find two solutions of each equation. give your answers in radians (0 ≤ theta ≤ 2????). do not use a calculator. (enter your answers as comma-separated lists.)

Answers

Answer 1

The two solutions of the equation sin(theta) = 0.5 within the range of 0 to 2pi radians are approximately 0.524 radians and 6.166 radians.

To find two solutions of an equation, we need to solve the equation for the given range of theta. Since the question specifies that theta should be in radians and between 0 and 2pi, we will find two solutions within this range.
Let's consider an example equation to demonstrate the steps. Suppose we have the equation:
sin(theta) = 0.5
1: Identify the equation and the trigonometric function involved. In this case, the equation is sin(theta) = 0.5, and the trigonometric function is sine.


2: Solve for theta algebraically. To solve the equation, we need to find the values of theta that make the equation true. In this example, we can use the inverse sine function (also known as arcsin) to solve for theta. Applying the inverse sine function to both sides of the equation, we get:
theta = arcsin(0.5)


3: Calculate the value of theta using the inverse sine function. The inverse sine function gives us the angle whose sine is equal to 0.5. In this example, the inverse sine of 0.5 is approximately 0.524 radians (or 30 degrees).


4: Find a second solution within the given range. To find a second solution, we can add the period of the sine function to the first solution. The period of the sine function is 2pi radians. Adding 2pi to the first solution, we get:
theta = 0.524 + 2pi
Simplifying, we find that the second solution is approximately 6.166 radians (or 354 degrees).


Therefore, the two solutions of the equation sin(theta) = 0.5, within the range of 0 to 2pi radians, are approximately 0.524 radians (or 30 degrees) and 6.166 radians (or 354 degrees).

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Related Questions

The frequency of occurrence of something within a specifically defined area is the.

Answers

The frequency of a phenomenon in a given study area is known as density.

Mass per unit volume is the definition of a material's density. Density, or mass per unit volume, is defined as the ratio of mass to volume. It gauges how much "stuff" an object contains in relation to its volume (cubic meter or cubic centimeter).

A measurement of density contrasts the mass of an object with its volume. High density refers to the amount of matter in a given volume of an object. A low density is an object with little substance in the same volume.

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what is 50 divided by 1

Answers

50 divided by 1 would be 50.

You work 4 hours on Saturday and 7 hours on Sunday. You also receive a $35 bonus. If your paycheck was for $142.25, how much do you make an hour?

Answers

Answer:

9.75

Step-by-step explanation:

first we are going to subtract the bonus

142.25 -35 = 107.25

assuming that you are not takeing breaks you work a total of 11 hours (7+4)

so 11/107.25  = 9.75

so you would make 9.75 an hour before taxs

There are 846,120 fish in a hatchery, which are divided evenly among the ponds. how many ponds could there be at the hatchery? select all the possible numbers.

Answers

In a hatchery, there are a total of 846,120 fish that are evenly distributed among multiple ponds. The task is to identify all the possible numbers of ponds that could exist at the hatchery.

To determine the potential number of ponds in the hatchery, we need to find all the factors of the total number of fish, which is 846,120. Factors are numbers that divide evenly into another number. By finding the factors of 846,120, we can identify the possible numbers of ponds since the fish are divided evenly among them. The factors of 846,120 are: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 560, 840, and 1680. These are all the possible numbers of ponds that could exist in the hatchery, as they evenly divide the total number of fish.

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Find each product.

1. (5a3b)(2ab)

2.5y(-y2+7y-2)

PLEASE HELP!!?!

Answers

Answer:

1).

(5a3b)(2ab)

Expand

That's

15ab( 2ab )

we have the answer as

30a²b²

2).

5y(-y² + 7y - 2)

Expand

That's

- 5y³ + 35y² - 10y

Hope this helps you

Find the sum of
2x^2- 8x– 6 and 9x^2-8

Answers

Answer:

11x^2-8x-14

Step-by-step explanation:

(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14

Answer:

11x^2-8x-14

Step-by-step explanation:

2x^2- 8x– 6 and 9x^2-8

solution:

2x^2- 8x– 6 +(9x^2-8)

=2x^2-8x–6+9x^2-8

=2x^2+9x^2-8x-6-8

=11x^2-8x-14

What’s the degrees to this question

Whats the degrees to this question

Answers

Answer:

Oh yes, wait a minute Mister Postman

Step-by-step explanation:

oh yes, wait a minute Mister Postman yes, waiT yes, wait a minute Mister Postman a  Mister Postman yes, wait a minute Mister Postman Dixie Normus

please help!!

Find the measure of angle Q and length of QR.


The perimeter of QRS is 344 cm. m QR= _______

please help!!Find the measure of angle Q and length of QR.The perimeter of QRS is 344 cm. mQR= _______

Answers

Answer:

\(m\angle {Q}\) = 56°

QR = 167

y = 136

Step-by-step explanation:

please help!!Find the measure of angle Q and length of QR.The perimeter of QRS is 344 cm. mQR= _______

a math class consists of 21 female students and 22 male students. two students are selected at random to participate in a probability experiment. compute the following probabilities. write your answers in decimal form. round to the nearest thousandth as needed. a. a male is selected, then a female. 0.280 incorrect b. a female is selected, then a male. c. two males are selected. d. two females are selected. e. no males are selected

Answers

The  probability is the same as in part (d):

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

Let's begin by calculating the total number of ways to select two students from a group of 43. This can be done using the combination formula:

C(43,2) = (43!)/(2!(43-2)!) = 903

a. To calculate the probability that a male is selected first and then a female, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select a female from the remaining 42 students. Therefore, the probability is:

(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)

b. To calculate the probability that a female is selected first and then a male, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 22 ways to select a male from the remaining 42 students. Therefore, the probability is:

(21/43) * (22/42) = 0.261 (rounded to the nearest thousandth)

c. To calculate the probability that two males are selected, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select another male from the remaining 42 students. Therefore, the probability is:

(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)

d. To calculate the probability that two females are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is:

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

e. To calculate the probability that no males are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is the same as in part (d):

(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)

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Find the interest rate needed for an investment of $5,000 to grow to $8,000 in 9 years if interest is compounded continuously. (Round your answer to the nearest hundredth of a percentage point.)

Answers

The interest rate is 11.05%.

What is the interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here, we have

Given:  an investment of $5,000 to grow to $8,000 in 9 years if interest is compounded continuously.

We have to find the interest rate.

Investment = $5,000

Time(x) = 9 years

n = 12

Annual amount = $8,000

A = P(1+r/n)ⁿˣ

r = n(A/P)⁻ⁿˣ - 1

r = 12(8000/5000)⁻¹⁰⁸ - 1

r = 12(1.6)⁻¹⁰⁸ -1

r = 12(1.0043) - 1

r = 11.05%

Hence, the interest rate is 11.05%.

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One of the legs of a right triangle measures 12 cm and its hypotenuse measures 13 cm. find the measure of the other leg. if necessary, round
to the nearest tenth.


answer: 5

Answers

Therefore, the measure of the other leg in the given right triangle is 5 cm.

To find the measure of the other leg of a right triangle, given the length of one leg and the hypotenuse, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the length of the other leg as x. According to the problem:

12^2 + x^2 = 13^2

Simplifying the equation:

144 + x^2 = 169

Subtracting 144 from both sides:

x^2 = 169 - 144

x^2 = 25

Taking the square root of both sides:

x = √25

x = 5

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The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.

Answers

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Is this correct if you answer I’ll give brainlest

Is this correct if you answer Ill give brainlest

Answers

Answer:

verticle

you are correct

Step-by-step explanation:

Answer:

the answer is currently incorrect x is horizontal

Step-by-step explanation:

trust me I gurante this

Is this complementary, supplementary or neither? Pleasee helppp

Is this complementary, supplementary or neither? Pleasee helppp

Answers

supplementary angle

The workers at the help line answers 24 phone calls every 2hours how many phone calls do the workers answer in 8hours

Answers

Answer:

the answer is 24 calls

Step-by-step explanation:

set the proportion

24/2=x/8

8×24=8x

192=8x

divide by 8

x=24

Solve: 13x+8 = 4x + 1

Answers

Answer:

x = -7/9

Step-by-step explanation:

First, subtract 8 from both sides of the equation.

13x = 4x - 7

Next, subtract 4x from both sides of the equation.

9x=-7

Divide both sides of the equation by the same term

x = -7/9

if you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a diamond or 9? (your answer must be in the form of a reduced fraction.)

Answers

The probability of selecting a diamond or 9 is 1/13.

Step by step explanation: There are 4 suits (diamonds, clubs, hearts, and spades) and 13 ranks (2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace). The probability of selecting a card from a standard deck of 52 cards is 1/52.

To calculate the probability of selecting a diamond or a 9, you must first calculate the total number of diamonds and nines in the deck, which is 8 (4 diamonds and 4 nines). The probability of selecting a diamond or 9 is 8/52, which reduces to 1/13.

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Sally hopes to buy a 3 trailer snowmoblie for about $38,000. Describe all the numbers that when rounded to the nearest hundred are 38,000

Answers

Answer:

The numbers are nearest the 38,000 to roudend :

37,999 , 37,998, 37,997 , 37,996 and 37,995 

hope it helping you , have a good day !

I NEED AN ANSWER ASAP PLEASE

I NEED AN ANSWER ASAP PLEASE

Answers

Step-by-step explanation:

the correct answer is option a 6a-7

awnserrrr anyone???

awnserrrr anyone???

Answers

Answer:

Step-by-step explanation:

a

there are 632 students going on a school trip. Each bus can carry 48 students. how many buses should the school reserve?

Answers

Answer:

you would need 14 buses

Step-by-step explanation:

if there is 632 students and each bus can only carry 48 then you would have to divide to figure out how many buses you would need to fit 632 students .

632 / 48 = 13.1  

you would need 14 so that each student has a place to sit .

Answer:

14

Step-by-step explanation:

If there are 632 students and 48 students can fit on a bus, then all you have to do is divide 632 by 48, which comes out to 13 1/3, and you would not round down because you would have 1/3 kids left out, so you would need another bus which gives you 14 buses.

find the area of this semi-circle with radius 34cm give your answer rounded to 1dp

Answers

Area or semi circle = pi x r^2/2
= 22/7 x 34 x 34 /2
= 3631.68/2
= 1815.84
= 1815.8 cm^2 (1 d.p)

Consider a die with 12 sides in the shapes of dodecahedron. Suppose that the sides are numbers 1 to 12. Also suppose that the die is fair.

A) How many unique outcomes are possible on a single roll of the die?

B) What is the probability that a single roll of the die will result in an odd numbered face on top?

C) What is the probability that a single roll of the die will result in a 2-digit numbered face on top?

D) What is the probability that a single roll of the die will result in a 2-digit numbered face on top?

Answers

Answer:

A) Since the die is 12 sided, there are 12 unique outcomes possible on a single roll of the die

B) The probability for an odd number on top is 1/2

C) The probability for a 2-digit numbered face on top is 1/4

D) Same question as C), so we get, again, The probability for a 2-digit numbered face on top is 1/4

Step-by-step explanation:

B) The odd numbers from 1 to 12 are, 1, 3, 5, 7, 9, 11

since the die is fair, the probability for any of these occuring is 1/12

so, since there are 6 odd numbers, the probability of an odd number facing the top is,

P = 6(1/12) = 1/2

C) The 2-digit numbered faces are 10, 11, 12, so there are 3 numbers, the probability is then,

P = 3(1/12) = 1/4

Alan made $208 for 13 hours of work, At the same rate, how many hours would he have to work to make $ 128?​

Answers

8 hours because he makes $16 an hour

A three-column table is given. Part A C D Part 14 28 63 Whole 50 B 90 What is the value of B in the table? 64 50 40 12

Answers

Using the constant of proportionality the value for B in the table is obtained as option C: B = 40.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

The table contains three columns A, C, D.

The first row contains all the part values - 14, 28, 63

The second row contains all the whole values - 20, B, 90

It is necessary to calculate the constant of proportionality.

In this case, for A, we have 14 part and 20 whole, the constant will be -

COP = Whole / Part

COP = 20 / 14

COP = 1.42857

In this case, for C, we have 63 part and 90 whole, the constant will be -

COP = Whole / Part

COP = 90 / 63

COP = 1.42857

Since, the constant of proportionality is same for A and C, it will be same for B also.

In this case, for B, we have 28 part and B whole, the constant will be -

COP = Whole / Part

1.42857 = B / 28

B = 1.42857 × 28

B = 40

Therefore, the value for B is obtained as 40.

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A three-column table is given. Part A C D Part 14 28 63 Whole 20 B 90 What is the value of B in the table? 64 50 40 12

1. Which quadratic equation below could be used to represent the follow
Your town wants to put a square fountain in the park. The fountain will
dimensions that can be used for the fountain?
x² + 16x + 64 = 800
Ox² + 8x + 16 = 800
C
None of the choices are correct.
2
x² + 16 = 800

Answers

Step-by-step explanation:

your text misses some parts.

so, there is no clear way to tell you the correct answer option. but there are some indications what is more likely your teacher wants to see as an answer, when we look at the individual options.

x² + 16x + 64 = 800

is the same as

(x + 8)² = 800

and then

x + 8 = sqrt(800) = 28.28427125...

x = 20.28427125...

not a nice number, but yes, a possible solution.

x² + 8x + 16 = 800

is the same as

(x + 4)² = 800

x + 4 = sqrt(800) = 28.28427125...

x = 24.28427125...

again, not a nice number, but yes, a possible solution.

I ignore "none of the choices are correct". again you did not provide enough information to make that call, as we have already 2 possibly valid solutions.

x² + 16 = 800

x² = 784

x = sqrt(784) = 28

that is a "nice" number and a possible solution.

I would therefore bet on this answer, although, as mentioned, it is not clear what we actually try to find out.

The midpoint of \overline{\text{AB}} AB is M(-4, 2)M(−4,2). If the coordinates of AA are (-6, 5)(−6,5), what are the coordinates of BB?

Answers

Answer:

Point f

Step-by-step explanation:

W

Answer:(-5,6)

Step-by-step explanation:

The Bay announced it would open a 9000-plus square metre freestanding store in the new West Grand Promenade. This would be the largest store on the promenade, with other smaller stores selling food, tires, and shoes. How else can this particular Bay store be described

Answers

This Bay store can also be described as a big box retailer store.

Big Box Retailer

A big box retailer is a physically enormous retail store that is typically a component of a chain of stores (also known as a hyper store, supercenter, superstore, or megastore). By extension, the phrase, big box retailer can also refer to the business that runs the store.

The Bay Store as a Big Box

There are numerous retail chains that only operate in Canada, aside from the large American big box retailer stores like Walmart Canada and the formerly-existent Target Canada. These include places like Hudson's Bay by Home Outfitters, Loblaws by Real Canadian Superstore, Rona, Winners by HomeSense, Canadian Tire by Mark's & Sport Chek, Shoppers Drug Mart, Chapters by Indigo Books and Music, Sobeys, and several others.

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PLEASE HELP PLEASE HELP!!!!
You run m miles on Monday, the same amount on Tuesday, and 3 miles on Wednesday. Write an expression in the simplest form that represents the total amount in each situation.
(please show work)

Answers

The mean, or average, is equal to the sum of all the miles divided by the number of terms you added together. We have 4 terms that will be added, but are missing one term. We will solve for the missing term by setting up an equation for the average and solving for x, the number of miles you must run on Thursday.

3 = (2 + 3 + 4 + x) / 4

12 = 2 + 3 + 4 + x

12 = 9 + x

x = 3 miles

(06.04 mc)
jake tossed a paper cup 50 times and recorded how it landed. the table shows the results
position
open side up closed side up landing on side
number of times landed in position
1
5
44
based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). show your work.

Answers

Based on the given data, the experimental probability of landing open side up is 0.1, landing closed side up is 0.88, and landing on its side is 0.02.

To determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side), we need to calculate the ratio of the number of times the cup landed in each position to the total number of tosses.

Let's calculate the experimental probability for each outcome based on the given table:

1. Landing open side up:

The cup landed open side up 5 times out of 50 tosses.

Experimental Probability = Number of times landed open side up / Total number of tosses

Experimental Probability = 5 / 50

Experimental Probability = 0.1

2. Landing closed side up:

The cup landed closed side up 44 times out of 50 tosses.

Experimental Probability = Number of times landed closed side up / Total number of tosses

Experimental Probability = 44 / 50

Experimental Probability = 0.88

3. Landing on its side:

The cup landed on its side 1 time out of 50 tosses.

Experimental Probability = Number of times landed on its side / Total number of tosses

Experimental Probability = 1 / 50

Experimental Probability = 0.02

Based on the given data, the experimental probability of landing open side up is 0.1, landing closed side up is 0.88, and landing on its side is 0.02. These probabilities indicate the likelihood of each outcome occurring in a toss.

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