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
kenny6666 [7]
10 months ago
15

The terminal side of an < θ intersects the Unit Circle at point P=(5/6, -√11/6)

Mathematics
1 answer:
arlik [135]10 months ago
8 0

Given that the terminal side of an <θ intersects the unit circle at the point

P(\frac{5}{6},\frac{-\sqrt[]{11}}{6})

From the given point P:

\begin{gathered} x=\frac{5}{6} \\ y=\frac{-\sqrt[]{11}}{6} \\ \text{ s}ince,\text{ x is positive and y is negative, the angle lies in the 4th quadrant} \end{gathered}\begin{gathered} \tan \theta=\frac{\text{ opposite}}{\text{Adjacent}}=\frac{y}{x} \\ \tan \theta=\frac{\frac{-\sqrt[]{11}}{6}}{\frac{5}{6}}=\frac{-\sqrt[]{11}}{5} \\ \tan \theta=-0.6633 \\ \theta=326.44^0 \end{gathered}

You might be interested in
What will happen if Pinocchio says "my nose will grow now" ??
Anna [14]
Maybe he lies under his breath right after saying that, then his nose will grow. 
5 0
2 years ago
A tablet contains 0.5 mg of medication. A patient receives 5 tablets a day. How many mg patient receive per day?
Sindrei [870]

Answer:

2.5 mg

Step-by-step explanation:

.5 x 5 = 2.5

4 0
2 years ago
A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic flaws and must be classified as
Alex73 [517]

Answer:

0.3891 = 38.91% probability that only one is a second

Step-by-step explanation:

For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17% of its goblets have cosmetic flaws and must be classified as "seconds."

This means that p = 0.17

Among seven randomly selected goblets, how likely is it that only one is a second

This is P(X = 1) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{7,1}.(0.17)^{1}.(0.83)^{6} = 0.3891

0.3891 = 38.91% probability that only one is a second

7 0
3 years ago
Find the volume of each sphere. Round to the nearest tenth.
g100num [7]

Answer:

d. 463246.7

Step-by-step explanation:

V=4 /3πr^3=4/3·π·48^3≈463246.7

5 0
3 years ago
Find the value of x in each of the following
skelet666 [1.2K]
A) 2x-7=13
2x=20
x=10

B) 3x+4=25
3x=21
x=7
6 0
3 years ago
Other questions:
  • Solve kx -2 = 7 for x
    6·1 answer
  • superman can fly at a rate of 60 miles per 4 minutes. At this rate, how long will it take superman to go from metropolis to goth
    10·1 answer
  • I am sorry people with the dum questions but i am blonde stupid so plz help me with this
    12·2 answers
  • Lena tried to solve a system of linear equations algebraically and the process found the equation 5=9. Lena thought something wa
    12·1 answer
  • Linear functions m and p are shown
    13·1 answer
  • Find the difference. (k2−7k+2)−(k2−12)
    5·1 answer
  • An electrician charges $50 for the first hour and $5.50 for each additional hour. Write an equation to represent the amount the
    13·1 answer
  • Equation or expression ​
    6·2 answers
  • Find the Value of X<br><br> (please don't just give me a fake answer)
    8·1 answer
  • At the luau, a vender was selling 5 leis for $25. what is the unit price?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!