The coterminal angle for the -4π/5 are -14π/5 , 6π/5 and reference angle is π/5 respectively.
<h3>What is coterminal angles?</h3>
Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have an angle:
-4π/5
To find the coterminal angle, add and subtract by 2π in the angle -4π/5
Coterminal angle:
= -4π/5 - 2π
= -14π/5
= -4π/5 + 2π
= 6π/5
Reference angle:
= π - 4π/5 (as the angle lies in the second quadrant)
= π/5
Thus, the coterminal angle for the -4π/5 are -14π/5 , 6π/5 and reference angle is π/5 respectively.
Learn more about the coterminal angles here:
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Answer:
Step-by-step explanation:
x and y are supplementary angles, so their sum is 180°.
x+y = 180°
x is 16° less than three times y
x = 3y - 16°
(3y-16°) + y = 180°
4y = 196°
y = 49°
x = 3y-16° = 131°
1. Volume of the sphere
Choice c
2. Algebra making a token effort to pretend to be geometry. Complementary angles add to 90 degrees.
(x+1) + (x-3)=90
2x -2 = 90
2x = 92
x = 46
Angles x+1=47 and x-3=43
Choice b
3. midpoint A=-5, E=5
The midpoint is just the average of A and E, here zero, point D
choice b
4. I can't really tell if x is supposed to be an angle or a length in this figure; presumably a length. I suppose we're to assume parallel lines; so this makes similar shapes, i.e. a proportionality:
Choice a
Rewrite
log
(
2
x
)
=
4
log2x=4 in exponential form using the definition of a logarithm. If
x
x and
b
b are positive real numbers and
b
b
≠
≠
1
1, then
log
b
(
x
)
=
y
logbx=y is equivalent to
b
y
=
x
by=x.
10
4
=
2
x
10,000,000+2,000,000+400,000+30,000
