Answer:
<1 and <2 are remote interior angles of <6
<2 and <3 are remote interior angles of <4
Answer:
50%
Step-by-step explanation:
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⠀⠀┃┏┗┛┓┃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀╰┓▋▋┏╯⠀⠀⠀⠀⠀⠀⠀⠀
⠀╭━┻╮╲┗━━━━━╮╭╮⠀
⠀┃▎▎┃╲╲╲╲╲╲╲┣━╯⠀
⠀╰━┳┻▅╯╲╲╲╲╲┃⠀⠀⠀
⠀⠀⠀╰━┳┓┏━┳┓┏╯⠀⠀⠀
⠀⠀⠀⠀⠀┗┻┛⠀┗┻┛⠀⠀⠀⠀
Given :
An equation, 2cos ß sin ß = cos ß .
To Find :
The value for above equation in (0, 2π ] .
Solution :
Now, 2cos ß sin ß = cos ß
2 sin ß = 1
sin ß = 1/2
We know, sin ß = sin (π/6) or sin ß = sin (5π/6) in ( 0, 2π ] .
Therefore,
Hence, this is the required solution.
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Answer:
b³
Step-by-step explanation:
The lowest common multiple of the expression is b². This because, taking out a factor of b, b ( b² + 6b ), taking out a factor of b², b² ( b + 6 ),
taking out a factor of ( b + 6 ), ( b + 6 ) b². As a result b² is only the option which is not a factor.
