 : 3
Thus, by the property of similar triangle,
The ratio of the altitudes of the triangle = 2 : 3
Let the altitude of smaller triangle = 2 x
And, the altitude of larger triangle = 3 x
Where x is any number.
According to the question,
2 x = 4.5
x = 2.25
Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet
 
        
             
        
        
        
Answer:
<em>Camera 2nd has to cover the maximum angle, i.e. </em> .
.
Step-by-step explanation:
Please have a look at the triangular park represented as a triangle  with sides
 with sides 
a = 110 ft
b = 158 ft 
c = 137 ft
1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.
We can use law of cosines here, to find out the angles 
As per Law of cosine:

Putting the values of a,b and c to find out angles  .
.



<em>Camera 2nd has to cover the maximum angle</em>, i.e.  .
.
 
        
             
        
        
        
Answer:
The answer is below
Step-by-step explanation:
12 inches = 1 ft.
6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.
Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.
The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²
The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²
ε/D = 0.0004 ft./ 0.5 ft. = 0.0008
Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.
The head loss (h) is:

 
The pressure drop (Δp) is:
Δp = ρg =
 = 
 
        
             
        
        
        
Answer:
Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5.
Step-by-step explanation:
hope this helped <3