cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
It would take Samantha 40 minutes to run 5 miles!!!
Answer:
For Company A to have a better deal, the truck must be driven more than 250 miles per day.
Step-by-step explanation:
Given that:
Rent per day of company A = $70
Per mile charges = $0.20
Let,
x be the number of miles.
A(x) = 0.20x + 70
Rent per day of company B = $20
Per mile charges = $0.40
B(x) = 0.40x + 20
For make Company A better deal,
A(x) > B(x)
0.20x+70 > 0.40+20
0.20x-0.40x>20-70
-0.20x>-50
Dividing both sides by -0.20

Hence,
For Company A to have a better deal, the truck must be driven more than 250 miles per day.
Answer:
See below.
Step-by-step explanation:
He does not have enough to loose 2,000,000 at that point, so this whole problem is nonsense.
Please post the question ..i'll solve for x