Answer:
Increased by a factor of 4
Step-by-step explanation:
The original circumference is:
C1 = 2 * pi * r1
The new circumference is:
C2 = (2 * pi * r2)
"circumference that is 4 times larger than the original"
(2 * pi * r2) = 4 (2 * pi * r1)
Rewriting:
r2 = 4r1
Answer:
The radius of the original circle is:
increased by a factor of 4
Hope this helps :)
It would be heads 3 and 1/3 of the time and tails 6 and 2/3 coming to an outcome of 10
Answer:
A. The data set would have a linear association.
C. The data set would have a positive correlation.
E. Every student earns 16 more points for each additional hour they study.
F. Students that study more tend to earn better grades on the test.
Step-by-step explanation:
Since in the question it is mentioned that the teacher obtained data with regard to the number of hours that students spent for their test and on their results. She found that on an average for each 30 minutes studied, the graded would rise by 8 points
Now this kind of relationship represents the linear association, positive correlation and study more earn better
Therefore the above three statements are true
Answer:
Step-by-step explanation:
If you plot this angle in the coordinate plane, you will find yourself in the fourth quadrant with a referencew angle of 30. Constructing the triangle from that reference angle and using the Pythagorean triple for a 30-60-90 triangle, you get that the side adjacent to the reference angle is √3, the side opposite the reference angle is a -1, and the hypotenuse (which is NEVER negative!) is 2. The x and y coordinates of the terminal point result from the cos (related to the x coordinate) and the sin (related to the y coordinate). The cos of 30:
and the sin of 30:
so the coordinates of the terminal point on that angle are
You could also just go to your unit circle, find the angle 330 and look at the coordiantes they give you there for (cos, sin). But I'm a high school math teacher so I wanted you to know how to find this outside of the unti circle. Cuz what if you lost it!?
