Answer: 20 feet perimeter is the largest allowed
Step-by-step explanation:  width=2.5 length=no more than 3x2.5
so find longest possible length allowed...
2.5x3=7.5
calculate largest perimeter allowed...
2(7.5+2.5)=20
 
        
             
        
        
        
Answer:
0.9355
Step-by-step explanation:
What we will use here is conditional probability formula.
let A be the event that the plane departs on time 
and B be the event that it arrives on time 
P(A) = 0.87
P(B|A) = 0.93
P(B) = ?
P(A n B) = ?
Mathematically;
P(B|A) = P(B nA)/P(A)
0.93 = 0.87/P(A)
P(A) = 0.87/0.93
P(A) = 0.935483870967742
which is 0.9355 to four decimal places 
 
        
             
        
        
        
Answer:
4
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = ( ,
,  )
 )
AB =  +
 + 
=  +
 + 
= 
= 
= 4
 
        
             
        
        
        
Answer:
AC=18
Step-by-step explanation:
To find AC, use the Pythagorean Theorem.  Since the longest side (hypotenuse) is known, instead of a²+b²=c², the equation will be c²-a²=b².  12²-8²=b²
144-64=b²
80=b²
√80=√b²
8.94427191=b
That is for one of the two right triangles that make up the tent.  Since there are 2 triangles, 8.94427191 only equals BC or AB.  So, multiply 8.94427191×2=17.88854382 to find the length of AC.
AC= 18
 
        
             
        
        
        
Answer:
y= -2x + (-6)
or
y= -2x - 6
both work !
Step-by-step explanation: