Answer:
Step-by-step explanation:
Now let us see the detailed solution of each part:
Part 1:
Part 2:
Part 3:
Part 4:
Part 5:
Part 6:
Please refer to attached image for the answers.
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Answer:
c= 9b/a
Step-by-step explanation:
The statement "y varies directly as x," means that when x increases, y increases by the same factor. The statement "y varies inversely as x means that when x increases, ydecreases by the same factor.
Then, we can say that:
c ∝ b, thus c= kb and c = k/a.
Using both equations we have that:
c= kb/a
Given that a=6, b=22 and c=33 we have that:
33 = 22k/6
Solving for k:
k=9.
Then the equation that models the situation is:
c= 9b/a
X² - 3x - 40
(x - 8) (x + 5)