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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We are tasked to determine the natural logarithm when x = 0.6.
x = 0.6, applying natural logarithm on both sides, we have it:
ln x = ln 0.6 using a scientific calculator, enter ln 0.6 and then this would give an answer of -0.5108256238
As per instruction, we are required to round the answer to the nearest hundredth such as the final answer is -0.51.
The answer is the letter "B".
Answer:
The dime hits the ground after 8 sec.
Step-by-step explanation:
Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:
16t^2 = 1,024 ft, or:
t^2 = 64 ft^2
Then t = +8 sec
The dime hits the ground after 8 sec.
Answer:
<em>x = 7</em>
Step-by-step explanation:
Simplifying
17 = 3X + -4
Reorder the terms:
17 = -4 + 3X
Solving
17 = -4 + 3X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-3X' to each side of the equation.
17 + -3X = -4 + 3X + -3X
Combine like terms: 3X + -3X = 0
17 + -3X = -4 + 0
17 + -3X = -4
Add '-17' to each side of the equation.
17 + -17 + -3X = -4 + -17
Combine like terms: 17 + -17 = 0
0 + -3X = -4 + -17
-3X = -4 + -17
Combine like terms: -4 + -17 = -21
-3X = -21
Divide each side by '-3'.
X = 7
Simplifying
X = 7
