Answer:
C
Step-by-step explanation:
Remember the mnemonic: SohCahToa, where:

Let's determine our side lengths first.
Note that our angle is A. So, we have to determine the sides with respect to A.
The opposite side to A is 16.
The adjacent side is 12.
And the hypotenuse is 20.
With this, we can find our trig ratios:
Sine:

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

Reduce:

Cosine:

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

Reduce:

Tangent:

Substitute 16 for the opposite and 12 for the adjacent. This yields:

Reduce:

So, our answers are:

Out of the answer choices, the choice that represents this is C.
So, our correct answer is C.
And we're done!
15x + 18y ≥ 120 would be the inequality
Answer:
The number of heads observed is 121.14 heads
Step-by-step explanation:
The formula for the z-score of a proportion is given as follows;

Where:
= Sample proportion
p = Population success proportion = 0.5
q = 1 - p = 1 - 0.5 = 0.5
n = Number in of observation = 200
z = 2.99
Hence, we have;

Therefore;

= 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.
Answer:
( x + 36 ) ( x - 2 ) = 0
Step-by-step explanation:
x^2 + 36x - 2x -72 = 0
x ( x + 36 ) - 2 ( x + 36 ) = 0
( x + 36 ) ( x - 2 ) = 0