<span>angle = arcsin(5.5/200) = 1.575 degrees</span>
Non-linear graph best describes this function.
<h3>
Why nonlinear?</h3>
As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.
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The correct answer is Option A , D , E.
<h3>
What is meant by ratio?</h3>
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.
<h3>
What is meant by ratio in simplest form?</h3>
Ratio in it's simplest form means when the ratio can't be simplified anymore by cancelling out the common factors.
The ratio in Option(A) can't be simplified anymore because 29 is a prime number.
The ratio in Option(B) can be simplified to 1 / 7.
The ratio in Option(C) can be simplified to 5 / 2.
The ratio in Option(D) can't be simplified.
The ratio in Option(E) can't be simplified because 19 is prime number.
Hence, the correct answer is Option A , D , E.
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The function that describes the line that has a y-intercept of -3 and a slope of 2/3 is y = 2/3x - 3. Hope that helps!
Given:
A figure.
To find:
The value of x.
Solution:
Draw two parallel lines as shown in the below figure.
If a transversal line intersect two parallel lines, then alternate interior angles are same.
(Alternate interior angle)
(Alternate interior angle) ...(i)
The value of angle d is
Using (i), we get
If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.
Now,
Therefore, the value of x is 70.
