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​

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]

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?

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?

Is 1-12 true or false

What is the value of (2,820 ÷ 8) ÷ 5?

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

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

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

help me on it pls thanks​

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

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

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?

I and m are parallel to each other​

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.

Evaluate the expression 5x4+2x6

PLEASE EXPLAIN HOW TO GET SOLUTION

Which graph does not represent a function?

HELP ASAP This is very hard

Help with question 36 please I need it ASAP

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]

​

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

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.

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?

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

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

125ml= how many cenimeters?

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?

which best describes the triangele

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) .

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​

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

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