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In the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.
In trigonometry, for a right triangle, the <u>sine</u> (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).
In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.
The side opposite to angle J is KL, which has a value of 3 units.
The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.
Thus, sin J can be calculated as:
sin J = KL/JK = 3/7.8 = 5/13 = 0.39.
Thus, in the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.
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Answer:
A
B
D
Step-by-step explanation:
A 230 divided by 4 is 57.5 which makes A a true statement.
B 296 divided by 5 is 59.2 which makes B a true statement .
D 296 - 230 =66
66 - 57.5 = 8.5
Which makes D a true statement by a margin of 8.5 words.
Every single one of those expressions factor. When factored, this is what we have:

. After canceling out like factors, what we are left with is this:

. That means that b = 9, c = 1, and d = -2
A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.
<h3>What is a positive correlation?</h3>
A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.
This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.
Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.
In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.
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