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:
the value of x is 31 degrees
your profile says you're 22 but I find that painfully challenging to believe. She knits 5 scarves in 2 hours. Divide 10 by 2, you get 5. 5x5 is 25. It's C. You shouldn't need help. This is sad.
Answer:
Percent Decrease = 20% Decrease
Step-by-step explanation:
To find percentage decrease, we will use a simple formula shown below:
Percentage Decrease/Increase = 
Where
New is the latest number of members (which is 24)
Old is the initial number of members (which is 30)
<em>Note: the multiplication by a factor of "100" brings the answer to a percentage</em>.
Now, lets substitute the numbers and figure out the percentage decrease:
So, it comes to -20, which is a decrease of 20%
Answer:
D
Step-by-step explanation:
y=x+3/8x
