Answer:
5 Hours
Step-by-step explanation:
8 x 5 = 40.
Heather wants to spend $35 dollars at most. She has a discount for $5 dollars off, so basically we do 40 -5, which equals $35.
Both angles equal 117 so you put both angle equations together and set them equal to 117 then x= -2
Plug the -2 in for the x in both separate equations to get
M< XYW = 32°
M< WYZ = 85°
Answer:
Step-by-step explanation:
Add the two equations together:
(x -y) +(x +y) = (34) +(212)
2x = 246
x = 123
y = x-34 = 89
Malik has 89 foreign stamps and 123 domestic stamps.
Begin with cos(θ) = 5/13, θ in Quadrant IV
you should distinguish the 5-12-13 right-angled triangle
and then cosØ = adjacent/hypotenuse
x = 5, r = 13 , y = -12, since Ø is in IV
and sinØ = -12/13
also tan(ϕ) = −√15 = -√15/1 = y/x and ϕ is in II,
y = √15 , x = -1
r^2 = x^2 + y^2 = 15+1 = 16
r = 4
sinϕ = √15/4 , cosϕ = -1/4
you must know that:
cos(θ − ϕ) = cosθcosϕ + sinθsinϕ
= (5/13)(-1/4) + (-12/13)(√15/4)
= -5/52 - 12√15/52
= (-5-12√15)/52
