Answer:
Step-by-step explanation:
If arccos (√3 / 2) = β, then cos β = adjacent side / hypotenuse = √3 / 2. This tells us immediately that the adjacent side length is √3 and the hypotenuse is 2. Via the Pythagorean Theorem, we know that the third side is 1.
This information rules out the 1st and 3rd answer choices.
Because cos 30° = adj / hyp = √3 / 2, we can conclude that the correct answer is the 4th one: 30°, 60°, 90°
Hello from MrBillDoesMath!
Answer:
0
Discussion:
For the quadratic ax^2 + b^x + c, the discriminant is b^2 - 4ac. In our case, the discriminant is
(-20)^2 - 4 (4)(25) =
400 - 4 (100) =
0
(This means the polynomial has a duplicate root. In fact it factors as (2x-5)^2 ).
Thank you,
MrB
One approach that might be a great help would be if you would look
at the choices ... those things at the bottom of the question that you
didn't give us.
-- One leg is 3 times the length of the other leg.
-- Any right triangle that has one leg three times as long as the other
leg is similar to this triangle.
I'll bet that if you look through the choices, you'll find one there.