The trick here is to not use sin and cos at all.
The -13/15 is the x coordinate of a line from the origin to the unit circle (the line with angle theta). That happens to be the cos(theta).
The y coordinate is the sin(theta).
You can draw this as a triangle where x^2 + y^2 = 1.
So y = √(1 - (13/15)^2) ≈ 0.49889. But your exact answer should be:
I’m working on the same thing in school! For number 2, what i would do is start by setting up the scatter plot by using the X and Y table and create origins to place on the graph. ( ex. (1,30) for your first one ). Also, remember to write in the laps completed and calories burned. Next, estimate a line that meets as many points as possible. ( I would use the completed scatter plot in number 3 for an example for how to draw the line ). And that’s all I can help you with :( I forgot how to do the equation part because I just started with this on Monday. Hope this helps!
-Taylor
In the point (x, y), if x=0, then the point is on the y axis.
If y=0, the point is on the x axis
If both x and y are positive (greater than 0), the point is in quadrant 1
If x is negative (less than 0) and y is positive (greater than 0), the point is in quadrant 2
If both x and y are negative, the point is in quadrant 3
If x is positive and y is negative, the point is in quadrant 4
Taking (-3, 2), since 3 has a - sign before it (and nothing else), it is negative. Since the x value comes first, this means that x is negative. Since it simply states "2" for the y value, it is positive. As x is negative and y is positive, we know that the point is in quadrant 2.
I challenge you to do this on your own - good luck, and feel free to ask with further questions!
His car gets 21 mpg (miles per gallon). With 1 gallon he can drive 21 miles. For example, with 10 gallons, he can drive 21 mpg * 10 gal = 210 miles.
He bought $19.50 worth of gas at $1.40 per gallon.
$19.50 / ($1.40/gal) = 13.93 gal
He already had 5 gal of gas in his tanks, so now he has
5 gal + 13.93 gal = 18.93 gal
With 18.93 gal, he can drive
18.93 gal * 21 mpg = 292.5 miles
Answer:
Step-by-step explanation:
You don't know the number, so you replace it with x.
Since it is one third of x, you multiply x by 
Then you subtract 5 from the whole thing: 
