The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
<h3>Solving trigonometry identity</h3>
If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;
Cos120 = cos(90 + 30)
Using the cosine rule of addition
cos(90 + 30) = cos90cos30 - sin90sin30
cos(90 + 30) = 0(√3/2) - 1(0.5)
cos(90 + 30) = 0 - 0.5
cos(90 + 30) = 0.5
Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
Learn more on unit circle here: brainly.com/question/23989157
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Answer:
e
Step-by-step explanation:
The cube on the top, the one with the width of 4 is Cube 1.
The other one is Cube 2.
The length of the cube is 4, the width 2, and the height 5.
We know the length is 4 because we can look at the side, where both measurements 6 ft and 3 ft can be found.
We know that the height is 5 because for Cube 2, the height is 3. The total height is 8, so we subtract 3 from 8. We get our difference of 5.
V = l x w x h
V = (4)(2)(5)
V = (8)(5)
V = 40.
Cube 2 has a length is 6, the width 2, and the height 3.
V = l x w x h
V = (6)(2)(3)
V = (12)(3)
V = 36
We add the volumes of both cubes.
40 + 36 = 76
probs not right but hope it helped :)
To find the x-intercept, substitute in
0
0
for
y
y
and solve for
x
x
. To find the y-intercept, substitute in
0
0
for
x
x
and solve for
y
y
.
x-intercept(s):
(
22.6
,
0
)
(
22.6
,
0
)
y-intercept(s):
(
0
,
18.8
¯
3
)
Given:
The expression is:
To find:
Part A: The expression using parentheses so that the expression equals 23.
Part B: The expression using parentheses so that the expression equals 3.
Solution:
Part A:
In option A,
[Using BODMAS]
In option B,
[Using BODMAS]
In option C,
In option D,
[Using BODMAS]
After the calculation, we have and .
Therefore, the correct options are B and D.
Part B: From part A, it is clear that
Therefore, the correct option is C.
