A plane contains how many lines? one line two lines three lines infinite number of lines
2 answers:
Answer:
The answer is infinite number of lines
Step-by-step explanation:
In math, a plane may be described parametrically as the set of all points of the form:
where "q" and "z" are coefficient in the range over all real numbers, "h" and "k" are given linearly independent vectors defining the plane, and is the vector representing the position of an arbitrary (but fixed) point on the plane.
The vectors "h" and "k" can be visualized as vectors starting at and pointing in different directions along the plane. The vectors "h" and "k" can be perpendicular, but cannot be parallel.
Therefore, the vectors represents lines with different directions. If we fix the , then the others vectors, "h"and "k", will define the plane, and obviously there are infinite vectors.
Finally, a plane contains infinite number of lines.
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We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.
A) Rosa
Number of blue marbles = 10
Number of purple marbles = 12
Ratio of blue to purple marbles =
B) Chi
Number of blue marbles = 5
Number of purple marbles = 6
Ratio of blue to purple marbles =
C) Alberto
Number of blue marbles = 5
Number of purple marbles = 12
Ratio of blue to purple marbles =
D) Pedro
Number of blue marbles = 10
Number of purple marbles = 6
Ratio of blue to purple marbles =
From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.
Thus, the player which gets to go first is Pedro.
Well, the cos(∅) is negative in the second and third quadrants. If you are solving for theta, you would use the inverse of the cos or arccos
take the inverse of both sides to get:
x = arccos(-2/3) now evaluate the right
x = 131.8103149 degrees
to find your second solution, subtract your reference angle from 360 degrees.
360 - 131.8103149 = 228.1896851 degrees
Now the period of cos is 2π or 360 degrees. So if you want to consider all possible solutions, you would need to add/subtract 360n to both solutions above..
Not sure if this is what you're looking for, but thought I would leave it here for you just in case... As a side note, you could do this problem in radian measurement as well.
x = arccos(-2/3) now evaluate the right
x = 131.8103149 degrees
to find your second solution, subtract your reference angle from 360 degrees.
360 - 131.8103149 = 228.1896851 degrees
Now the period of cos is 2π or 360 degrees. So if you want to consider all possible solutions, you would need to add/subtract 360n to both solutions above..
Not sure if this is what you're looking for, but thought I would leave it here for you just in case... As a side note, you could do this problem in radian measurement as well.