What is the value of x in x = inverse of sine (negative one-half)?

Negative StartFraction 2 pi Over 3 EndFraction
Negative StartFraction pi Over 6 EndFraction
StartFraction 2 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction

Answers

Answer 1

Answer:

-pi over 6 or B.

Step-by-step explanation:

I plugged it into desmos and this is what I got

Answer 2

Using the inverse of the sine function, it is found that the value of x is:

[tex]x = -\frac{\pi}{6}[/tex]

What is the inverse sine function?

It is the function described by:

[tex]y = \arcsin{x}[/tex]

And means that sine of y is equals to x, that is:

[tex]x = \sin{y}[/tex]

In this problem, the function is:

[tex]x = \arcsin{-\frac{1}{2}}[/tex]

Which means that we have to solve for x, considering that the sine of x is of -1/2. Hence:

[tex]\sin{x} = -\frac{1}{2}[/tex]

[tex]x = -\frac{\pi}{6}[/tex]

Hence, the value of x is given by:

[tex]x = -\frac{\pi}{6}[/tex]

More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565


Related Questions

Please answer A.S.A.P.!!!!

Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:

50 50; Malcolm needs to consume less than 20 grams of carbohydrates or more than 50 grams of carbohydrates.

B) x > 20 and x 30 and x 60; Malcolm needs to consume less than 30 grams of carbohydrates or more than 60 grams of carbohydrates.

Answers

Answer:

x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.

Step-by-step explanation:

The Walsh family has 4 children. Ryan is 2 years younger than his older brother Patrick. Kelly is 2 years younger than Ryan. Caroline and Kelly are twins. If Patrick is 12, how old is Caroline?

Answers

10 I think SORRY IF I’M WRONG

Answer:

8 years old

Step-by-step explanation:

Pls give brainliest!

I=$24, P=$400, T=2years

Answers

Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation:

Can you please help? I’m tired and I have to work on this

Answers

1. 1/3 2. 1/2 3. 4:1 4. 3:4

Answer:

1) 1/3

2) 1/2

3) 4/1

4) 3/4

5) 2/5, 4/10, 4:10, 4 to 10

6) 3:4, 6/12, 6:12, 6 to 12

7) 3 to 1, 9/3, 9:3, 9 to 3

8) 7/9, 14/18, 14:18, 14 to 18

9)

a) 3/2

b) 3/5

c) 27:18

10) 96 birds visited the feeder

11)

a) nuts row: 3, 6, 9, 12

   raisins row: 4, 8, 12, 16

b) 7.5 cups

12)

a) This ratio means that for every 9 boys in the school there are 10 girls

b) 570 students

Calculate the composite surface area of the figure !!

Answers

hbu think i can get it done today tho i

Please help!! If correct, get brainliest!

Answers

Answer:

a) <DXC and < CXB are complementary angles

b) Supplementary angles

<AXB and <DXB

<AXC and DXC

Step-by-step explanation:

Complementary angles: Two angles are complementary angles if their sum equals 90°

Supplementary angles: Two angles are Supplementary angles if their sum equals 180°

a) Name a pair of complementary angles

So, <DXC and < CXB are complementary angles

b) Name two Supplementary angles pair

<AXB and <DXB (their sum equals 180°)

<AXC and DXC ((their sum equals 180°))

Need help fast!! Mark brainliest

Answers

Alrighty Daniel I think I've figured it out for you. A and B are 55° each, and then C is 70°. Hope I've helped!!

The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price? without using subtraction

Answers

Answer:

$10.2

Step-by-step explanation:

Use this formula:

Price of product after discount = Initial  Price * ( 1 - (discount/100) )

what is the LCM of 9 and 15?

Answers

Answer:

B

Step-by-step explanation:

15+15=30

30/9=3 r3 doesn't work

30+15=45

45/9=5

It’s 45. B. Hope this helped!

can someone give me the correct answer to this problem?

Answers

The answer to this question is x=6

Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?

Answers

103 because you have to add all the numbers up then divide that number by however many numbers there are to get mean.

The jacks and balls have to be spilt among 6 people . Use the distributive property to pull the number 6 out of the expression

Answers

Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)

Is 3x - y = -6 an euation for a graph

Answers

Answer:

no this can't become a number that can be graphed

Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.

Answers

Answer:

The range is 40 and the midrange is 20.

For the given number, the range is 40 and the midrange is 20. Option C is correct.

Given that,
42, 20, 36, 51, 60, 28,

What is the range?

Range, it is the set of values that come out to an outcome for a certain mathematical operation.

Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40

Midrange = 40 / 2 = 20

Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.

learn more about the range here:
https://brainly.com/question/12239390

#SPJ5

Use the diagram of the volcanic island for problems 16-17
16.Use a negative integer to represent the​ depth, in​ feet, of the sea floor.
17.The weight of the volcano depresses the sea floor another 24,300 feet down. What is the total height of the​ volcano?

please help!!

Answers

Answer:

28,000 Ft

Step-by-step explanation:

Answer: 16 is -15700  and 17 28,000

Step-by-step explanation:

Find the distance between 5 + 4i and 9 + 3i.​

Answers

Answer:

Distance = √17

Step-by-step explanation:

We are looking for the distance between 5 + 4i and 9 + 3i.

This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)

Distance between the 2 points will be;

D = √[(5 - 9)² + (4 - 3)²]

D = √(16 + 1)

D = √17

What is 2 + 2 + 3 x 4 - 1 x 10 - 6. First on the answer gets brainlist;)

Answers

Answer: 19

Step-by-step explanation:

find the height of the triangle in which A=192 cm^2

Answers

Step-by-step explanation:

one second 12345678910

please help
Greater than
Less than
or Equal to

Answers

I think equally tooo

The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.

Answers

Answer:

The population at the beginning of 2016 is 55,326.

Step-by-step explanation:

Giving the following information:

Population 2010 (PV)= 42,000

Growth rate (g)= 4.7% = 0.047

Number of years (n)= 6 years

To calculate the population at the beginning of 2016, we need to use the following formula:

FV= PV*(1+g)^n

FV= 42,000*(1.047^6)

FV= 55,326

The population at the beginning of 2016 is 55,326.

1
Triangle ABC can be taken to triangle A'B'C'using rigid motions and a dilation,

Select all the equations that are true,

Answers

Answer:

1st, 4th and 5th equations

Step-by-step explanation:

Correct ratios as per diagram are:

1st, 4th and 5th equations

2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.

Answer:

mine is in different order

Step-by-step explanation:

If n is an integer and n×10 is a negative number, which of the following statements must be true?

n 0
n = 0
None of the above.

Answers

Answer:

N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.

Step-by-step explanation:

Hope this helped!

8. Iwo towns are 3.5 inches apart on a map. The scale of the map is 1 inch = 24 miles. How many miles apart are the two towns? 60 miles 72 miles 84 miles 96 miles​

Answers

The answer is 3.5 over 60 miles east of the stack

of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation

Answers

Answer:

3.625

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

“To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean” you are basically adding all the numbers together and dividing by the amount of numbers there

Hope this helped

Alana is purchasing a $160,000 home and her bank is offering her a 30-year

mortgage at a 4.9% interest rate. In order to lower her monthly payment,

Alana will make a 20% down payment and is considering a purchase of 3

points. How much lower will her monthly payment be if she purchases the

points?

Answers

Answer:

The amount by which her monthly payment will be lower if she purchases the points is $57.12.

Step-by-step explanation:

Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:

Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000

The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:

Step 1: Calculation of monthly payment without purchasing 3 points

The monthly payment can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = monthly payment without purchasing 3 points = ?

A = Mortgage loan balance = $128,000

r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (1), we have:

P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)

P = $679.33

Step 2: Calculation of monthly payment if she purchases 3 points

Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:

New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%

The monthly payment can also be calculated using the formula for calculating loan amortization as follows:

P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)

Where,

P3 = monthly payment if 3 points is purchased = ?

A = Mortgage loan balance = $128,000

r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (2), we have:

P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)

P3 = $622.21

Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points

This can be calculated as follows:

Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12

Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.

Answer:

28.87

Step-by-step explanation:

i just did the quiz

Which correctly describes how the graph of the inequality -5x+3y>9

Answers

What’s are the answer choices??

Marcos delivers newspapers during his summer break. He delivers a different number of papers each day. What percent of the total number of newspapers is delivered on Saturday and Sunday?
A.
52.5%
B.
105%
C.
40%
D.
32.5%

Answers

Answer:

52.2% or A

Step-by-step explanation:

55+50 = 105

105/200 = 0.525

0.525 x 100 (to get the percent) = 52.5%

Answer:

52.5%

Step-by-step explanation:

Add together the number of papers delivered on Saturday and Sunday. Then divide that by the total number of papers delivered.

55+50 = 105

105/200=52.5%

Pluto has an average distance from the sun of 3.6 x 10^8 miles venus has an average distance from the sun of 9.0 x 10^6. How many times greater is pluto's average distance from the sun than venus?

Answers

Answer:

40 times greater

Step-by-step explanation:

Given the following:

Pluto average distance from the sun Ps =  3.6 x 10^8 miles

venus average distance from the sun Vs = 9.0 x 10^6miles

Take the ratio:

Ps/Vs = 3.6 x 10^8/9.0 x 10^6

Ps/Vs = 0.4*10^{8-6}

Ps/Vs = 0.4*10²

Ps/Vs = 40

Ps = 40Vs

Hence the pluto's average distance from the sun is 40 times greater than that of venus

11. $1.44 for 12 pencils

Answers

Answer:12 cents per pencil

Step-by-step explanation:

1.44/12

12 cents each
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Find the distance between the points (6,7) and ( – 3, – 5)

Answers

Answer:

(9,12)

Step-by-step explanation:

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