in the accompanying diagram of the unit circle, the ordered pair _ represents the point where the terminal side of 0 intersection in the unit circle
Answers
The ordered pair of a unit circle is represented as:
[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]
The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240
The given parameter can be represented as:
[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]
This means that:
[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]
[tex]\cos(\theta) = -\frac{1}{2}[/tex]
Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]
So, we have:
[tex]\theta = 180 + \alpha[/tex]
Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]
The equation becomes
[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]
Apply cosine formula
[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]
[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]
[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]
Divide both sides by -1
[tex]\cos(\alpha)= \frac{1}{2}[/tex]
Take arccos of both sides
[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]
[tex]\alpha= \cos^{-1}(0.5)[/tex]
[tex]\alpha= 60[/tex]
Recall that:
[tex]\theta = 180 + \alpha[/tex]
[tex]\theta = 180 +60[/tex]
[tex]\theta = 240[/tex]
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Related Questions
Am I correct?? If not please correct me
Answers
F(x)=3x^2+4x
G(x)=2x^2-x+1
The two x^2 items are both positive and are added together to be 5x^2
The two x items would be added together to get 3x cause of the -x
Then +1 is just +1
Making the equation 5x^2+3x+1
If we were subtracting you would be absolutely correct, but since we are adding would go the opposite direction.
I hope this helps!
Answer: 5x^2+3x+1
Step-by-step explanation:
Solving for (f+g)(x) add both functions so
(3x^2+4x)+(2x^2-x+1)
Add like terms
3x^2+2x^2=5x^2
4x+-x=3x
+1
Add terms
5x^2+3x+1
Solve each of the following equations
Answers
Solve for x. 5:1::6:x
Answers
Answer:
Step-by-step explanation:
5/1 = 6/x
5x = 6
x= 6/5
Answer:
x
=
15
Step-by-step explanation:
Please! No one got the right answer here and i need it
In their last game, the New England
Patriots scored 9 points in the first half. In
the second half, they scored twice the
amount of points in the first half. What is
the ratio of points scored in the second half
to the total number of points scored?
Answers
Answer:
3:5
Step-by-step explanation.
The first half: 9
The second half is: 15
9:15 =3:5
A university has 40,110 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages. The expected number of students at the university who speak three or more languages is .
Answers
191 x 14 = 2674
2674 people can speak three or more languages
helpppppppppppppppppppppppppp
Answers
Answer:Hmm okay its C because i had that before
Step-by-step explanation:
if its wrong then i dont know because my brother told me
help answer both plz!
Answers
Answer:
3.6666 (I didn't round)
Repeating decimal
Step-by-step explanation:
We know that
2/3
is the same as
2÷3
Therefore:
3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666
A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.
A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.
Hope this helped.
Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:
Year Annual Tutoring Fee
2005 $1200
2008 $1350
A. What is the rate of change and initial value for Neil’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.
Answers
Answer:
The answer is 2550
Step-by-step explanation:
Add 1200 and 1350 it'll give you 2550
Answer:
250
2550
Step-by-step explanation:
sorry if wrong but I think
A=250
B=2550
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
Answers
plsss help i’ll give brainliest if you give a correct answer
Answers
Answer:
it a
Step-by-step explanation:
Answer:
A (7)
Step-by-step explanation:
9w = 63
9 x 7 is 63,
9 x 6 = 54,
9 x 8 = 72,
9 x 9 = 81,
Order the side from greatest to least.
Η.
28°
118°
K
J
side [Select ]
Answers
Answer:
HJ>KJ>HK
Step-by-step explanation:
Side opposite to the largest angle is the largest.
Side opposite to smallest angle is the smallest.
ang K = 118° ang J = 28°
ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)
118°+28°+angH=180° (Putting the values of ang K & ang J)
146°+angH=180°
ang H=180°-146°
ang H=34°
128°>34°>28°
ang K>ang H>ang J
Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.
Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.
Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.
HJ>KJ>HK.
I -9I = ____
HELP HELP ME ME ASAP PLEASE
Answers
Answer:
9
Step-by-step explanation:
l l means absolute value
the absolute value of any negative number is the same number but positive
so the absolute value of -9 is positive 9
Answer:
9
Step-by-step explanation:
Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9
I need help with this as fast as possible thanks bye
Answers
Answer:
153.9
Step-by-step explanation:
You use the formula πr^2 for the area, where r is the radius of the circle which is equal to half the diameter
Help
I neeed to get this question right
Answers
Answer:
6/10 is greater than 6/100
Step-by-step explanation:
6/10 = 3/5
6/100 = 3/50
3 fifties is lot more than 3 with 5 parts
hope it makes sense
I don't know what this is.
Answers
What is 1.5•10^4•3•10^ 2?
Answers
Enter the value for that makes the given equation true.
20−5(6+4)=4−6
Answers
Answer:
hi, there is no variable
If y lies on a number line , and x is added to y , which of the following would be true about the location of y + x?
Answers
Answer:
Step-by-step explanation:
If x is a positive number then y + x lies to the right of y, if x is a negative number then the location of y + x will be to the left, if x is zero then y and y + x are the same point
in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51
Answers
Your answer is:
C) 53
THANK YOU!!
∝ Sidhdi
The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).
Use your understanding of simultaneous equations to determine the unknown
dimensions.
Find the area of the rectangle.
Answers
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2
Answer this question to get marked as brainliest!!!
Answers
Math
2 miles is the equivalent to how many feet?
Answers
Answer:
10,560
Step-by-step explanation:
Super easy
Brainliest please :)
Which characteristics best describe an acute isosceles triangle
Answers
Answer:
answer is A i and iv
two sides meet at 90°
two sides are equal in lenght
Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:
Answers
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?
Answers
Answer:
Wednesday
Step-by-step explanation:
Friday is the day before the day before yesterday
Saturday is the day before yesterday
Sunday is yesterday
Monday is today
Tuesday is tomorrow
Wednesday is the day after tomorrow
Answer:
i cant seem to find ur anwser it seems confusing
Step-by-step explanation:
it is confusing
Which expression shows the total area of 5 rooms, if the
sides of 3 rooms measure 17 feet each, and the sides of
2 rooms measure 15 feet each?
Answers
Answer:
3084 sq. ft
Step-by-step explanation:
for the first three rooms,
area= 6l² = 6× 17² = 1734
for the next two rooms,
area= 6l² = 6×15² = 1350
total area = 3084
What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100
Answers
Weißt du Deutsch, ich kann vielleicht helfen
Please help! I need this as soon as possible!
Answers
Answer:
1. 136°
2. 36°
3. 136°
4. 36°
5. 136°
6. 36°
7. 136°
8. 44°
Step-by-step explanation:
i don't know english very well so i don't knoe what transplant is but i think i got it right with my logic
Answer:
m∠1 = 136°
m∠2 = 44°
m∠3 = 136°
m∠4 = 44°
m∠5 = 136°
m∠6 = 44°
m∠7 = 136°
Step-by-step explanation:
Corresponding angles, like m∠1 and m∠5, need to equal each other.
m∠1 and m∠3 are the same
m∠3 and m∠2 need to be added together to equal 180
What is the volume of a hemisphere with a radius of 2.6 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:
36.81
Step-by-step explanation:
V= (2/3)pir
Answer:
36.8 m^3
Step-by-step explanation:
A cylindrical well has a radius of 10 feet and a height of 15 feet. What
volume of water will it take to fill in the well?
Answers
Answer:
Look below.
Step-by-step explanation:
We can use the information provided to plug it into a...
Fomula to find a volume of a cylinder:
V=πr^2h
V=π(10)^2(15)
V≈4712.39ft
