Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
A= 2.5
b= 2
LM/ON= 15
LO/MN= 5
I don’t know guat your sayin my friend my bad
Well you have to first find the constant of Brand X which would be 2.70/10 = .27. Brand Y is .4 more so that would be .31 per ounce. So then .31 x 11 = 3.41. The cost of 11 ounces of brand Y is $3.41.
X-62=123
+62 +62
_________
x=185
you need to add a positive 62 from each side so -62+62=0 and 123+62=185
therefore, x=185
:Done! hope this helps!
