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°
2.4 because 4.8/2 is 2.4. 14.4/4 is also 2.4. Constant of variation is the unit rate
<em>Answer,</em>
C. 1650
<em>Explanation,</em>
<em>495/6 = 82.5</em>
<em>82.5 x 20 = </em><em>1650</em>
<u><em>Hope this helps :-)</em></u>
Answer:
m = 124 degrees.
Step-by-step explanation:
The sum of the interior angles of a triangle is 180.
The angle opposite m + 56 + 68 = 180.
The angle opposite m = 56.
The angle opposite m + m = 180, so 56 + m = 180.
Angle m = 124.
Answer:
a = 8
Step-by-step explanation:
8 + 3 + 1 - 4 = 3a - 2a
8 = a
a = 8
I hope this helps a little bit.
