You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
144.5
Step-by-step explanation:
289÷2=x
Answer:
The bracelet will cost 85$ and it'll have 2 charms.
Step-by-step explanation:
In order to find the total cost of the bracelet and how many charms it'd be we need to build an equation for each store. So we have:
Oak Grove:
total cost = 16*charm + 53
Sandoval:
total cost = 27*charm + 31
We then find the number of charm that'll make them equal, since the price has to be the same on both shops:
16*charm + 53 = 27*charm + 31
27*charm - 16*charm = 53 - 31
11*charm = 22
charm = 2
The cost of the bracellet is:
total cost = 27*2 + 31 = 85 $
Answer:
multiply
Step-by-step explanation:
Please enclose the "nt" inside parentheses: <span>A(t)=P(1+r/n)^(nt).
Then: A = $500*(1+0.06/12)^(5*12) = $641.68</span>
