use the fact that there are 2pi radians in each circle to find another angle, smaller than 2pi, that is equivalent to 17pi/6. Show steps please

Answers

Answer 1

we are given angle as

[tex]\theta=\frac{17\pi}{6}[/tex]

we can write it as

[tex]\theta=\frac{12\pi+5\pi}{6}[/tex]

now, we can break it

[tex]\theta=\frac{12\pi}{6}+\frac{5\pi}{6}[/tex]

On simplifying

[tex]\theta=2\pi +\frac{5\pi}{6}[/tex]

we know all angles repeats itself after 2pi

so,

[tex]2\pi + \theta= \theta[/tex]

so, we get

[tex]\theta=\frac{5\pi}{6}[/tex]...............Answer

Answer 2

Final answer:

To find an angle equivalent to 17pi/6 radians and smaller than 2pi, subtract multiples of 2pi. In this case, subtracting one full circle (2pi) from 17pi/6 yields an equivalent angle of 5pi/6 radians.

Explanation:

To find an angle equivalent to 17pi/6 radians that is smaller than 2pi radians, we can subtract multiples of 2pi until we get an angle that lies between 0 and 2pi. This is because angles that differ by full circles (multiples of 2pi) are equivalent in the circular system.

First, calculate how many full circles 17pi/6 radians contain:
17pi/6 ÷ 2pi = 17/12 ≈ 1.4167

Since 1.4167 is more than 1 but less than 2, we know that 17pi/6 radians contain one full circle plus some additional angle. To find this angle, subtract the full circle from 17pi/6.

17pi/6 - 2pi = 17pi/6 - 12pi/6 = 5pi/6

Thus, 5pi/6 radians is equivalent to 17pi/6 radians but is less than 2pi and thus satisfies the conditions of the problem.


Related Questions

Find the mean (average) of the data set below? 2/4, 18/5, 28/10, 5/20

Answers

the mean (average) of the data set below

2/4, 18/5, 28/10, 5/20

We are given with 4 fraction

to find mean , we add all the fractions and divide by 4

Lets add all the fractions

[tex]\frac{2}{4} + \frac{18}{5} + \frac{28}{10} + \frac{5}{20}[/tex]

Make the denominators same

LCM is 20

Try to get 20 in the denominator

[tex]\frac{2*5}{4*5} + \frac{18*4}{5*4} + \frac{28*2}{10*2} + \frac{5}{20}[/tex]

[tex]\frac{10}{20} + \frac{72}{20} + \frac{56}{20} + \frac{5}{20}[/tex]

[tex]\frac{143}{20}[/tex]

Now we divide by 4

[tex]\frac{\frac{143}{20}}{4}=\frac{143}{80}=1\frac{63}{80}[/tex]


Apples cost $0.89/pound. How much will 25 pounds cost?

Answers

$22.25 will be your answer for this one

Answer:

Your answer will be 22.25 because 0.89 times 25 equals that

Step-by-step explanation:


half the difference of a number and 7 is 11. what is the number?

Answers

1/2(x - 7) = 11

Distributive property.

0.5x - 3.5 = 11

Add 3.5 to both sides.

0.5x = 14.5

Multiply both sides by 2.

x = 29. (This is your answer.)

We can plug 29 into the original equation to verify.

1/2(x - 7) = 11

1/2(29 - 7) = 11

1/2(22) = 11

11 = 11 √ This is correct.

Need help on 16 please!!!!!!!

Answers

16,000 because you divide 40,000 by 20 and you get 2000 so you multiple by 8 the number of students that are out less then 5 days a year
16,000 because you should start with dividing 40,000 and 20

A shelf holds 2 cans of tomato soup, 8 cans of vegetable soup, 1 can of chicken noodle soup, and 8 cans of potato soup. Without looking you grab one can of soup. What's the probability that it's potato soup?

Answers

You have an 8 out of 19 chance to grab a potato soup.


Final answer:

The probability of randomly selecting a can of potato soup from the shelf of 19 cans is 8/19. This situation involves the concept of probability in mathematics where you divide the number of favorable outcomes by the number of total outcomes.

Explanation:

The subject of the question is probability, which falls under the broader category of mathematics. The question is about finding the probability of selecting a can of potato soup from a shelf.

If we look at this question in terms of probability,

we first identify the total number of outcomes, which refers to the total number of cans on the shelf. There are 2 cans of tomato soup, 8 cans of vegetable soup, 1 can of chicken noodle soup, and 8 cans of potato soup, giving us a total of 19 cans.

The desirable outcomes are the number of cans of potato soup, which is 8.

The probability of an event is given by the ratio of the number of favorable outcomes to the number of total outcomes. In this instance, the probability of pulling out a can of potato soup is therefore 8/19.

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when you subtract one square number from another the answer is 7 what are the two square numbers

Answers

16 and 9 since 16 - 9 = 7


the ratio of the length of an airplane wing to its width is 6 to1 . if the length of a wing is 12.5 meters ,how wide must it be

Answers

If you set up a proportion, this will make sense.


[tex]\frac{6}{1}= \frac{12.5}{x}[/tex]

Now, Cross Multiply


6x = 12.5

x = 25/12

Find the slope of the line passing through the points (2, 7) and (-1, 4).

Answers

Hello!

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{4-7}{(-1)-2}=\frac{-3}{-3}=1[/tex]

Slope is 1.

Final answer is 1.

*The answer must have a positive sign.*

Hope this helps!

Thanks!

Have a nice day! :)

:D

-Charlie


The slope of the line passing through the point (2, 7) and (-1, 4) exists 1.

How to find the slope of the line?

Let the two points are (2, 7) and (-1, 4).

The slope of a line that passes through the points be [tex]$\left(x_{1}, y_{1}\right)$[/tex] and [tex]$\left(x_{2}, y_{2}\right)$[/tex] exists given by

[tex]$\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$$[/tex]

[tex]$x_{1}=-1, y_{1}=4$[/tex] and

[tex]$x_{2}=2, y_{2}=7$[/tex]

Now, substitute the above values in the slope formula.

[tex]$&m=\frac{7-4}{2-(-1)} \\[/tex]

[tex]$&=\frac{7-4}{2+1}=\frac{3}{3}[/tex]

Slope m = 1

Hence, the slope of the line passing through the point exists 1.

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1. A triangle-shaped machine part has sides of 21 /2 inches, 31 /4 inches, and 5 inches. The triangle's perimeter is A. 103 /4 inches. B. 113 /8 inches. C. 101 /8 inches. D. 111 /2 inches.

Answers

The perimeter of a triangle is the sum of its sides​

​Perimeter = 21/2 inches + 31/4 inches + 5 inches =

​Perimeter = 21*2/2*2 inches + 31/4 inches + 5*4/4 inches =

Perimeter = 42/4 inches + 31/4 inches + 20/4 inches =​

Perimeter = (42 inches + 31 inches + 20 inches)/4 = 93/4 inches

Answer : 93/4 inches​

Hope this helps!​​​​​

​[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​​

Solve for xxx.
−9x+2>18 OR 13x+15≤−4

Answers

Answer:

x < -19/13

Step-by-step explanation:

Final answer:

The solution to the inequalities −9x+2>18 and 13x+15≤−4 is to find values of x that satisfy either x < ∘⅗⁄3 or x ≤ ∘⅗/13.

Explanation:

To solve the equations −9x+2>18 OR 13x+15≤−4, we need to treat them separately as two different inequalities.

For the first inequality, subtract 2 from both sides to get −9x > 16, then divide by −9 to isolate x, which gives us x < ∘⅓⁄9 or x < ∘⅗⁄3.

For the second inequality, subtract 15 from both sides to get 13x ≤ −4 − 15 or 13x ≤ −19. Finally, divide by 13 to isolate x, leading to x ≤ −⅓⁄13 or x ≤ ∘⅗/13.

Therefore, the solution to the system of inequalities is any x that satisfies at least one of these conditions: x < ∘⅗⁄3 or x ≤ ∘⅗/13.

what is the answer N= (3×5²×X³)

Answers

N= (3×5²×X³)

N = 75 * X³

N = 75 X³

Comment.

Just write out all the factors.

N = 3*5*5 * x*x*x

Note that the "x"s don't combine with anything but themselves. The numbers do.

3*5*5 = 75

N = 75 * x³    Answer

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference. 1. (–3x3 + 5x2 + 4x – 7) + (–6x3 + 2x – 3) 2. (–3x3) + 5x2 + 4x + (–7) + (–6x3) + 2x + (–3) 3. [(–3x3) + (–6x3)] + [4x + 2x] + [(–7) + (–3)] + [5x2] 4. –9x3 + 6x + (–10) + 5x2 5. –9x3 + 5x2 + 6x – 10

Answers

Answer:

[tex]-9x^3 + 5x^2 + 6x-10[/tex]

Step-by-step explanation:

Lorne subtracted [tex]6x^3 - 2x + 3[/tex] from [tex]-3x^3 + 5x^2 + 4x - 7[/tex]

We need to subtract  [tex]6x^3 - 2x + 3[/tex]

[tex]-3x^3 + 5x^2 + 4x - 7 - (6x^3 - 2x + 3)[/tex]

Multiply negative sign inside the parenthesis

[tex]-3x^3 + 5x^2 + 4x - 7 -6x^3 +2x - 3[/tex]

Now combine like terms to simplify it

[tex]-3x^3-6x^3 + 5x^2 + 4x+2x - 7 - 3[/tex]

[tex]-9x^3 + 5x^2 + 6x-10[/tex]

Answer:

the guy above me is wrong

Step-by-step explanation:

1-c

2-d

3-b

4-a

i did this n got em right hope it helps :)

whats between 5 and 10?

Answers

There are an infinite amount of numbers between 5 and 10 if you consider decimal positions.

However, if you're referring to whole numbers (example: 5, 25, 200, etc)

There are 4 numbers between 5 and 10:

6, 7, 8, and 9.

Which of the following options have the same value as 10%, percent of 33? Choose 3 answers: (Choice A) 0.1 x (Choice B) 10 x 33 (Choice C) 1/10 x 33 (Choice D) 0.1 x 33

Answers

Answer:

C  D  AND  E

Step-by-step explanation:

I AM SMART!!!

Final answer:

To find the value that is equivalent to 10% of 33, you can use the formula (10/100) x 33. Simplified, this is (1/10) x 33. The options that have the same value as 10% of 33 are Choice A (0.1 x 33), Choice C (1/10 x 33), and Choice D (0.1 x 33).

Explanation:

To find the value that is equivalent to 10% of 33, we can use the formula:
10% of 33 = (10/100) x 33.
Simplifying this, we get:
10% of 33 = (1/10) x 33.
So, the options that have the same value as 10% of 33 are Choice A (0.1 x 33), Choice C (1/10 x 33), and Choice D (0.1 x 33).

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Tracey is looking at two different travel agencies to plan her vacation. ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. M and N travel offers a plane ticket for $350 and a rental car for $33 per day. What is the minimum number of days that Shirley’s vacation should be for M and N Travel to have the better deal?

Answers

Shirley/Tracey has to stay at least 10 days for the M and N to cost less

Answer:

10 days.

Step-by-step explanation:

Let d represent number of days.

We have been given that ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. The total cost of travelling x days using ABC travel company would be [tex]39x+295[/tex].  

We have been given that M and N Travel offers a plane ticket for $350 and a rental car for $33 per day. The total cost of travelling x days using M and N travel company would be [tex]33x+350[/tex].

To make M and N travel the better deal, we will set an inequality, where total cost of x days using ABC travels is greater than M and N travels as:

[tex]39x+295>33x+350[/tex]

[tex]39x-33x+295>33x-33x+350[/tex]

[tex]6x+295>350[/tex]

[tex]6x+295-295>350-295[/tex]

[tex]6x>55[/tex]

[tex]\frac{6x}{6}>\frac{55}{6}[/tex]

[tex]x>9.166[/tex]

Since the closest integer to 9.1677 is 10, therefore, for a vacation of 10 days using M and N travels will be the better deal.

In a study of 300 pregnant women with good to excellent health diets, 95% had babies in good or excellent health. How many women in this group had babies in good or excellent health?

Answers

For this question, just multiply the number (300) by the percent (.95)

Your answer is 285 women

Final answer:

To determine the number of women with babies in good or excellent health, we multiply the total number of women (300) by the percentage of women with healthy babies (95%). We find that 285 out of the 300 women had babies in good or excellent health.

Explanation:

In the study mentioned, it is stated that 95% of pregnant women with good to excellent health diets had babies in good or excellent health. The total number of women considered in this study is 300. To calculate the exact number of women who had babies in good or excellent health, we can apply the concept of percentage which means 'per 100'. So, 95% of 300 women equals (95/100)*300 = 285 women. Therefore, out of 300 women, 285 women had babies in good or excellent health.

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What ordered pair represents the point where the x-axis and y-axis intersecf? What is the name of this
point?

Answers

Answer:

The answer is A.

Step-by-step explanation:

evaluate -5/11+ -4/11 writing your answer as a simplified fraction

Answers

The answer would be -9/11 because since the denominator is the same, we can ignore it for now. Just add -4 and -5, you get -9. Finally, add the denominator of 11 back to get the answer

Which sum is rational?

A. π + 18

B. √25 + 1.75

C. √3 + 5.5

D. π + √2

Answers

Answer:

B. √25 + 1.75

Step-by-step explanation:

A. π + 18 = 21.14159265..

B. √25 + 1.75 = 6.75

C. √3 + 5.5 = 7.2320508...

D. π + √2 = 4.55580..

Rational numbers are any fractions, integers, terminating decimals, or repeating decimals.

Option B will be a rational number while options A, C and D will be irrational numbers.

What is a rational number?

A number that can be written in p/q form where q≠0 is called a rational number.

An irrational number is non-terminating and non-repeating in nature.

For example, π is an irrational number because

π =3.1415926535897.....................that is non-terminating and non-repeating and can never be written in p/q form

Similarly, a non-perfect-square number written inside a root is also an example of an irrational number.

A)  π + 18

π is an irrational number while 18 is a rational number so the sum of irrational and rational will be an irrational number.

B) √25 + 1.75

√25 = 5 i.e. a rational number

1.75 is a rational number

Rational + Rational = Rational

5+1.75 = 6.75

6.75 is a rational number.

C) √3 + 5.5

√3 is an irrational number so √3 + 5.5 is an irrational number.

D) π + √2

π is an irrational number so π + √2 is an irrational number.

Hence, Option B will be a rational number while options A, C and D will be irrational numbers.

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Give me the definition for Pure Substance & give me an example.

Answers

Definition: as substances that are made of only one type of atom or molecule.

Examples: tin, sulfur, diamond, water, pure sugar (sucrose), table salt (sodium chloride) and baking soda (sodium bicarbonate).

hope this helps!


What does counterexample mean

Answers

an example that opposes or contradicts an idea or theory.

Final answer:

A counterexample is an example that disproves a statement or argument by showing that the conclusion can be false even when the premises are true. This concept is widely used in philosophy to test and refine arguments and definitions.

Explanation:

A counterexample is a specific case or example that refutes a general assertion or proposition. In philosophical reasoning and critical thinking, counterexamples hold particular significance as they can demonstrate the invalidity of an argument. The argument may have premises that are all true, but the conclusion drawn from these premises is shown to be false through the counterexample. Philosophers often use this method to refine definitions, understand the essence of concepts, and advance epistemological theories about knowledge and justification. Furthermore, it is a useful practice to generate counterexamples in order to test the validity of our own beliefs and arguments.

To identify counterexamples, one must consider a statement or argument and then conceive of a scenario where despite the premises being true, the conclusion does not follow. This act of finding counterexamples is critical for ensuring the soundness of deductive reasoning and often leads to the revision or abandonment of flawed concepts or arguments.

The difference between two thirds of a number and 4 is -92

Answers

2/3x - 4 = -92

Add 4 to both sides.

2/3x = -88

Multiply both sides by 3.

2x = -264

Divide both sides by 2.

x = -132. (This is your answer.)

Let me know if you have any other questions! :)

Final answer:

To find the difference between two thirds of a number and 4, you can set up an equation and solve for the number.

Explanation:

To find the difference between two thirds of a number and 4, we can use algebraic expressions. Let's assume the number is x.

Two thirds of the number can be expressed as (2/3)x.

The difference between two thirds of the number and 4 can be written as (2/3)x - 4.

According to the problem, this expression is equal to -92. So we have the equation (2/3)x - 4 = -92. Solving this equation will give us the value of x, which is the number we are looking for.

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A new cell phone costs $85, and the sales tax is 9%. what is the amount of sales tax?

Answers

This is a great life skill to learn and something you will use everyday.  To find tax, multiply the cost by the tax rate as a decimal.  Here is how it is done:


cost: $85

tax rate: 9%=0.09 as a decimal

85 times 0.09= 7.65

You will pay $7.65 in taxes on the new cell phone.


Answer:

7.65

Step-by-step explanation:

just did the lesson

what is the distance between -15 to 20

Answers

On a number line, moving to the left 15 points would land us at -15. Moving to the right 20 points would land us at 20. The amount of points in between those two points is 35. We can find this out by calculating the difference of 20 and -15.
20 - (-15)
The negatives cancel out, making the equation 20 + 15, which is 35. :)

The distance between -15 and 20 on the number line is 35 units, calculated by taking the absolute difference between the two numbers.

The distance between two points on a number line can be found by taking the absolute difference between those points. To find the distance between -15 and 20, you subtract the smaller number from the larger one and take the absolute value:

|20 - (-15)| = |20 + 15| = |35| = 35

Therefore, the distance between -15 and 20 is 35 units.

Is 1x+4=10 20-11=11 7+10=17
True false or open?

Answers

The first equation is open, since it has an unsolvable variable. 1x could be anything!

The second equation is false, because 20 - 11 = 9    not 11.

The last equation is true,  7 + 10 does equal 17!

1x + 4 = 10

x = 10 - 4

x = 6 (true)

--------------------

20 - 11 = 11

20 - 11 = 9 (false)

-----------------------

7 + 10 = 17 (true)

You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. Last, you must turn and run back to the starting line. What is the distance from Checkpoint B to the starting line? THANKS :)

Answers

Final answer:

To find the distance from Checkpoint B to the starting line, we add the distances from Checkpoint B to Checkpoint A and then double that sum.

Explanation:

To find the distance from Checkpoint B to the starting line, we need to add the distances from Checkpoint B to Checkpoint A and then double that sum. Let's calculate it step by step:

Distance from starting line to Checkpoint A: 20 yards

Distance from Checkpoint A to Checkpoint B: 12 yards

Total distance from starting line to Checkpoint B: 20 + 12 = 32 yards

To find the distance from Checkpoint B to the starting line, we double the distance from starting line to Checkpoint B: 2 × 32 = 64 yards

Therefore, the distance from Checkpoint B to the starting line is 64 yards.


Simplify the expression.

7d + 12 – 4d – 3


19d – 7


3d + 9


12d


3d2 + 9

Sorry I'm confused XP
Maybe 12d?

Answers

Answer:

3d+9

Step-by-step explanation:

7d + 12 − 4d − 3 = 7d + 12 + − 4d + − 3

Combine Like Terms:

= 7d + 12 + − 4d + − 3

= (7d + − 4d) + (12 + − 3)

= 3d + 9


Hope this helps :-)

The simplified value of the given expression is 3d+9

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 7d + 12 − 4d − 3, we need to simplify it,

7d + 12 − 4d − 3

Combine Like Terms:

= 7d + 12 + − 4d  − 3

= (7d + − 4d) + (12 + − 3)

= 3d + 9

Hence, the simplified value of the given expression is 3d+9

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how do you write 996 as a fraction, mixed number, or whole number in simplest form?

Answers

To convert a mixed number to its lowest form, one needs to change the mixed number into an improper fraction and then reduce this improper fraction to the lowest possible fraction. To do these conversions, one needs to perform a few calculations. One also has to understand the definitions of "mixed number," "improper fraction" and "proper fraction."

A proper fraction is a fraction that has a lower number in the numerator and a higher number in denominator, such as the fraction three-fourths. An improper fraction is the inverse of this, which entails the higher number in numerator and lower number in the denominator, like 5/3. A mixed number is a whole number with a fraction, such as 1 3/4.

To convert the mixed number 1 3/4, one has to multiply the denominator 4 by the whole number 1 that gives 4, add this 4 to the 3 in the numerator to get 7 and place 7 over the denominator to find the improper fraction 7/4. In this case, this is the lowest form for this mixed number. However, if the mixed number is 6 4/6, then this converts to the improper fraction 40/6. One can divide the numerator and denominator of 40/6 by 2 to find that 20/3 is the lowest form for the mixed number 6 4/6.To convert a mixed number to its lowest form, one needs to change the mixed number into an improper fraction and then reduce this improper fraction to the lowest possible fraction. To do these conversions, one needs to perform a few calculations. One also has to understand the definitions of "mixed number," "improper fraction" and "proper fraction."


996/1    


thats all i know  hope this helps

Is x = -3 a solution to the equation -3X^2=-27

Answers

Yes it is.

-3(-3)^2 = -27

-3(9) = -27

-27 = -27

x=-3
-3×x²=-27
-3×-3²=-27
3-×-9=-27
-27=-27
LHS=RHS

a new car that costs $22575 depreciates at a rate of 11% per year. The car's value can be modeled by the equation V(x)=22,575(0.89)x. evaluate the function over the domain (2,5,7) and interpet the results

Answers

Answer: The values of the function V(x) over the domain (2, 5, 7) are 17881.66, 12,606.01 and 9985.224.

Explanation:

The cost of car is $22575 and the value of car depreciate at a rate of 11% per year.

The value of car can be modeled by the equation,

[tex]V(x)=22,575(0.89)^x[/tex]

Where is number of years after purchase of car or the age of car. We have to find the value of the function over the domain (2,5,7), so put x=2,

[tex]V(x)=22,575(0.89)^2=17881.66[/tex]

It means the value of car will be $17881.66 after two years.

put x=5,

[tex]V(x)=22,575(0.89)^5=12,606.01[/tex]

It means the value of car will be $12,606.01 after five years.

put x=7,

[tex]V(x)=22,575(0.89)^7=9985.224[/tex]

It means the value of car will be $9985.224 after seven years.

Other Questions
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