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
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Answer:
2 pi*r^2 + 2 * pi *r * h
Step-by-step explanation:
I will assume that you are looking for surface area
We need to find the area of the top and the bottom, which is the area of a circle
top: pi * r^2
Bottom: pi r^2
Then the side which is the circumference times the height ( it is a rectangle)
side: 2 * pi *r * h
Add them together to get the surface area
SA = pi * r^2 + pi * r^2 + 2 * pi *r * h
= 2 pi*r^2 + 2 * pi *r * h
Answer:
We would need 30 grams of white flour.
Step-by-step explanation:
To find this, we would need to set up a proportion. However, before that, we need to figure out how much white flour the original recipe was calling for. To find that, we would do 600 subtracted by 480, which is 120. This is how we would set up the proportion :
120/480 = x/120
480x = 120(120)
480x = 14400
x = 30
So, we would need 30 grams of white flour! :)
Answer:
x = 14
Step-by-step explanation:
Solve for x:
4 x - 2 (x - 8) = -12
-2 (x - 8) = 16 - 2 x:
4 x + 16 - 2 x = -12
4 x - 2 x = 2 x:
2 x + 16 = -12
Subtract 16 from both sides:
2 x + (16 - 16) = -16 - 12
16 - 16 = 0:
2 x = -16 - 12
-16 - 12 = -28:
2 x = -28
Divide both sides of 2 x = -28 by 2:
(2 x)/2 = (-28)/2
2/2 = 1:
x = (-28)/2
The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:
Answer: x = -14
(4a³)
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(8a³)
Since the variable and exponent are exactly the same, and you're dividing them, they cancel out.
(4)
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(8)
This can be simplified to 1/2.