If t is the point at the given distance on the unit circle c from p (1, 0), determine the quadrant in which t lies:
11pi/6

a) i
b) ii
c) iii
d) iv

Option d) is correct

Step-by-step explanation:

T is a point at a given distance on the unit circle from P(0,1) .

Clearly, the point P(0,1) lies on the circle itself .

To find: the quadrant in which T lies

Given: angle at which point T lies is .

Solution :

As ,

So, basically we are talking about the fourth quadrant as angle lies in the fourth quadrant .

Therefore, point T lies in quadrant IV.

i.e If T is the point at the given distance on the unit circle C from P (1, 0), then T lies in the IV quadrant.

So, option d) is correct .

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: