Students total 43430
5742 students more

43430-5742=37688

37688/2 = 18844

ANSWER
Country 1 : 18,844 students

Country 2 : 24,586 students

Explanation: By taking away the 5742 students you set them off to the side. Leaving you with a new sum. You then divide the sum by the number of countries (2). Add the remainder of the students to one of the countries.

6 0

3 years ago

If sin theta is negative and cot theta is positive, in which quadrant does theta terminate?

krok68 [10]

All you need to know is that:

In the first quadrant, both coordinates are positive
In the second quadrant, x is negative and y is positive
In the third quadrant, both coordinates are negative
In the fourth quadrant, x is positive and y is negative
The sine is the y coordinate of the points on the unit circle
The cosine is the x coordinate of the points on the unit circle
The cotangent function is defined as the ration between the cosine and the sine of an angle.

So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that

$\dfrac{\cos(\theta)}{\sin(\theta)}>0$

The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.

Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.

So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.

8 0

3 years ago