Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by five.

Answers

Answer 1

The given angle is π/5.

The coterminal angles differ from the given angle by 2π and -2π.
The lower coterminal angle is
[tex] \frac{ \pi }{5}-2 \pi = - \frac{9 \pi }{5} [/tex]
The higher coterminal angle is
[tex] \frac{ \pi }{5} +2 \pi = \frac{11 \pi }{5} [/tex]

Answer: [tex]- \frac{9 \pi }{5} . \, \frac{11 \pi }{5} [/tex]

Related Questions

What is the value of eight in 485,002,000

Answers

THE VALUE IS 80,000,000

The value of 8 in 485,002,000 would be 80,000,000.

A line has slope 2/3 and y–intercept −2. Which answer is the equation of the line? A) y=2x+2/3
B)y=−2x+2/3
C)y=2/3x−2
D)y=2/3x+2

Answers

Insert the given slope (2/3) and y-intercept (-2) into the slope-intercept form of the equation of a str. line:

y = mx + b => y = (2/3)x - 2 (answer)

The equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]

The correct answer is an option (C)

What is slope of the line?

"It is the change in y coordinate with respect to the change in x coordinate."

What s y-intercept?

"It is the point at which the line intersects the Y-axis."

What is slope-intercept form of line?

"y = mx + c, where m is the slope and cis the y-intercept."

For given question,

A line has slope 2/3 and y–intercept -2.

So, m = [tex]\frac{2}{3}[/tex] and c = -2

Substitute these value in the slope-intercept form of line,

[tex]\Rightarrow y = mx + c\\\\\Rightarrow y = \frac{2}{3}x+(-2)\\\\ \Rightarrow y = \frac{2}{3}x-2[/tex]

Therefore, the equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]

The correct answer is an option (C)

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find the x in the parallelogram there’s an x in the left corner and 73 degrees in the right bottom corner

Answers

Any two consecutive angles of a parallelogram are same side interior angles of parallel lines cut by a transversal, so they are supplementary.

Supplementary angles are two angles whose measures add up to 180 deg.

x + 73 = 180

x = 107

a chemist is using 364 millimeters of a solution of acid and water. if 16.8% of the solution is acid, how many millimeters of acid are there?

Answers

61.152 milliliters is the answer.

Two parallel lines are crossed by a transversal. What is the value of g? g = 75 g = 80 g = 100 g = 105

Answers

the answer is 105 because they are like the same thing and in sort of the same place just perpendicular from each other.

we know that

If the lines u and w are parallel

then

∠g=[tex]105\°[/tex] ------> by alternate exterior angle

therefore

the answer is

∠g=[tex]105\°[/tex]

A birthday celebration meal is $46.40 including tax,but not the tip.Find the total cost if a 15% tip is added to the cost of the meal.

Answers

$46.40 * .15=6.96
$46.40 +6.96= $53.36

well, first off let's find what 15% of the meal cost is anyway, so, what's 15% of 46.40?

if we take 46.40 as the 100%, well, let's check what is the 15% of that.

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 46.40&100\\ x&15 \end{array}\implies \cfrac{46.40}{x}=\cfrac{100}{15}\implies \cfrac{46.40\cdot 15}{100}=x[/tex]

so, the total cost is then, 46.40 + x.

solve for n
15=0.5n whats is n=

Answers

we know 15=0.5n
n=15/0.5
n=30

Write 7 over 8 as an equivalent fraction with 56 as a denominator

Answers

7/8 = ?/56
7 times 7 = 49
8 times 7 =56

The answer is 49/56

7/8= 49/56
8 x 7=56 for the denominator
7 x 7 =49 for the numerator

Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear?

Answers

c is the answer you want

Answer:

C (-1, 1/2, -3/5) is INCORRECT and I know it isn’t (1/3, -5/3, -2/5)...... but I’m pretty sure the answer is 1/2, 3, 5

Step-by-step explanation:

Which angles are corresponding angles?

Answers

The answer to this question is angles SRU and VUW
Hope this helps

Answer:

<SRU and <VUW

Step-by-step explanation:

Corresponding angles occur when two lines are cut by a third line (transverse line).

In the problem you can see two lines (QRS) and (TUV) cutting by (PRUW).

Two angles are corresponding if one is on the outside (outside the two lines) and the other is on the inside (between the two lines).

In this graphic some of the corresponding angles are <SRP and <VUP, <PRQ and <RUT, <WUV and <URS.

Write the following comparison as a ratio reduced to lowest terms.

153 inches to 12 feet

HELP!

Answers

Answer:

17:16

Step-by-step explanation:

12 ft = 144 inches, so this is

153 in : 144 in

= 9·17 : 9·16

= 17 : 16

Which lists the steps in the correct order to find the median of this data set? 24, 16, 23, 30, 18, 29 1. Put the numbers in order. 2. Cross off high/low pairs. 3. Add the leftover numbers. 4. Divide the sum by 2. 1. Put the numbers in order. 2. Cross of high/low pairs. 1. Cross off high/low pairs. 2. Add the leftover numbers. 3. Divide the sum by 2. 1. Cross of high/low pairs.

Answers

To find the median of an even-numbered data set, arrange the numbers in order, identify the two middle numbers, add them, and divide by two. The median for the given data set is 23.5.

To find the median of the data set (24, 16, 23, 30, 18, 29), follow these steps:

Put the numbers in order from smallest to largest.If the data set has an even number of values (like this one with 6 numbers), identify the two middle numbers.Add the two middle numbers together.Divide the sum by 2 to find the median.

Applying these steps to the provided data set:

Order: 16, 18, 23, 24, 29, 30Middle numbers: 23 and 24Sum of middle numbers: 23 + 24 = 47Median: 47 / 2 = 23.5

The correct median of this data set is 23.5.

Dan paid 34.30 for a sweater. The price included a 40% markup.

Answers

Multiply 34.30 by 1.4

actual price = paid price + discounted price
discounted price = paid price * 40%
so, actual price = 34.30 + 34.30*0.4

Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar sign, 10 from each of the subscribers to her website. Last month, the website had 100100100 subscribers. This month, 303030 new members joined the website, and 101010 members cancelled their subscription. How much money will Kiersten’s online business earn this month?

Answers

Answer:

1200

Step-by-step explanation:

Khan Academy

ur welcome

dab if you got it correct

*or you can rate me and give a thanks*

;)

Kiersten’s will earn 1200 dollars from his online business this month.

Given,

Subscription fees received by Kiersten for a month by each subscriber is $10.

Since the number of members is 100 last month, so total earning of Kiersten will be,

[tex]100\times 10=1000[/tex] dollars.

According to the question, this month, 30 new members joined the website, and 10 members cancelled their subscription.

So the number of members increased will be 20.

Hence the kiersten have total 120 members this month, so the total earning of kiersten this month will be,

[tex]120\times 10=1200[/tex] dollars.

Thus kiersten earn 1200 dollars from his online business.

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Latrell is packing boxes that can contain two types of items. Board games weigh 3 pounds and remote controlled cars weigh 1.5 pounds. The box can hold no more than 25 pounds.

Let x represent the number of board games. Let y represent the number of remote controlled cars.

Enter an inequality that represents the situation.

Answers

3x + 1.5 y < 25
hope this helps!

3x+1.5y≤25 X represents board games and each board game weighs 3 lbs (3x). Y represents remote controlled cars which each weigh 1.5 lbs (1.5y). The inequality sign (less than or equal to, ≤) is used because in total the amount of board games and remote controlled cars CANNOT exceed 25 lbs.

How to find the inverse of h(x) = 3/ -x - 2 List steps.

Answers

To find the inverse,

First, you would have to switch the domain and range. In other words, swap x and y:

h(x) = 3/ -x-2
y = 3/ -x-2
x = 3/ -y-2

Then, when you have this, simply solve for y:

x = 3/-y-2
x (-y-2) = 3/-y-2 (-y-2)
x(-y-2) /x= 3 /x
-y-2 = 3/x
-y = 3/x + 2
y = -3/x -2

So the inverse would be
h⁻¹(x)= -3/x -2

1. The top 1/8 of the runners advance to the finals for the track and field competition. What is the decimal value of the number? Show your work.

Answers

1/8=0.125

0.125
______
8 I 1.000
- 8
______
20
- 16
_______
40
- 40
_______
0

Answer:

Hence the number in decimal is:

0.125

Step-by-step explanation:

We are given that:

The top 1/8 of the runners advance to the finals for the track and field competition.

We are asked to find the decimal value of the number i.e. we have to represent 1/8 in the decimal value.

on dividing the number 1 ( which is in numerator) by 8 ( which is in denominator) we obtain:

[tex]\dfrac{1}{8}=0.125[/tex]

Hence the number in decimal is:

0.125

If m and n are integers is 6m^2+34n-18 an even integer?

Answers

For any integers m and n, [tex]$6m^2 + 34n - 18$[/tex] is always even Integer . One solution is [tex]$m = 1, n = 2$[/tex].

To determine if the expression [tex]$6m^2 + 34n - 18$[/tex] is an even integer for any integers m and n, let's analyze the terms.

The expression can be factored as [tex]$2(3m^2 + 17n - 9)$.[/tex] Since 2 is a factor of the expression, it implies that the entire expression is even. Therefore, for any integers m and n, [tex]$6m^2 + 34n - 18$[/tex] is an even integer.

Now, to find possible values for m and n that satisfy the condition, consider that [tex]$3m^2 + 17n - 9$[/tex] must be an integer. We can choose arbitrary values for m and n and verify that [tex]$3m^2 + 17n - 9$[/tex]is an integer. For example, let m = 1 and n = 2:

[tex]\[3(1)^2 + 17(2) - 9 = 3 + 34 - 9 = 28\][/tex]

Since 28 is an integer, m = 1 and n = 2 are valid solutions.

conclusion, any integers m and n will make [tex]$6m^2 + 34n - 18$[/tex]an even integer. One such solution is m = 1 and n = 2, and there are infinitely many other possible pairs of integers that satisfy this condition.

a class donated $3.5 in nickels and dimes. In all there were 45 coins. how many were there of each

Answers

So first, I would assume they all are nickels, to see how short of $3.50 we are.

So, 45 coins times the value of 5 cents would then be $2.25.

So that means we are 1.25 dollars short of 3.50 dollars.

If the dime is worth 5 cents more then the nickel is, we can just divide 1.25 by 5 cents to see how many extra 5 cents we need.

1.25/0.05 = 25

So therefore there were 25 dimes, and through that we can tell there were 20 nickels.

what is 437284237940 divided by 2 - 2 times 1 -3 +42 divided by 7989

Answers

The answer would be 27367895.7325

Is there a number that is exactly 3 more than its cube?

Answers

Yes, there are three of them. Two of them are complex.

They are the solutions to (x-x^3=3).

The exact value for the real solution is:
(sqrt(239)/(2*3^(3/2))-3/2)^(1/3)+1/(3*(sqrt(239)/(2*3^(3/2))-3/2)^(1/3))

Approximately, it is x=-1.67169988...

If you are expecting integers (which was not specified), then there is none.

For a given number X, its cube is written as X^3.

Here we want to see if we can find a number that is exactly 3 more than its cube, this means that:

[tex]X = X^3 + 3[/tex]

We will see that yes, there exists a number with this property.

Then we can try to solve this to find the number with that given property.

We can rewrite it as:

[tex]-X^3 + X - 3 = 0[/tex]

Now we can solve this for X, as the question asks about existence and not for the exact number, we can graph this the above function:

[tex]f(X) = -X^3 + X - 3[/tex]

And if it crosses the x-axis, then at some point we have:

[tex]f(X) = 0[/tex]

This would imply that there exists a real number that is 3 more than its cube.

The graph can be seen below, and we can see that it intersects the X-axis, then yes, there is a number that is exactly 3 more than its cube.

And by watching the graph, we can see that the number is:

[tex]X = -1.672[/tex]

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What are the coordinates of the vertex of the graph of f(x)=2|x−3| ? Enter your answer in the boxes.

Answers

notice f(x)=2|x−3| , what value of "x" makes that group 0? well, say if make x = 3, then we get |3 - 3| or 0... so 3 then.

[tex]\bf vertex~(h,k)\qquad f(x)=2|x-3|+0\implies f(x)=2|\stackrel{h}{\boxed{3}}-3|+\stackrel{k}{\boxed{0}}[/tex]

that puts the vertex at 3,0.

The vertex of the given function is [tex](3,0)[/tex].

Given:

The given function is [tex]f(x)=2|x-3|[/tex].

To find:

The coordinates of the vertex of the graph of [tex]f(x)[/tex].

Explanation:

The vertex form of an absolute function is:

[tex]f(x)=a|x-h|+k[/tex] ...(i)

Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.

We have,

[tex]f(x)=2|x-3|[/tex] ...(ii)

On comparing (i) and (ii), we get

[tex]h=3[/tex]

[tex]k=0[/tex]

Therefore, the vertex of the given function is [tex](3,0)[/tex].

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Which of the following illustrates the truth value of the given conditional statement? If ice is hot, then rain is wet.
F T → T
T T → T
T F → F
F F → T

Answers

If ice is hot(False) then rain is wet(true) = FT --> T

Answer: The correct option is (A) F T → T.

Step-by-step explanation: We are given to select the correct illustration of the truth value of the following conditional statement :

"If ice is hot, then rain is wet".

Let p : Ice is hot. This is a false statement.

And

q : rain is wet. This statement is true.

We know that

The statement "if p then q" is written as p ⇒ q.

Since p is false and q is true, so p ⇒ q will be true.

That is,

p q p ⇒ q

F T T

Thus, the correct illustration is F T → T.

Option (A) is CORRECT.

what is 150% of 128 ??

Answers

Well, OF in mathematics represents multiplication. And % means over 100. So basically, this question can be represented as
150/100 x 128
1.5 x 128
That will be 192
Hope I helped. Good luck

Why are percents used to compare ratios when the wholes are different

Answers

A percentage can be considered a fraction with a denominator of 100. 25% is 25/100, which can be simplified to 1/4. Similarly, 20% is 20/100, which simplifies to 1/5. Thus, 1/4 is comparable to 1/5 by comparing 25% to 20%.

The percent is used to compare the ratios when the wholes are different because it gives simple calculation.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The percent's are used to compare ratios when the wholes are different.

Now,

Let two ratios are,

⇒ 19/25 and 17/20

So, For compare we can find the percent of that ratios and simply by comparison we get the large and small ratio as;

⇒ 19/25 = 0.76 = 76%

⇒ 17/20 = 0.85 = 85%

Thus, The percent of ratio 17/20 is more than the percent of ratio 19/25.

So, The percent's are used to compare ratios when the wholes are different because it gives simple calculation and not to make denominator same.

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What is the distance between these two points on a number line?

–93 and 114
A.–207
B.–21
C.21
D.207

Answers

114 - (-93) = 207

answer
D.207

Well, subtract the two numbers. 114 - (-93) [because it says difference.] 114 - (-93) is 207. So, D is your answer.

Hope this helped! ☺♥

Which of these is the greatest value: 8/3, 2.28, 10/12, 0.199

Answers

8/3 would be your answer, hoped I helped!

8/3 is the greatest value among 8/3, 2.28, 10/12, and 0.199.

The greatest value to be determined among 8/3, 2.28, 10/12, and 0.199.

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole.

Here,
= 8/3, 2.28, 10/12, and 0.199.
= 2.66, 2.28 , 0.62 and 0.199
The greatest among the 2.66, 2.28, 0.62, and 0.199 is 2.66

Thus, 8/3 is the greatest value among 8/3, 2.28, 10/12, and 0.199.

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A gym charges a $20 sign-up fee plus $25 per month. You have a $120 gift card for the gym. When does the total spent on your gym membership exceed the amount of your gift card?

Answers

When does the total spent on your gym membership exceed the amount of your gift card is After 4 months

Given:

Sign-up fee = $20

Monthly fee = $25

Gift card = $120

Now let determine when does the total spent on gym membership exceed the amount gift card

Let x represent the number of months

Hence:

20 + 25x = 120

25x= 120-20

25x= 100

x=100/25

x=4

Inconclusion When does the total spent on your gym membership exceed the amount of your gift card is After 4 months.

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round 0.785 to the nearest hundredth.

Answers

Answer: 0.79
5 will always round up.

it is 78.5 because you have to think of the hundredth

A single ball is drawn from an urn containing 6 balls numbered 1 through 6. Find the probability that the ball choosen is as follows.

An even-numbered ball or an odd-numbered ball

Answers

Final answer:

The probability of drawing an even-numbered ball or an odd-numbered ball from the urn is 1.

Explanation:

To find the probability of drawing an even-numbered ball or an odd-numbered ball from an urn containing 6 balls numbered 1 through 6, we need to determine the total number of favorable outcomes and divide it by the total number of possible outcomes.

The total number of possible outcomes is 6, as there are 6 balls in the urn.

The favorable outcomes are the even-numbered balls (2, 4, 6) and the odd-numbered balls (1, 3, 5), which is a total of 6 balls.

Therefore, the probability of drawing an even-numbered ball or an odd-numbered ball is 6/6, which simplifies to 1.

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