Find the exact value of s in the given interval that has the given circular function value.
[pi/2, pi] ; sin s = square root 2 / 2​

Answers

Answer 1

Answer:

[tex]\displaystyle s=\frac{3\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Values

We need to find the angle s in the interval [π/2,π] where:

[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]

There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.

The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:

[tex]\displaystyle s=\frac{\pi }{4}[/tex]

The other angle is its supplementary angle:

[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]

Only this last angle lies on the required interval, thus:

[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]


Related Questions

A study reported that about half of young adults continue to text and drive, despite the dangers. To find out if this
applies to teens, you asked an SRS of 30 classmates if they texted while driving, and 13 responded "Yes."
To see if this result is surprising, you need to conduct a simulation to estimate the probability of obtaining a sample
result as low as yours.
Using the following line of random numbers, where even = Yes and odd = No, how many "Yes" responses are there if
this is the first trial of your simulation? Note: O is considered an even number.
71487 09984 29077 14863 61683 47052 62224 51025
0 11
0 14
16
0 19

Answers

Answer:16

Step-by-step explanation:

I just took this test on edgueinity

Answer:

b

Step-by-step explanation:

Ava 2022

What is the value of (2,820 ÷ 8) ÷ 5?

Answers

141/2
70.5
70 1/2
All are correct
Pls mark brainliest

In an aquarium, there are 6 large fish and 8 small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction.

Answers

Answer:

Step-by-step explanation:

j fnrbr

Answer:

4/14

Step-by-step explanation:

1/2 of the small fish(8)are red so 4 small red fish out of 8 small fish, then you add the big fish to the denominator(bottom of fraction) and you get 4/14

HELP ASAP This is very hard

Answers

Answer:

- 11/5

decimal : -2.2

mixed number -2. 1/5

the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?

Answers

Answer: 28 in.

Step-by-step explanation:

The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.

P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.

Answer:

B

Step-by-step explanation:

edge 2021

Is 1-12 true or false

Answers

Answer:Is the 1+2+3+4+… = -1/12 proof done by Numberphile correct?

What is the sum of all natural numbers?

What are practical applications of the fact that  1+2+3+4+5+…=−112 ?

What's the intuition behind the equation  1+2+3+⋯=−112 ?

Step-by-step explanation: I THINK IT IS RIGHT HOPE IT HELPS

Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or vice versa). Because of this, the computer sending a message repeats each bit three times, so a 0 is sent as 000 and a 1 as 111. The receiving computer "decodes" each triplet by majority rule: whichever number, 0 or 1, appears more often in a triplet is declared to be the intended bit. For example, both 000 and 100 are decoded as 0, while 101 and 011 are decoded as 1. Suppose that 6% of bits are switched (0 to 1, or 1 to 0) during transmission between two particular computers, and that these errors occur independently during transmission.(a) Find the probability that a triplet is decoded incorrectly by the receiving computer.(b) Using your answer to part (a), explain how using triplets reduces communication errors.(c) How does your answer to part (a) change if each bit is repeated five times (instead of three)?(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Answers

Answer:

(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010

(b)

(1 – p) = 0.010

(c)

E(x) = 25000 x 0.010

     = 259.2

Explanation has given below.

Step-by-step explanation:

Solution:

(a) Probability that a triplet is decoded.

2 out of three

P = 0.94, n = 3

m= no of correct bits

m   bit (3, 0.94)

At p(m≤1) = B (1; 3, 0.94)

 = 0.010

(b) Using your answer to part (a),

(1 – p) = 0.010

Error for 1 bit transmission error.

(c)  How does your answer to part (a) change if each bit is repeated five times (instead of three?

P( m ≤ 2 )

L = Bit (5, 0.94)

   = B (2; 5, 0.94)

   = 0.002

(d)  Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Given:

h = 25000

Bits are switched during transmission between two computers = 6% = 0.06

m = Bit (25000, 0.06)

E(m) = np

        = 25000 x 0.06

         = 1500

m = Bit (25000, 0.01)

E(m) = 25000 x 0.010

     = 259.2

3+ a equals 17 when a equals four is this given value a solution of the equation or an quality?

Answers

mnbvcxAnswer:

Step-by-step explanation:dfghjmjnhgf


1. Jen went scuba diving. She makes the first stop on her descent at 45 meters below the
surface of the water. From that point she dives down further, stopping every 10 meters. If
she makes 3 additional stops, at what depth will she be?

Answers

15 meters because 45 - (10 +10 + 10)
I think it’s 75 because 45 + (10*3)=75

A parking garage charges $8 for the first two hours and $1.75 for each additional hour. The function for the cost of parking in the garage for 2 hours or more is f(x) = 8 + 1.75(x – 2) , where x is the number of total hours parked in the garage. Find and interpret f(7) .

Answers

Answer:

I believe it would be 16.75 but ik not completely sure

The meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the function for the cost of parking in the garage for 2 hours or more is f(x)=8+1.75(x–2), where x is the number of total hours parked in the garage.

Now, the meaning of f(7) is that a vehicle is parked for 7 hours in the parking garage. And its value can be found by substituting the value of x as 7 in the given function,

f(x) = 8 + 1.75(x – 2)

f(7) = 8 + 1.75(7 – 2)

     = 8 + 1.75(5)

     = 8 + 8.75

     = 16.75

Hence, the meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

jana is a graphic designer. She created a poster for her friend’s movie on an 8.5 inches by 11 inches sheet of paper. Her friend’s movie has gotten a lot of publicity, and they want to put Jana’s poster on a billboard that is 12 feet wide and 16 feet high. How can they blow up the poster as much as possible while maintaining the ratio of the sides? a) Determine the length and width of the largest possible poster. b) What is the scale?

Answers

This question is of which class

Which equation has the correct sign on the product?
O A. (-11)9 = 99
B. (-12)(-12) = 144
C. 25(-5) = 125
D. 17.3 = -51

Answers

C. 25(-5) = 125 this is the answer

Answer:

B. (-12)(-12)=144 Hope that helps

Step-by-step explanation:

Josh wants to determine the number of loaves of bread he can bake using 13 1/3 cups of flour he has. If each loaf requires 3 4/5 cups of flour, how many loaves can josh bake?

Answers

Answer:

4 loaves of bread.....

Sorry if i get it wrong i really tried :(

If it get it right comment down below please! I really want to know!

Which graph does not represent a function?

Answers

Answer:

C

Step-by-step explanation:

c is my answer to your question

Use the system of equations and graphs below to complete the sentence.

Answers

Answer:

id say graph d solve it out and thats the only thing i got close to

Step-by-step explanation:

Answer:

it's the one in the top right(graph B), the soultion to graph b is (3,-1)

Step-by-step explanation:

Like the other answer says you solve it out, then you look at the intercepts and use the prosses of elimanation.

the top equation is: y= -1/2x -2.5

the bottom equation is: y= -1/5x -0.4

The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.

Required:
State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.

Answers

Answer:

H₀: μ = 550 vs. Hₐ: μ < 550.

Step-by-step explanation:

A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.

The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.

A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.

The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:

H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.

Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.

I and m are parallel to each other​

Answers

And what I need more information to answer your question.
huh? i don't understand what u mean

which best describes the triangele

Answers

Answer:

3 sided closed shape

Step-by-step explanation:

WHO KNOWS HOW TO DO solving literal equations please help I'll put you on brain list
1. [tex]nx + y = 3f[/tex]

2. [tex] \frac{x}{2} - h = 3n[/tex]

3. [tex]px + qx = w[/tex]

4. [tex]5h \: \frac{x - 3}{w} [/tex]

5. [tex]c = \frac{ax}{x + b} [/tex]

6. [tex] \frac{2}{x} + \frac{n}{y} = 3[/tex]

Answers

Answer:

are u an bts army ?????????? can u pls comment me

125ml= how many cenimeters?

Answers

Answer:

150

Step-by-step explanation:

multiply the volume by 1

Answer:

12,500 cm

Step-by-step explanation:

ml × 100 = cm125 × 100 = 12,500

I hope this helps!

A line passes through -1,-1and .-3,5

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=-3x - 4

Step-by-step explanation:

y2 -y1 = 5- -1 =-4

x2 -x1=-3 - -1=-2

slope is -3

help me on it pls thanks​

Answers

5*1,000=5,000
5,000/400=12.5
12.5 would be your answer but you can’t have half of a water station, so in between 12 & 13 . hope this helped a little bit

if the slope of ac 6 what is the slope of bc

Answers

Answer:
Slope of BC=-1/6

Explanation:
What we know:
- the slope of AC is 6
- BC is perpendicular to AC

We know what BC is perpendicular to AC because they meet at a right angle.

To solve this question, we must understand that the slope of a second line perpendicular to the first is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

For example, the slope of line A=8. The slope of the line perpendicular to line A would be -1/8.

Another example: the slope of line B=-6/7. The slope of a line perpendicular to line B would be 7/6. Remember, two negatives make a positive.

And that brings us back to line BC. Because the slope of line AC is 6, the slope of line BC would be -1/6.

I hope this helps! Please comment if you have any questions.

Help with question 36 please I need it ASAP

Answers

Answer:

13 hours, 33 minutes, 20 seconds

Step-by-step explanation:

The swimming pool will hold 1.22 million cubic inches of water, and if it fills up at 1500 cubic inches per minute, it will take 813 minutes and 20 seconds to fill the pool, which means that in simplest form, that will be 13 hours, 33 minutes, and 20 seconds.

Hopefully the answer and explanation helps!

Scott is running for office. Of the 18,000 votes cast in the election for this office, 55% were for Scott. How many votes were cast for the other candidates? O A. 810 O B. 990 O C. 8,100 D. 9,900​

Answers

Answer:

C

multiply 55% and 18,000

then subtract what u got with 18000

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

you have three 1 dollar bills and 2 10 dollar bills in your wallet. you select a bill at random

Answers

Answer:

you are more likely to get a 10 dollar bill

Step-by-step explanation:

Evaluate the expression 5x4+2x6

Answers

Answer:

The answer to this is: 132

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Hope this helps!!

Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants annually. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 12 households in the region led by people ages 25 to 34 and 12 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,851 in restaurants during the previous 12 months. Calculate the z-score for the household that spent $1,851 for each group. Use a TI-83, TI-83 plus, and TI-84 calculator.
Round your answers to two decimal places.
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158

Answers

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34              45 to 54

  1329                    2268

  1906                    1965

 2426                     1149

  1826                     1591

  1239                    1682

   1514                     1851

  1937                     1367

  1454                    2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01[/tex]

Compute the z-score for the group "25 to 34" as follows:

[tex]z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37[/tex]

Compute the mean and standard deviation for the group "45 to 54" as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39[/tex]

Compute the z-score for the group "45 to 54" as follows:

[tex]z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25[/tex]

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Skyler solved an equation incorrectly, as shown below:

Step 1: 12 + x = 36
Step 2: x = 36 + 12
Step 3: x = 24

Which statement best explains why Step 2 is incorrect in Skyler's solution?

Answers

Answer:

Step 2 is incorrect.

Step-by-step explanation:

It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.

PLEASE EXPLAIN HOW TO GET SOLUTION

Answers

Answer:

(3p^5)/2

Step-by-step explanation:

= (24p^10)/(16p^5)

= (3p^5)/2

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