1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inga [223]
3 years ago
6

The angle measures associated with which set of ordered pairs share the same reference angle? (Negative StartFraction StartRoot

3 EndRoot Over 2 EndFraction , negative one-half), (negative one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction) (one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half) (Negative one-half, negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (One-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction) (StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half), (one-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Mathematics
2 answers:
Katarina [22]3 years ago
5 0

Answer:

(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

SashulF [63]3 years ago
4 0

Answer:

C

Step-by-step explanation:

You might be interested in
**WARNING** IF YOU ANSWER THIS QUESTION INCORRECTLY OR TRY TO ANSWER WITH FOOLISHNESS YOU WILL GET REPORTED
frozen [14]

The solution is attached as a word file.

Download doc
3 0
3 years ago
Which is greater, 73 percent of 87, or 87 percent of 73?
Drupady [299]
87% of 73 is about 63.51 and 73% of 87 is 60.59 so 87% of 73 is greater
4 0
3 years ago
Read 2 more answers
Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0
3 years ago
Step by step directions Square root for 480
m_a_m_a [10]
<span>  <span>first off your answer is 21.90 and the step by step i  wrote it for you:) Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. </span> The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.   </span>                                                                                                                                                                          <span>Many mathematical operations have an inverse, or opposite, operation. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Squaring, which we learned about in a previous lesson (exponents), has an inverse too, called "finding the square root." Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … </span> The square root of a number, n, written <span> is the number that gives n when multiplied by itself. For example,</span> <span>because 10 x 10 = 100</span> Examples Here are the square roots of all the perfect squares from 1 to 100. Finding square roots of of numbers that aren't perfect squares without a calculator 1. Estimate - first, get as close as you can by finding two perfect square roots your number is between. 2. Divide - divide your number by one of those square roots.
3. Average - take the average of the result of step 2 and the root. <span>4. Use the result of step 3 to repeat steps 2 and 3 until you have a number that is accurate enough for you.
</span> Example: Calculate the square root of 10 () to 2 decimal places. <span>1. Find the two perfect square numbers it lies between.
</span> <span><span>Solution:
</span><span>32 = 9 and 42 = 16, so lies between 3 and 4.</span></span> <span>2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)</span> <span>3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667</span> <span>Repeat step 2: 10/3.1667 = 3.1579</span><span>Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span> Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001 If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3. <span>Note: There are a number of ways to calculate square roots without a calculator. This is only one of them.</span>         <span><span>
</span> </span>
<span>  <span />Example: Calculate the square root of 10 () to 2 decimal places. <span>1. Find the two perfect square numbers it lies between.
</span> <span><span>Solution:
</span><span>32 = 9 and 42 = 16, so lies between 3 and 4.</span></span> <span>2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)</span> <span>3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667</span> <span>Repeat step 2: 10/3.1667 = 3.1579
Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span> <span>Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001</span> If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3.                             </span> <span> <span><span> <span>   </span></span></span></span>
6 0
3 years ago
A rectangular photograph has an area of 65 square inches. If the length of the photo is 3 inches less than twice it's height, fi
tankabanditka [31]
A = L * H
A = 65
L = 2H - 3

65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0

-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches

H + 5 = 0
H = -5....this wont work because it is negative

L = 2H - 3
L = 2(6.5) - 3
L = 13 - 3
L = 10 <== length is 10 inches


4 0
3 years ago
Other questions:
  • HELP PLEASE 50 POINTS
    7·2 answers
  • David bought a 20 ounce bottle of soda. How many quarts of soda are in the bottle?
    13·1 answer
  • What is the answer to 36/(9-4)??
    15·2 answers
  • What are the underfinable term in geometry
    14·2 answers
  • A rope is cut into three pieces of different lengths. The first piece is of length x meters, The length of the second piece is 2
    15·1 answer
  • If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
    7·1 answer
  • Help me fast!!!! :)<br><br><br> Answer my other questions plz
    10·1 answer
  • Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games. (More Than 1 Answer)
    12·1 answer
  • The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How ol
    14·2 answers
  • A business executive bought 40 stamps for
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!