Find all!! solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)

a) sin(theta) + 1 = 0
b) cos(theta) = 0.44
c) 9 sin(theta) − 1 = 0

Answers

Answer 1

a) There is no solution for the given equation and b) The solution of the given equation is 2πk - 1.13, 1.13 + 2πk and c) There is no solution for the given equation.

a) Given equation is sin(theta) + 1 = 0.

It is given that sin(theta) + 1 = 0

sin(theta) = -1

Here, we know that the value of sin(theta) is between -1 and 1.

So, there is no solution for the given equation.

b) Given equation is cos(theta) = 0.44.

Here, we know that the value of cos(theta) is between -1 and 1. Also, we can use the inverse cosine function to solve for theta.

cos(theta) = 0.44

cos⁻¹(cos(theta)) = cos⁻¹(0.44)

θ = 1.13 + 2πk, 2πk - 1.13 for all k ∈ Z. (using calculator)

Thus, the solution of the given equation is 2πk - 1.13, 1.13 + 2πk.

c) Given equation is 9sin(theta) - 1 = 0.

9sin(theta) = 1

Here, we know that the value of sin(theta) is between -1 and 1.

So, there is no solution for the given equation.

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Related Questions

please please help me

please please help me

Answers

Answer:

I'm pretty sure its 3500

Answer:

3,500 meters above the ground.

Step-by-step explanation:

The working is in the picture I attached to this response.

⭐ if this response helped you, please mark it the "brainliest"!⭐

please please help me

About 35% of the plants in a greenhouse are tomatoes. About 20% of the tomato plants are grape tomatoes. What percent of all the plants are grape tomato plants?

Answers

Answer:

7%

Step-by-step explanation:

To find the percentage of grape tomatoes among all plants, we can multiply the percentage of tomato plants by the percentage of grape tomatoes among tomato plants:

(35%) * (20%) = 7%

So, 7% of the plants in the greenhouse are grape tomato plants.

the census bureau includes nine states in what it defines as the northeast region of the united states. assume that the government is interested in tracking unemployment in these nine states and that the random variable of interest is the number of northeastern states with an unemployment rate that is less than 8.3%. what values may this random variable assume? (enter your answers as a comma-separated list.)

Answers

The northeast area consists of nine states, hence this variance can have any value between 0 and 9, inclusive.

The proportion of northeastern states having an unemployment rate lower than 8.3% is the random factor of interest. The random variable will have a value of 0 if the unemployment rate was higher compare to 8.3% in each of the nine states. The binomial distribution would have a value of 1 if only one state had an unemployment rate lower than 8.3%.

The random variable will assume on a value in the range if two states have a rate of unemployment lower than 8.3%, and so on, up to a limit result of 9 that all nine states include an poverty rate lower than 8.3%.The government can monitor the northeast region's economic conditions and make accurate policy decisions by keeping tabs on poverty in these nine states.

The government can recognize regions that might require extra assistance and initiatives to make their economic situation by knowing how many states had unemployment rates under a particular level.

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The answer 3h - 5 < 13?

Answers

Answer:  h < 6

Step-by-step explanation:

3h - 5 < 13

3h < 18

h < 6

Answer:

h<6

Step-by-step explanation:

ab + c = d solve for b

Answers

Answer:

\(\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}\)

Step-by-step explanation:

\(ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}\)

Solve the system of equations below. (5 points)
x − y = 5
2x − 3y = 4

Answers

Answer:

x=11 and y=6

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

x−y=5;2x−3y=4

Step: Solvex−y=5for x:

x−y+y=5+y(Add y to both sides)

x=y+5

Step: Substitutey+5forxin2x−3y=4:

2x−3y=4

2(y+5)−3y=4

−y+10=4(Simplify both sides of the equation)

−y+10+−10=4+−10(Add -10 to both sides)

−y=−6

-y/-1 = -6/-1 (Divide both sides by -1)

y=6

Step: Substitute6foryinx=y+5:

x=y+5

x=6+5

x=11(Simplify both sides of the equation)

Answer:

x=11 and y=6

Please answer this question for me. :)

Please answer this question for me. :)

Answers

The system of equation for the graph are,

⇒ y = 2x + 3

⇒ y = - 1/2x - 3

We have to given that;

Two lines are shown in graph.

Now, By graph;

Two points on first line are (0, 3) and (1, 5)

And, Two points on second line are (- 6, 0) and (0, - 3)

Hence, We get;

Since, The equation of line passes through the points (0, 3) and (1, 5)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (5 - 3)) / (1 - 0)

m = 2 / 1

m = 2

Thus, The equation of line with slope 2 is,

⇒ y - 3 = 2 (x - 0)

⇒ y = 2x + 3

And, Since, The equation of line passes through the points (- 6, 0) and

(0, - 3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 3 - 0)) / (0 + 6)

m = - 3 / 6

m = - 1/2

Thus, The equation of line with slope - 1/2 is,

⇒ y - 0 = - 1 /2 (x + 6)

⇒ y = - 1/2x - 3

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What is the area of a circle with 22 diameter

Answers

Answer:

380.13

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

What is the value of X
pls dont sent false links ​

What is the value of Xpls dont sent false links

Answers

Answer:

x = 43°

Step-by-step explanation:

The chord- chord angle AED is half the sum of the arcs intercepted by the angle and its vertical angle, that is

x = \(\frac{1}{2}\) (54 + 32)°  = \(\frac{1}{2}\) × 86° = 43°

book i, problem 27. find two numbers such that their sum and product are given numbers; say their sum is 20 and their product is 96. [hint: call the numbers 10 c x and 10 x. then one condition is already satis e d.]

Answers

Two numbers that satisfy the conditions of having a sum of 20 and a product of 96 are 8 and 12. This can be answered by the quadratic equation.

Let's call the two numbers we're looking for "x" and "y". We know from the problem that:

x + y = 20

xy = 96

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y:

y = 20 - x

We can substitute this expression for y into the second equation:

x(20 - x) = 96

Expanding the left side, we get:

20x - x^2 = 96

Rearranging terms:

x^2 - 20x + 96 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = (20 ± sqrt(20^2 - 4(1)(96))) / (2(1))

x = (20 ± 4) / 2

So we have two possible solutions:

x = 12 or x = 8

If x = 12, then y = 8 (from the equation y = 20 - x). We can check that these values satisfy both conditions:

12 + 8 = 20

12 * 8 = 96

Therefore, the two numbers that satisfy the conditions are 8 and 12

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In ________, data miners develop a model prior to the analysis and apply statistical techniques to data to estimate parameters of the model.

Answers

In hypothesis testing, data miners develop a model prior to the analysis and apply statistical techniques to data to estimate the parameters of the model.

In hypothesis testing, data miners formulate a hypothesis or a model about a population parameter based on prior knowledge or assumptions. This model specifies the relationship between variables and the expected values of the parameters. The next step is to collect data and analyze it using statistical techniques to estimate the parameters of the model.

The estimation of parameters involves using the available data to make inferences about the unknown population parameters. This can be done using various statistical methods such as maximum likelihood estimation, least squares estimation, or Bayesian estimation. These techniques aim to find the best estimates of the parameters that are consistent with the observed data and the assumptions of the model.

Once the parameters are estimated, data miners can then evaluate the goodness of fit of the model and draw conclusions about the population based on the estimated parameters. This process allows for hypothesis testing and making inferences about the population based on the sample data and the estimated parameters of the model.

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May I please receive help?

May I please receive help?

Answers

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

Definition:

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:  

                     c² (hypotenuse) = a² (leg₁) + b² (leg₂)

Solution

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a²  + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

\(\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}\)

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.

how to find percentage of data within one standard deviation

Answers

To find the percentage of data within one standard deviation of the mean, you can use the empirical rule, also known as the 68-95-99.7 rule.

This rule states that for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

So, to find the percentage of data within one standard deviation, you can calculate the percentage that falls between the mean minus one standard deviation and the mean plus one standard deviation. Since approximately 68% of the data falls within this range, the percentage of data within one standard deviation is approximately 68%.

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d(t) ==_5925 x + 26,300

What is the depreciated value of the car after 10 years?

Answers

Answer:

26,300 yards is longer because 26,300 yard is equal to 14.94 miles ( 14 or 15 miles)

Step-by-step explanation:

1 - -8= i am having trouble answering it

Answers

Answer:

Step-by-step explanation:

2 subtraction symbols equals a plus

so the answer is 9

3m + 2n + 4;
m = 2 and N =4
D2 + 9k; d = 10 and k =9
3m + 4y x 2 m = 7, y = 10

3m + 2n + 4;m = 2 and N =4D2 + 9k; d = 10 and k =93m + 4y x 2 m = 7, y = 10

Answers

Answer:

1. 18

2. 181

3. 101

Step-by-step explanation:

They want you to take each equation, and replace the letter with the number they give you after the equation.

3m + 2n + 4; m = 2, n = 4

This becomes

3(2) + 2(4) + 4

We multiply before we add, according to the order of operations. So next, the equation becomes:

6 + 8 + 4

= 18

———-

D^2 + 9k ; D = 10, k = 9

Numbers squared are numbers multiplied by themselves.

(10)(10) + 9(9)

= 100 + 81 = 181

——————-

3m + 4y x 2 ; m = 7, y = 10

3(7) + 4(10) x 2

21 + 40 x 2

Remember, multiplication always comes before addition.

21 + 80 = 101

Please let me know if you have questions on this.

Point B lies on AC between
points A and C. If...
AB = 2x + 4, BC = 20, and
AC = 5x + 15,
find x.

Answers

Answer:

x = 3

Step-by-step explanation:

A___B___C

AC = AB+ BC

5x +15 =(2x+4) + ( 20)

5x + 15 = 2x + 24

5x - 2x = 24 - 15

3x = 9

x = 9/3

x = 3

I hope I helped you^_^

If m∠B = 62°, a = 11, and c = 19, what are the measures of the remaining side and angles?

Answers

The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

What is Cosine Formula?

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

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Help I don’t get it

Help I dont get it

Answers

Answer:

33

Step-by-step explanation:

Answer

\(\sqrt{33}\)

Explanation

You can find the length of AC using the Pythagorean Theorem.

\(l^{2}+l^{2}=h^{2}\)

The legs, are AB and AC. They are the shortest sides.

The hypotenuse is BC. It is the longest side.

You know one of the legs are 4.

You know the hypotenuse is 7.

So plug those into the equation.

\(4^{2} + l^{2} = 7^{2}\)

Well, 4 squared is 16.

7 squared is 49.

\(16 + l^{2} = 49\)

Well you can rearrange the equation to find the remaining leg.

\(49-16=l^{2}\)

So now you can solve for it.

\(49-16=33\)

\(33=l^{2}\)

Since the leg is squared, you can undo it by using the square root.

Therefore the length of AC is the third choice.

pls help asap if you can!!!!

pls help asap if you can!!!!

Answers

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

What are alternate interior angles

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Solve the simultaneous equations
2x+y=5
5x+3y=12

Answers

Answer:

x=3 and y= -1

Step-by-step explanation:

Step 1: Solve2x+y=5 for y:

2x+y=5

2x+y+−2x=5+−2x(Add -2x to both sides)

y=−2x+5

Step 2: Substitute−2x+5foryin5x+3y=12:

5x+3y=12

5x+3(−2x+5)=12

−x+15=12(Simplify both sides of the equation)

−x+15+−15=12+−15(Add -15 to both sides)

(Divide both sides by -1)

x=3

Step 3: Substitute3forxiny=−2x+5:

y=−2x+5

y=(−2)(3)+5

y=−1(Simplify both sides of the equation)

Answer:

x=3 and y=−1

can someone helppp!! i will guy brainlist if it’s right!

can someone helppp!! i will guy brainlist if its right!

Answers

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75

Please answer in simplified, rationalized form and don’t round

Please answer in simplified, rationalized form and dont round

Answers

Answer:

4.359/10

Step-by-step explanation:

Please help me and explain your answer and how you got it.

Please help me and explain your answer and how you got it.

Answers

Answer: It’s 125
Explaination

Answer:

35

Step-by-step explanation:

Its the only one that really makes sense.

Find the area of a regular hexagon with a radius 4.

Answers

Answer: 41.5692

Hope I helped :)

1. True or False; An integer is a rational number.

Answers

Answer:

True

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1.

Answer:  sir your answer is TRUE

Step-by-step explanation:all integers are a rational number. They can be written as a fraction

what are the values that re solutions to the inequality x>-4.

Answers

Answer:

-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on for infinity

Step-by-step explanation:

At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years

Answers

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

What is the formula to solve quadratic equation?

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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What is the similarity ratio of QRST to YVWX?

What is the similarity ratio of QRST to YVWX?

Answers

Answer:

Step-by-I’ll helpstep explanation:

Answer:

2

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal.

QRST → YVWX ← shows the corresponding sides , then

similarity ratio = \(\frac{WX}{ST}\) = \(\frac{4}{2}\) = 2

1. Janet's gross earnings through June 30 were $30, 298. Find the SDI deduction if her gross earnings the next payday of July 15
are $2, 145. Use an SDI rate of 1% on the first $31, 800 of income.

$19.56
$21.45
$15.02
$17.23

Answers

The SDI deduction of her groo earning is

$15.02. Option 3 is the right answer

How the answer was obtained

To calculate the SDI (State Disability Insurance) deduction, we need to first determine the taxable income for the next payday of July 15. We know that the SDI rate is 1% on the first $31,800 of income. Therefore, the maximum SDI deduction for the year is $318.

Janet's gross earnings through June 30 were $30,298, which means she has earned $1,502 less than the taxable income limit of $31,800. Therefore, we can subtract $30,298 from $31,800 to get the amount of taxable income for the next payday, which is $1,502.

To calculate the SDI deduction, we multiply the taxable income by the SDI rate:

$1,502 x 0.01 = $15.02

Therefore, the SDI deduction for Janet's next payday of July 15 is $15.02.

The answer is $15.02.

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