Answer:
The exact value of cot(∅) is 2.5
Step-by-step explanation:
The picture of the question in the attached figure
we know that
An isosceles triangle has two equal sides and two equal interior angles
In his problem


In the right triangle ABD
---> adjacent side angle ∅ divided by the opposite side angle ∅
we have
The base of the isosceles triangle is five times the height
so



substitute

Answer:
11. x = -16
12. k = 6
13. x = -19
14. x = -6
15. x = -20
16. Combining like terms isn't to be used on this type of problem. I'm sorry, can you guess on this one?
17. x = 19
18. n = -10
19. b = 11
20. n = 4
21. r = -6
22. n = -4
Again super sorry about question 16 :(
Answer:
the other endpoint is 
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to

Let

so
-----> 
-----> 
therefore
the other endpoint is 
Answer:
Step-by-step explanation:
Given
Cost Price 
Price 
Revenue generated 
where x=no of units

To get maxima and minima differentiate R(x)




maximum Revenue 
(b)Profit=Revenue - cost



differentiate Profit to get maximum value


maximum Profit 
(c)Now company decided to tax the company $ 55 for each set
Profit 


differentiate Profit to get maximum value




company should charge 207.5 $ for each set