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Aleonysh [2.5K]
1 year ago
14

Determine the point (x,y) ( x , y ) on the unit circle associated with the following real number s. Write the exact answer as an

ordered pair. Do not round. s=−11π6
Mathematics
1 answer:
Harlamova29_29 [7]1 year ago
7 0

The required coordinates of the unit circle for s = -11π/6 is (√3/2, 1/2). Using trigonometric functions, the required answer is calculated.

<h3>What are the trigonometric functions?</h3>

There are six trigonometric functions.

They are sin θ, cos θ, tan θ, sec θ, cosec θ, and cot θ.

Where θ - 0 to 360° or 0 to 2π

<h3>Calculation:</h3>

For a unit circle, the coordinates are given in the form of trigonometric functions as below:

x = cos θ and y = sin θ

Here it is given that s = θ = -11π/6

So, on substituting,

x = cos θ = cos (-11π/6)

⇒ x = √3/2

y = sin θ = sin (-11π/6)

⇒ y = 1/2

Thus, the required coordinate pair is (√3/2, 1/2).

Learn more about trigonometric functions here:

brainly.com/question/2291993

#SPJ1

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Digiron [165]

Answer:

volume=hpir^2

d/2=r, 24/2=12=r

h=40

v=40pi12²

v=40pi144

v=5760pi cubic inches per section

Step-by-step explanation:

7 0
3 years ago
The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 15 minute
madam [21]

Answer:

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

For this problem, we have that:

Uniformly distributed between 3 minutes and 15 minutes:

So a = 3, b = 15

What is the probability that it takes Isabella more than 11 minutes to wait for the bus?

Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So

P(X \leq 11) + P(X > 11) = 1

We want P(X > 11). So

P(X > 11) = 1 - P(X \leq 11) = 1 - \frac{11 - 3}{15 - 3} = 0.3333

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

4 0
3 years ago
Original price: $150; Markdown:40%(show work please)
zepelin [54]
Original price is $150 so you times 150 by 0.40
150 x 0.40 = 60
So you take the $150 and you subtract $60 from $150
150 - 60 = 90
So the answer is $90
8 0
3 years ago
Kalesha is purchasing a laptop. The original price of the laptop is $900. The store is offering 10% off on all computers. Kalesh
Semmy [17]
I believe the answer is $710
7 0
3 years ago
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Find the y-intercept of the following equation. Simplify your answer.<br> y = -10x -3/7
77julia77 [94]

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.

7 0
3 years ago
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