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

Approximately 41% of films are rated PG. If 950 films were recently rated, how many films were rated PG.?

Answers

Answer:

about 390

Step-by-step explanation:

you multiply 41% by the 950 and that's what you get

At a sale, scarves are selling at $50.00 are sold at a loss of 60% of selling
price. What is the loss and the original cost?
Answer?

Answers

Answer: $30.00

Step-by-step explanation:

If 100% of 10.00=10.00 / 60% = $6.00

10 x 5 is 50, 6x5 is 30.

So..

60% of $10.00 = $6.00

X5 = $50.00 = $30.00

Can someone help me find the coordinate??

Answers

Answer:

(2,4)

Step-by-step explanation:

Midpoint =

[tex]( \frac{x_1+x_2}{2} \frac{y_1 + y_2}{2} )[/tex]

Endpoint :

[tex]x = \frac{x_1 + x_2}{2} \\ y = \frac{y_1 +y _2}{2} [/tex]

The answer is (2, 4)
Have a nice day

Translate the algebraic expression into a verbal (word) phrase: 2(x + 5)

Answers

Answer:

a number plus five times two

Step-by-step explanation:

a number plus five times two

will mark brainliest
please help me asap on this word problem! explain.

Answers

Answer:

The second one for both a and b.

Step-by-step explanation:

The first cereal box is:

8•3•11=264 inches cubed

the second cereal box is:

10•10•3=300 inches cubed

a. The box that holds more cereal would be the second one, since it has more volume.

b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.

The Valdez family bought a Blu-ray player on sale. The original price was $120. They received a 12% discount. How much did the Valdez family pay for the Blu-ray player after the discount?​

Answers

Answer:

$105.60

Step-by-step explanation:

I think...

take apart the addend to solve 48+23

Answers

Answer:

71

Step-by-step explanation:

just add the problem

4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals

ill put in 50 brainly points

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

The correct equation is,

⇒ y = - x + 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 4 (x - 2 + y) = 4

Now, Simplify the expression as;

⇒ 4 (x - 2 + y) = 4

⇒ x - 2 + y = 4/4

⇒ x - 2 + y = 1

⇒ x + y = 1 + 2

⇒ x + y = 3

⇒ y = - x + 3

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Create and solve a quadratic equation that has 1 real solution

Answers

Answer:

x^2 - 4x + 4 = 0

x = 2

Step-by-step explanation:

(x - 2)(x - 2) = 0

x^2 - 2x - 2x + 4 = 0

x^2 - 4x + 4 = 0

The equation is:

x^2 - 4x + 4 = 0

It is a quadratic equation because of the x^2 term.

Now we solve it by factoring.

x^2 - 4x + 4 = 0

(x - 2)(x - 2) = 0

x - 2 = 0 or x - 2 = 0

x = 2 or x = 2

The only solution is x = 2.

7k + 5 – 2 = 7k + 3 0

Anyone sorry for so many i just need help

Answers

Answer:

K=27

Step-by-step explanation:

the answer is 27

If X is at most 30 find x

Answers

Answer:

x[tex]\leq[/tex]30

Step-by-step explanation:

X can be many possiblities

So we can write it out with a smaller than sign and an equal sign

So now it means that x has to be smaller than 30 or equal to 30

3y + 7 - y = 5 + 2y + 2

Answers

hope this makes sense and that it is correct

final answer is all real numbers
Simplify the initial equation and the rest is basic math, hope this helps!!

An accounting firm has 900 hours of on-the-clock staff time and 100 hours of reviewing time available to assign each week. The firm charges $300 for a tax return and $2000 for a small business audit. A small business audit requires 100 hours of staff time and 10 hours of review time. A tax return requires 12.5 hours of staff time and 2.5 hours of review time. In order to maximize their revenue for the week, how many small business audits and how many tax returns should the firm schedule? What is their maximum revenue for the week?

Constraints:

Objective Formula:

Answers

Answer:

The maximum revenue for the week is $19,000.

Step-by-step explanation:

Denote the variables as follows:

X = small business audit

Y = tax return

The maximizing function is:

Z = 2000·X + 300·Y

The maximizing function is subjected to the constraints:

100·X + 10·Y ≤ 900

10·X + 2·Y ≤ 100

0 ≤ X and 0 ≤ Y

The problem can be solved using the simples method as follows:

Let s and t be slack variables.

Initial:

         x           y         s       t       b                Basic

       100        10        1       0     900               s (departing)

       12.5      2.5        0       1      100                t

Z   -2000    -300     0       0       0

   (entering)

Step 1:

         x           y         s           t       b                Basic

         1          1/10     1/100     0      9               x

         0           1        -1/10      1       10              t (departing)

Z        0        -100       20      0       18000

               (entering)

Step 2:

         x       y         s           t         b                Basic

         1       0       1/50     -1/10      8               x

         0      1       -1/10         1        10              y

Z        0      0       10         100     19000

               (entering)

The optimal solution is:

X = 8

Y = 10

The maximum revenue for the week is $19,000.

Country A is ten to the third power times greater than Country B. Country A has a population of 230,000,000. What is the population Of Country B. Help Pls

Answers

hi! I am confident that the answer is 230,000 because if country A is 10^3 times greater it would have to be 230,000,000 divided by 1,000 since 10^3=1,000. Hope this helps


here is the equation I used: A=10^3+B

Calculate 3cm ,4cm, 10cm and 2cm

Answers

Answer:

19cm

Step-by-step explanation:

(chose one way)

1. way using commutativity

(3cm+4cm)+(10cm+2cm)=7cm+12cm=19cm

2. way just writing

3cm+4cm+10cm+2cm=19cm

Mary loves to read. She reads almost everyday! On Monday, she read for 145 minutes . On Tuesday and Wednesday, she read for 459 minutes. How many minutes total has she read so far this week?

Answers

Answer:

604 minutes

Step-by-step explanation:

145+459=604

One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides.
m (smallest value)
m
m (largest value)

Answers

2x+x+2x-10 = 45

2x+x+2x-10 = 55

5x = 55

X=11

Smallest - 11 m
Largest - 22 m
3rd side - 12 m

A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions

Answers

Answer:

The answer is "0.96562".

Step-by-step explanation:

please find the complete question which is defined in the attached file.

Given value:

[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]

      [tex]= 0.58[/tex]  

[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]

        [tex]= \frac{150}{400}\\\\ = 0.377[/tex]

When:

   [tex]\to P(P>0.375)\\\\[/tex]

[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]

[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]

A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 25 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Which of the following is the value of the appropriate test statistic?A. z = -2.4736B. z = 2.4736C. tdf=−2.4736D. td f=2.4736

Answers

Answer:

A. z = -2.4736

Step-by-step explanation:

n1 = 25

n2 = 25

x1 = 5500

x2 = 5850

Sd1= 550

Sd2 = 445

Null hypothesis

μ1 - μ2 = 0

Alternate

μ1 - μ2 != 0

Pooled variance = ((25-1)*550²)+((25-1)*445²)/25+25-2

= 7260000+4752600/48

= 250262.5

Pooled sd = √250262.5

= 500.26243

Test statistic

Z =

5500-5850+10/500.26243*√1/25+1/25

= -2.47357 approximately

-2.4736

Using the Smith's BBQ Report, liquor sales for both weeks account for approximately what percentage of beverage sales for both weeks?
A 50%
B 40%
C 30%
D 20%

Answers

It’s a because of the beverage percentages

Answer:d

Step-by-step explanation:

What is 0.4 as a decimal

Answers

Answer: 0.40 and 40%

Answer:

40%

Step-by-step explanation:

I need the right answers pls and tysmmm

Answers

Answer:

It's 21, you are correct!!

Step-by-step explanation:

A teacher is decorating her bulletin board. She needs boarder for the board. If the bulletin board has a length of 15 long and a width of 6 feet long
How much boarder does she need for the entire bulletin board?

Answers

Answer:

42

Step-by-step explanation:

When doing perimeter, you add all sides. 15+15+6+6=42

Answer:

1+1=2 2+2=4 4+4=8

Step-by-step explanation:

1+1=2 2+2=4 4+4=8

How many solutions does this equation have? 5 + 2(3 + 2x) = x + 3(x + 1) *

One Solution
Infinite Solutions
No Solutions

Answers

Answer:

no solutions

Step-by-step explanation:

Hi there!

Here is an answer:

[tex]5 + 2(3 + 2x) = x + 3(x + 1)\\11+4x=4x+3\\11=3,\;wrong[/tex]

Hope this helps)

Have a nice day!

Shelton mixed one 1/4 cups of purple cabbage into 3/8 cups of lettuce to make a big salad each day he eats 3/4 of a cup of salad which expression shows how many servings salad Shelton has?

Answers

Answer:[tex](1\frac{1}{4} + 2\frac{3}{8} ) / \frac{3}{4}[/tex]

Step-by-step explanation:

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x=x-5

Answers

Answer:

no solution

Step-by-step explanation:

X cannot equal itself minus 5, in the same way if we replace it by let's say, 6...

6 does not equal 6-5 (1)........ and by the way in this specific equation 6 is just an example it does not matter what you replace it with, x can never = x-5

Hope this helped! Good Luck!

a scientist performs an experiment in which he begins with 45.9 grams of reactants. assuming he does not lose any because of spilling of error, what should be the mass of his product at the end of the reaction?

Answers

Answer:

45.9 grams of product

Step-by-step explanation:

you should never end up with more products or less products than reactants

what is the area of 5in and 1 1/3

Answers

It’s 5.333333333333333

A food truck sells tacos $1.25 a piece. The truck operator earned $360.00 last night.
How many tacos did the food truck sell last night?
28.8 tacos
288 tacos
300 tacos
2.88 tacos

Answers

Answer:

288

Step-by-step explanation:

Each taco is 1.25 dollars and you are trying to figure out how many tacos he sold to do this we make an equation.

Step 1

1.25 x = 360

x =is the amount of tacos sold.

Step 2

1.25 x = 360

/1.25      /1.25

to get x on its own we need to cancel out the 1.25 so we dived because it was multiplied to the x. we did the same on the other side to balance the equation.

Step 3

x = 288

we now need to identify what x is, we can see it is 288. If we trade x for what it means it is then this is your answer  the amount of tacos sold=288

i hope this helps ;)

Find an nth-degree polynomial function
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53

Answers

Answer:

Find an nth-degree polynomial function.

Step-by-step explanation:

n= 3;

- 2 and 6 + 2 i are zeros;

f(-1)= 53

Other Questions
PLZ HELP THIS IS DUE SOON!!!!!!! Divide. Round to the nearest hundredth if necessary.To the nearest hundredth, 80.888.425 is_______ Which set of ordered pairs does not represent a function?Group of answer choices{(6, 0), (-9, 5), (1, -5), (0, 0)}{(4, 6), (6, 8), (3, 2), (-6, 8)}{(-9, -7), (-8, -7), (8, 2), (9, -5)}{(-8, 6), (-8, 5), (-9, 4), (-5, 3)} Fill in the blanks with the correct word can someone please help me what did puritans not believe in In a group discussion, a participant says, Helen Keller would never have learned had it not been for Anne Sullivan. How would you respond to share your viewpoint? Write three sentences. Why do you think some colonist remain neutral Cycle Wholesaling sold merchandise on account, with terms n/60, to Sarahs Cycles on February 1 for $1,200 (cost of goods sold of $700). On February 9, Sarahs Cycles returned to Cycle Wholesaling one-quarter of the merchandise from February 1 (cost of goods returned was $190). Cycle Wholesaling uses a perpetual inventory system, and it allows returns only within 15 days of initial sale. Required: 1. to 3. Prepare the journal entry to record the sales, Goods returned on February 9 and Cash collected on March 2. 4. Calculate the gross profit percentage for the sale to Sarahs Cycles. HURRY I WILL GIVE BRAINLYIST!!!! TO WHO EVER GETS THESE 10 POINTS1)Read the rough draft of a students conclusion to an argumentative editorial.(1) Year-round schooling would help student achievement. (2) Not so much information would have to be crammed into nine months. (3) Furthermore, the elimination of long breaks, particularly summer break, would significantly reduce "learning loss and the additional time wasted at the beginning of each academic year to reteach previously learned material. (4) It is clear that year-round schooling helps students learn and retain more. (5) The United States is not the only country to experiment with a year-round school schedule. (6) Although many still claim that evidence about year-round school and its link to higher achievement is inconclusive, these people need to open their eyes and see that students in these schools consistently score higher on certain assessments than students who attend schools with traditional nine-month calendars. (7) It is about time that we replaced our outdated and inefficient school calendars.Which best revises sentence 6 to create a more appropriate and respectful tone?Although many still claim that evidence about year-round school and its link to higher achievement is inconclusive, studies consistently reveal that year-round students score higher on certain assessments than those students who attend schools with traditional nine-month calendars.Although many still claim that evidence about year-round school and its link to higher achievement is inconclusive, this theory is wrong because students in year-round schools consistently score higher on certain assessments than those students who attend schools with traditional nine-month calendars.Although many still claim that evidence about year-round school and its link to higher achievement is inconclusive, they would admit defeat if only they would do their research and find that students in year-round schools consistently score higher on certain assessments than those students who attend schools with traditional nine-month calendars.Although many still claim that evidence about year-round school and its link to higher achievement is inconclusive, these people need to study their facts and acknowledge that students in year-round schools consistently score higher on certain assessments than those students who attend schools with traditional nine-month calendars.2)Which revision would most improve sentence 7?suggesting an alternative plan to replace the current school calendarexplaining why the current school calendar is outdated and inefficientexpressing an opinion about those who oppose changing the calendarrestating the strongest piece of evidence used to support the claim3) Why should sentence 4 be removed from this conclusion?It criticizes those who disagree with the writer.It strengthens the viewpoint of the opposition.It states a fact that is unrelated to the topic.It unnecessarily restates the editorials claim.4)Which sentence should be removed from the conclusion?sentence 1sentence 3sentence 5sentence 7 10b - 2 = 7b - 7.4 NEED ASAP!!!!!!! A cart has a mass of 35kg and a speed of 1.2m/s. What is its kinetic energy In the number 4,444.444, how does the 4 in the hundredths place compare to the 4 in the place to its left? A dog with mass 14 kg has a kinetic energy of 135.5 J. What is the speedof the dog?A. 2.3 m/sB. 5.1 m/sC. 3.2 m/sD. 4.4 m/s When dealing with perspective, _____ lines are used or implied. What's b/2-14=8 Equal ? 1. The ratio of boys to girls in the 9th grade is 3 to 4. There are 176 girls. Set up a proportion to model this information. which country represents that largest number of immigrants in the U.S. Cuanto es [20+(10-15)+2]-[15+(7-10)(-2+5)] 1 pointWhich of the following describes the most likely location of cholesterol inan animal cell?*Embedded in the plasma membraneDissolved in the cytosolSuspended in the stroma of the chloroplastBound to free ribosomesBased on the diagram, what is the site of modification and packaging ofproteins and lipids prior to export from the cell? Can someone help me please1.Based on all of the information why is referring to the Middle Ages as the dark ages seen as a Eurocentric point of view 2.Why would so many Europeans take up crusading 3.Why would building a cathedral show your devotion to the Catholic Church? 4.What was the Romanesque style of cathedral architecture?5. Why were books considered works of art during the Middle Ages in Europe?