Which of the following is a tip for the passage-based reading questions in the critical-reading section of the PSAT? (APEX)
1 answer:
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Answer:
A
Explanation:
You must know the basics of Trigonometry to solve this.
First, you must know that
lies in the second quadrant, so sin is negative.
Next, since
pi/4, is the reference angle of 3 pi/4, this means that we can set up a right triangle with pi/4 as an angle, we get
So the answer is A
<h2>Right answer: I and II only </h2>
If we already have the formula to find how temperature measured in degrees Fahrenheit, relates to a temperature in degres Celsius:
(1)
We can know the formula to find how temperature measured in degrees Celsius, relates to a temperature in degres Fahrenheit, only by isolating F:
(2)
Having both formulas, let’s begin:
I) If we want to prove that a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius:
Beginning with :
This means:
Now we are going to increase 1 degree Farenheit. In other words, we are going to use :
This means:
Calculating the difference between and
:
>>>>This is equal to 5/9 degree Celsius, hence is correct
II) If we want to prove that a temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit:
Beginning with :
This means:
Now we are going to increase 1 degree Celsius. In other words, we are going to use :
This means:
Calculating the difference between and
:
>>>>This is a proof of the statement, hence is also correct.
III) If we want to prove that a temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius:
Beginning with :
This means:
Now we are going to add :
And use this value in the Celsius formula:
This means:
In other words: An increase in 5/9 degree Fahrenheit is equivalent to a temperature increase of 1.30 degree Celsius, <u>not 1 degree Celsius</u>.
Therefore this statement is incorrect.