<h2>
Answer:</h2>
The factorization of the given expression is given by:

<h2>
Step-by-step explanation:</h2>
To factor a polynomial means to express it as a product of the rational factor of the given expression.
The quadratic expression in terms of the variable y is given by:

It has three terms such that all the three terms are a multiple of 6 , hence we take out common 6 from each term to get the expression as:

It is the center point of graph possitive and negative.
The best answer is C) y=4.75 * cos(0.52x - 2.08) + 7.65
Unfortunately, the two only ways to solve this problem are to either graph all the options or plug in time values for x and see which agrees the most with the tide chart. Both are time-consuming, but I chose to graph each one with a graphing application.
Plugging in a few values for x confirms that C is the best function.
12pm (x=0)
y = 4.75 * cos(0 - 2.08) + 7.65
y = 5.334
2pm (x=2)
y= 6.5
4pm (x=4)
y=12.4
It is not a perfect representation, but the shape of the graph and closeness to the points given is the best of the four options provided.
Answer/Step-by-step explanation:
✔️Sin 22° = opp/hyp
Opp = 15
Hyp = 40
Sin 22° = 15/40
Simplify
Sin 22° = ⅜
✔️Tan 22° = opp/adjacent
opp = 15
Adjacent = √(40² - 15²) (pythagorean theorem)
Adjacent = √1,375 = 37.1 (nearest tenth)
Tan 22° = 15/37.1
Answer:
b = 5.7
A = 51.1°
B = 38.9°
Step-by-step explanation:
a = 7
c = 9
✔️Find b using Pythagorean theorem:
b = √(9² - 7²) ≈ 5.7
✔️Find A using trigonometric function:
Reference angle = A
Opposite = a = 7
Hypotenuse = c = 9
Apply SOH:



A = 51.0575587° = 51.1°
✔️B = 180 - (90 + 51.1) (sum of triangles)
B = 38.9°