Cosα=x/L
L=x/cosα, we are told that the ladder base is 48 ft from the base of the wall and α=39° so:
L=48/cos39 ft
L≈61.76 ft (to nearest hundredth of a foot)
The greatest common factor is 
Explanation:
The given expression is 
We need to determine the greatest common factor of the given expression.
The greatest common factor of two numbers is the largest number of the two numbers that divides them both.
Hence, from the given expression, let us common out the highest factor that divides the two numbers.
Thus, we have,

Thus, the largest number that divides both the terms is 
Hence, the greatest common factor of the given expression is 
Answer:
3x+12 is the sum
9x-2 is differences
Step-by-step explanation: Combine like terms
Perimeter= 2w+2l
l=w+5
Substitute for l
p= 2w+2(w+5)
p= 2w+2w+10
p= 4w+10
58=4w+10
48=4w
12= w
Plug in the width to find length.
l= 12+5
l=17
Final answer: Length-17 cm, Width-12 cm