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erastovalidia [21]
3 years ago
8

Find the reference angle for the given angle. Show your work. -404°

Mathematics
2 answers:
Mamont248 [21]3 years ago
6 0

Answer:

44°

Step-by-step explanation:

The reference angle is the magnitude of the smallest angle between the terminal ray and the x-axis.

Your angle is one full circle clockwise plus 44° more (-360° -44° = -404°), so makes an angle of -44° with respect to the positive x-axis. The magnitude of that is 44°.

_____

<em>Using a function</em>

The attachment shows a calculator function that can be used to find the reference angle for any angle. (Replace the value -404 with the angle of your choice.)

Katarina [22]3 years ago
3 0

Answer:

44 degrees.

Step-by-step explanation:

What the reference angle is asking for, is that when you rotate that amount of degrees(or radians), you want to find the angle when you connect it to the x-axis. For example, (the attachment) the angle 200 is the same as if you go 20 degrees from the left side of the x axis. So, the same applies if the angle is negative. Also, if you're angle(but it's positive) is bigger than 360, you can just ignore it because it is a full rotation. So 404 is bigger than 360, so we can ignore it. 404-360 is 44. So that means we really rotated -44, meaning we spun clockwise instead of counter clockwise. Now, since our positive angle(44) is less than 90, we are done. This is because if our reference angle is greater then 90, than we can just create a new angle because it would leak into another quadrant, meaning we can define a new reference. Hope this makes sense.



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Answer:  The image of the completed table is shown below

In the completed table, we have the following values (left to right)

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==============================================

Explanation:

We're told that "40 people responded that they use mouthwash". That means we'll write "40" at the very end of the "use mouthwash" row. This represents the total number of people who use mouthwash, since we're underneath the "total" in that far right column.

Then we're further told that "Of the people who use mouthwash, 30 people use floss", so we'll write "30" in the first row, first column blank space. These are the people who both floss and use mouthwash. Because earlier we know 40 people use mouthwash overall, this leaves 40-30 = 10 people who use mouthwash, but they don't floss.

To summarize so far: In row 1, we have the following values from left to right: 30, 10, 40

The first two items of this row must add to the last item.

---------------------

Now onto row 2

Since 40 people use mouthwash, and 100 people were surveyed, this means that 100-40 = 60 people do not use mouthwash.  The value 60 goes at the very end of row 2. This represents another total.

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----------------------

Row 3

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The full completed table is shown below.

------------------------

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