20.9 ft
This is a right triangle trigonometry question because N is 90 degrees. MN is adjacent to M and LM is the hypotenuse. Adjacent any hypotenuse use the cosine function.

plug in known values

switch cos(20) and x using the products property

plug into calculator to get 20.9 ft
Answer:
1743.39
Step-by-step explanation:
5000(1-0.1)^10 is the function
I think your first answer is correct
Answer: (x - 1)(x - 23)
Step-by-step explanation:
First, we can factor the x² part:
(x)(x)
Next, we will look at the -24x and +23
-> We need two numbers that multiply to 23 and add to -24
-> 23 is a prime number, so we will use 1 and 23
For -24, 1 and 23 must be added together. Since a negative times a negative is a positive, and a negative plus a negative is a positive, we will turn them into -1 and -23.
This gives us a final answer of:
(x - 1)(x - 23)