Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:

Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting
, we get


Therefore, the standard form of the given circle is
.
U . v = |u| . |v| cos 60 = 10 * 8 * 0.5 = 40 This is called the scalar (or dot) product.
Kim's method of sampling the students in the given scenario is said to; It is not a random survey.
<h3>What is a random sample?</h3>
Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.
In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.
Now, Kim's method is not random because it is biased as only those who came earliest were asked.
Read more about Random Survey at;brainly.com/question/251701
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Answer:
1) 0, 180
2) 90
3) 3pi/2
4) pi/2, -3pi/2
5) 90, 270
6) 0
7) pi
8) -2pi, 0, 2pi
Step-by-step explanation:
1) sinx = 0
x = 0, 180, 360
2) sinx = 1
x = 90
3) sinx = -1
x = 270 or 3pi/2
4) sinx = 1
x = pi/2, pi/2 - 2pi = -3pi/2
5) cosx = 0
x = 90, 360
6) cosx = 1
x = 0, 360
7) cosx = -1
x = pi
8) cosx = 1
-2pi, 0 , 2pi
I just copied and pasted your question on google and a graph came up it may not be the answer but i tried...