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°
Answer:
ok
Step-by-step explanation:
ok i will follow because I can get points
Answer:
n=1
can you also please mark me as brainliest?
thanks!
Answer:
EXTRAPOLATION.
Step-by-step explanation:
We have been given a crossword puzzle in the figure
And we need to fill the missing word in this which has to be a mathematics word because we need to follow the pattern
And all words are mathematical
Hence, The word that can be filled there is EXTRAPOLATION.
Extrapolation means in mathematics is finding value of the variable on basis of the relationship this variable have with other variable.
All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)
1.15 ÷ 2.5 = 0.46
Therefore each pound costs $0.46
Hope this helps
-AaronWiseIsBae