Check the picture below
notice, that running a line from the center, you end up with an angle bisector to a vertex of the triangle, now, this is a "regular polygon", so, all sides are equal, for a triangle, when all sides are equal, all angles are also equal, and since the sum of all internal angles in a triangle must add up to 180°, then that means, each angle is 60°
now, you run an angle bisector through it, you end up with a 30°, 30° split, and that gives you a 30-60-90 triangle
The given equation is in point-slope form.
The general form of an equation in point slope form is:
Here m is the slope and
and
are the coordinates of the point.
So in given equation the slope is 2/3, and the coordinates of point are (1,3)
The answer will be fg = 7 and fx = 7
Answer:
a. 1844
b. 664
Step-by-step explanation:
a. No estimate of proportion is given so we will assume:
{p} = {q} = 0.5
For 99% confidence, z = 2.576
E = 0.03
Hence, Required sample size n = (0.5)*(0.5)*(2.576/0.03)^2 = 1844
b. {p} = 0.10
{q} = 1 - {p}
{q} = 1 - 0.10
{q} = 0.90
For 99% confidence, z = 2.576
E = 0.03
Hence, Required sample size n = (0.1)*(0.9)*(2.576/0.03)^2 = 664
c. There would have been no effect on parts a and b if entire US has been chosen because minimum sample size required is not dependent on population size.
Put the bottom middle of the protractor on pt Q
Then put the bottom of the protractor on QR
Then whatever degree is on QP is your answer to the first question.
The answer to the second question depends on what angle you got.
90> = Acute
90 = Right
90< = Obtuse