what are the coterminal angles for an angle of 5 pi over 3 radians​

Answers

Answer 1

ANSWER

[tex] \frac{5\pi}{3} + 2\pi \: n[/tex]

EXPLANATION

Coterminal angles are angles that have the same terminal side in standard position.

We want find all angles that are coterminal with

[tex] \frac{5\pi}{3} \: \: radians[/tex]

We add or subtract multiples of 2π radians to this angle to obtain all angles that are coterminal with this angle.

The coterminal angles are:

[tex] \frac{5\pi}{3} + 2\pi \: n[/tex]

where n is an integer.

Answer 2

Answer:

-7 Pi/3, -Pi/3, 11 Pi/3

Step-by-step explanation:


Related Questions

Sally can complete a sales route​ by herself in 7 hours. James can do the same job in 9 hours. How long will it take them to do it working together?

Answers

Answer:

(4 days) is the homogeneous mixture

The reflection of a Quadrant II point is located in Quadrant I. Assuming no error was made, what kind of reflection occurred?

Answers

Answer:

Reflection against the y-axis

Step-by-step explanation:

What is the sum of the measures of the exterior angles of this triangle? Picture attached

Answers

Answer:

The sum of the exterior angles is 360 degrees.

1/x - 1/x-2 = 3 where x not equal to 0 and x not equal to 2

(Chapter 3 quadratic equation class 10)

Answers

Answer: The answer is no solution, since any number plugged into that equation wouldn't work out, because 1/x - 1/x cancels out itself, so therefore there is NO SOLUTION. :)

Step-by-step explanation:

The function f(x)=2x^2+3x+5, when evaluated, gives a value of 19. What is the functions input value?

Answers

For this case we have a function of the form [tex]y = f (x).[/tex]

Where:

[tex]f (x) = 2x ^ 2 + 3x + 5[/tex]

They tell us that the function has a value of 19, and we want to know the values of the input, that is:

[tex]2x ^ 2 + 3x + 5 = 19\\2x ^ 2 + 3x + 5-19 = 0\\2x ^ 2 + 3x-14 = 0[/tex]

We apply the formula of the resolvent:

[tex]a = 2\\b = 3\\c = -14[/tex]

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-3 \pm \sqrt {3 ^ 2-4 (2) (- 14)}} {2 (2)}\\x = \frac {-3 \pm \sqrt {9 + 112}} {4}\\x = \frac {-3 \pm \sqrt {121}} {4}\\x = \frac {-3 \pm11} {4}[/tex]

We have two roots:

[tex]x_ {1} = \frac {-3 + 11} {4} = \frac {8} {4} = 2\\x_ {2} = \frac {-3-11} {4} = \frac {-14} {4} = - \frac {7} {2}[/tex]

Answer:

The inputs of the function [tex]y = 19[/tex]are:

[tex]x_ {1} = 2\\x_ {2} = - \frac {7} {2}[/tex]

How do I solve this ?

Answers

Answer:

J 36

Step-by-step explanation:

AB = 9, BC = 12, and m∠B = 90°.  Since this is a right triangle, we can use Pythagorean theorem to find AC.

c² = a² + b²

c² = 9² + 12²

c = 15

So the perimeter is:

P = 9 + 12 + 15

P = 36

What is the rate of change and initial value for Neil’s business and write and equeation for it

Answers

It is 1/8 divided by 8

Answer: $50 per year, y = 50x + 1200

Step-by-step explanation:

The rate of change is the slope of the two coordinates (0, 1200) & (3, 1350). Note that 2005 is represented as 0 years since the company started and 2008 represents 3 years since the company started.  

Use the slope formula: [tex]\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{1350-1200}{3-0}=\dfrac{150}{3}=\$50 \text{ per year}[/tex]

To write the equation in slope-intercept form, input a point (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y

y - 1200 = 50(x - 0)

y - 1200 = 50x

          y = 50x + 1200 ; where x represents the number of years the

                                      company has been in business.

How many 2/3 ounces portions each of saffron can Lily get from the 4 2/3 ounces of saffron she bought at the Union Market?

Answers

Answer:

7

Step-by-step explanation:

4[tex]\frac{2}{3}[/tex] can be written as [tex]\frac{14}{3}[/tex]

number of [tex]\frac{2}{3}[/tex] portions = [tex]\frac{14}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

= [tex]\frac{14}{3}[/tex] x  [tex]\frac{3}{2}[/tex]

= [tex]\frac{14}{2}[/tex] = 7

Final answer:

Lily can get 7 portions of 2/3 ounces each from the 4 2/3 ounces of saffron she bought at the Union Market.

Explanation:

To calculate the number of 2/3 ounce portions that Lily can get from the 4 2/3 ounces of saffron she bought, we need to divide the total weight of saffron by the weight per portion. We can convert 4 2/3 to an improper fraction, which becomes 14/3. Next, we divide 14/3 by 2/3 to get the number of portions. Dividing fractions involves multiplying the first fraction by the reciprocal of the second. So, 14/3 ÷ 2/3 = 14/3 * 3/2 = (14 * 3) / (3 * 2) = 42/6 = 7 portions.

Learn more about calculating portions of saffron here:

https://brainly.com/question/33215354

#SPJ11

I need help please!

Answers

Answer:

0.0466

Step-by-step explanation:

For a random variable X which follows a binomial distribution:

[tex]n = 7\\p = 0.35[/tex]

Thus,

[tex]P(X=5)={7\choose5}(0.35)^5(1-0.35)^{7-5}\\P(X=5)={7\choose5}(0.35)^5(0.65)^{2}\\P(X=5)=0.0466[/tex]

What is the surface area of the sphere below?

Answers

Answer:

A) 64π units

Step-by-step explanation:

SA= 4πr squared

4*π*4 squared

4 squared = 16

16*4=64

64π

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

Here we are given that the radius of the sphere is given as

[tex]SA=4\pi\cdotr^{2}[/tex]

here we are given that the radius of the sphere r=4 . Hence in order to find the Surface Area of the sphere we substitute the value of r in the formula...

[tex]SA=4\pi\cdot4^{2}[/tex]

[tex]SA=4\pi\cdot16[/tex]

[tex]SA=64\pi[/tex]

Hence the surface area of the sphere is [tex]64\pi unit square[/tex]

if π/2 π and sin A = 4/5 , then tan A/2 =??

Answers

Answer: 2

Step-by-step explanation:

[tex]\text{If the angle is in Quadrant II and sin A }=\dfrac{4}{5}, \text{then cos A }=-\dfrac{3}{5}.\\use\ Pythagorean\ Theorem: x^2+4^2=5^2\implies x=3,\quad cos =\dfrac{x}{h}\\\\\\tan\bigg(\dfrac{A}{2}\bigg)=\dfrac{1-cosA}{sinA}\\\\\\.\qquad \qquad =\dfrac{1-(-\dfrac{3}{5})}{\dfrac{4}{5}}\\\\\\.\qquad \qquad =\dfrac{\dfrac{8}{5}}{\dfrac{4}{5}}\implies \dfrac{8}{5}\div\dfrac{4}{5}\implies \dfrac{8}{5}\times\dfrac{5}{4}=\dfrac{8}{4}=\large\boxed{2}[/tex]

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.

Answers

Among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.

The statement that is true of the domain

Given:

h(8) = 19

h(-2) = 2

Domain: -3 ≤ x ≤ 11

Range: 1 ≤ h(x) ≤ 25

A. h(2) = 16 - This value doesn't conflict with the range (1 ≤ h(x) ≤ 25) and fits within the given function's range and domain. It's a possible value for h(2) based on the constraints given.

B. h(8) = 21 - This contradicts the information provided (h(8) = 19).

C. f(13) = 18 - This option refers to a value outside the domain specified for h(x).

D. h(-3) = -1 - This value is outside the range provided for h(x) as the range starts from 1.

So, among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.

Given that a function, h, has a domain of -3≤ x≤ 11 and a range of 1≤ h(x)≤ 25 and that h(8)=19 and h(-2)=2 , select the statement that could be true for h. A h(2)=16 B. h(8)=21 C. f(13)=18 D. h(-3)=-1

Does the data set display exponential behavior?
X 1234
Y1234
Yes or no

Answers

Yes. Any number has exponent 1 we just don't write it. Take for example number 4.

[tex]4\Longleftrightarrow4^{1}[/tex]

Which means every number has exponential behaviour.

The answer is Yes.

Hope this helps.

r3t40

How many solutions are in 7( x+2)=7x-10

Answers

7(x + 2) = 7x - 10

7x + 14 = 7x - 10

let's recall the slope-intercept form, now, both equations on each side of the equals sign have the same slope, of 7, that is a flag that both equations are parallel.

their y-intercept is 14 and -10 respectively, however that just means that one is above the other, but since they're parallel they will never touch each other and any solutions is where the graphs intersect, and for parallel lines that never happens, thus no solutions.

sin210° = _____

a)-sin210°

b)-sin30°

c)sin(-210°)

d)sin30°

Answers

Answer:

Option B (-sin 30°)

Step-by-step explanation:

Sine function is one of the trigonometric functions. Sine function is regarded as an odd function, which means that f(-x) = - f(x). Also, sine function is positive in the first two quadrants and negative in the last two quadrants. 210° lies in the third quadrant since 210° is greater than 180°. Therefore, the basic angle or the reference angle of 210° is 210° - 180° = 30°. We already know that sin 30° = 0.5. This means that whenever the angle is between 180° and 360°, the output of the sine function is negative. Therefore, sin 210° = -0.5. Only answer B is the correct option since -sin 30° = -0.5.

One method of indirect measurement involves setting up a right triangle and measuring one of the

obligue angles
depression angles
elevation angles
acute angles

Answers

Answer:

Acute angles.

Step-by-step explanation:

This is called the shadow method to make an indirect measurement of an specific highness. For example, indirect measurement to calculate a building highness.

Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a minimum of 36 plants in his garden. Flowering plants sell for $8, and nonflowering plants sell for $5. Joey wants to purchase a combination of plants that minimizes cost. Let x represent the number of flowering plants and y represent the number of nonflowering plants.

Answers

(24, 12), (36, 0) hope this answer helps you

Answer:

Step-by-step explanation:

Set up two equations:

2y >/=x

X+y=36

Solve by substituting x for 2y.

This is using the method of substitution.

Which is equivalent?

Answers

Answer:

the answer is -8

Step-by-step explanation:

The answer is -8 I think

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.

Simplify Q - [R + S] - T.

10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
10m - 7n - 14

Answers

Answer:

Q - [R + S] - T = 10m + 5n - 24 ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The value of Q = 7m + 3n

- The value of R = 11 - 2m

- The value of S = n + 5

- The value of T = -m - 3n + 8

* To simplify Q - [R + S ] - T substitute the value of each letter in

  the expression

- Lets find R + S

∵ R = 11 - 2m

∵ S = n + 5

∴ R + S = 11 - 2m + n + 5 ⇒ coolect the like term

R + S = 16 - 2m + n

∵ Q = 7m + 3n

∵ T = -m - 3n + 8

- Lets simplify the rest of the expression

- Remember (-)(-) = + and (-)(+) = -

Q - [R + S] - T = (7m + 3n) - (16 - 2m + n) - (-m - 3n + 8)

∴ Q - [R + S] - T = 7m + 3n -16 + 2m - n + m + 3n - 8 ⇒ add like terms

∴ Q - [R + S] - T = (7m + 2m + m) + (3n - n + 3n) + (-16 - 8)

∴ Q - [R + S] - T = 10m + 5n - 24

Answer:

10m + 5n - 24

Step-by-step explanation:

Multiply.
(x-6)(4x + 3)

Answers

Answer:

Fully simplified it equals 4x^2 -21x -18

Explanation:

-You need to distribute the x to all of the terms in the second binomial and you also need to distribute -6 to all the terms in the second binommial giving you 4x^2 +3x - 24 -18

-You combine like terms to simplify and your answer is 4x^2 -21x -18

Answer: 4x² -21x -18

Step-by-step explanation: a p e x

Find AB using the given matrices.

Answers

The entry in row 1, column 1 of [tex]\mathbf{AB}[/tex] is

[tex]\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}5\\6\end{bmatrix}=2\cdot5+4\cdot6=34[/tex]

(i.e. the dot product of row 1 of [tex]\mathbf A[/tex] and column 1 of [tex]\mathbf B[/tex])

The entry in row 1, column 2 of [tex]\mathbf{AB}[/tex] is

[tex]\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}-9\\-4\end{bmatrix}=2\cdot(-9)+4\cdot(-4)=-34[/tex]

The second option is the correct answer.

Evaluate each expression if a=2, b=3 and c=4

A.) 2a+4b-c
B.) 6(a+c)-b

Answers

Answer:

Step-by-step explanation:

A.) 2a+4b-c:  Replacing a with 2, b with 3 and c with 4, we get:  

    2(2) + 4(3) - (4) = 4 + 12 - 4 = 12

B.) 6(a+c)-b:  Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.

The work inside parentheses should be done first, resulting in 6(6) - 3.

This comes out to 33.

Identify the type of transformation in the following graphic and describe the change.

Answers

Answer:

Translation, five units to the left.

Step-by-step explanation:

Point A is moved to the left to become A'.

Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.

This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).

Each point has moved five units to the left.

Step-by-step explanation:

Please mark brainliest and have a great day!

The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The graph is given below.

The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

Which of the following are geometric sequences

(check all that apply)


A.) 1, 1, 2, 3, 5, 8, 13

B.) 10,5, 2.5, 1.25, 0.625, 0.3125

C.) -9, -3, -1, -1/3, -1/9, -1/27

D.) 5, 10, 15, 20, 25

Answers

Answer:

B and C are geometric sequences.

Step-by-step explanation:

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

A is not a geometric sequence because the number 1 is repeated twice in the sequence.

B is a sequence because the sequence is being multiplied by 0.5 each time.

C is a geometric sequence because it is being multiplied by 1/3 each time.

D is not a geometric sequence because it is not being multiplied each time - it is increasing by +5 (arithmetic progression - not geometric).

Hope this helps!

The following are geometric sequences

1. 10,5, 2.5, 1.25, 0.625, 0.3125

2. -9, -3, -1, -1/3, -1/9, -1/27

The correct option is (B) & (C)

What is Geometric sequence?

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

1. A is not a geometric sequence because the '1'  is repeated two times in the sequence.

2. B is a geometric sequence because the sequence is being multiplied by 0.5 each time.

5/10=0.5

2.5/5=0.5

1.25/2.5=0.5

0.625/1.25=0.5

3. C is a geometric sequence because it is being multiplied by 1/3 each time.

-3/-9=1/3

-1/-3=1/3

-1/3/-1= 1/3

-1/9/-1/3= 1/3

4. D is not a geometric sequence because the multiplicative factor is not same.

Hence, 10,5, 2.5, 1.25, 0.625, 0.3125 and -9, -3, -1, -1/3, -1/9, -1/27 is geometric sequence.

Learn more about GP here:

https://brainly.com/question/11266123

#SPJ2

If you travel 1000 feet in 5 minutes, what is your speed per minutes

Answers

Answer:

So starting with:  

1000 ft / 5 min  

we need to convert minutes into seconds, then divide the above value into it to get knots (follow the labels so they cancel out)  

1000 ft / 5 min (1/60 min/sec) (1 kt / 1.68780986 ft/sec)  

1.974946 kt

Step-by-step explanation:

Please mark brainliest and have a great day!

The speed is the distance covered by an object at a particular time. Your speed is 200 feet per minute.

What is speed?

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given that you travel 1000 feet in 5 minutes. Therefore, your speed is,

Speed = 1000 feet / 5 minutes

Speed = 200 feet per minute

Hence, your speed is 200 feet per minute.

Learn more about Speed:

https://brainly.com/question/15100898

#SPJ2

UNUL ESCREView
Acuve
Planes s and Rboth intersect plane T.
Which statements are true based on the diagram? Check
all that apply.
O Planes contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane s at point C
O Planes Rand Tintersect at line y.

Answers

The line containing points A and B lies entirely in plane T.
Line z intersects plane S at point C.
Planes R and T intersect at line y

Find the median:
3, 5, 7, 4, 3, 1

Answers

Answer: 3.5

=========================================

Explanation:

Start by sorting the values from smallest to largest. This is known as ascending order. The original set {3, 5, 7, 4, 3, 1} will sort to {1, 3, 3, 4, 5, 7}

After the values are sorted, we will look at the middle most value to find the median. Because there are six items in this data set, the median number is between slot 3 and slot 4. Note how the sorted data set breaks down into

{1, 3, 3} and {4, 5, 7}

we see that 3 and 4 are tied for the middle most, so the median must be 3.5 which is halfway between 3 and 4.

Hello There!

Let’s first remember that the median is the middle number in an ordered set of data.

Our data set is

1,3,3,4,5,7

Since there are two numbers in the middle, we have to add up our two numbers in the middle which are 4 and 3 so together that gives us a sum of 7 and then we divide by 2 which we get a quotient of 3.5.

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model a sample of 2700 bacteria selected from this population reach the size of 2976 bacteria in 2 hours find hourly growth rate parameter

Answers

5% per hour
I am still guessing
Needs to be verified
Hope it helps a little bit

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?
10.6 cm
14.0 cm
15.0 cm
19.8 cm

Answers

Answer:

The approximate length of its diagonal is:

                                    19.8 cm

Step-by-step explanation:

We know that for any square with a side length of s units.

The diagonal of a square has length: [tex]\sqrt{2}s\ units[/tex]

Also, the perimeter of a square is the sum of all the side lengths of a square.

i.e.

[tex]Perimeter=4s[/tex]

Here we are given:

Perimeter of square= 56 cm.

i.e.

[tex]4s=56\\\\i.e.\\\\s=\dfrac{56}{4}\\\\i.e.\\\\s=14\ cm[/tex]

Hence, the diagonal of the square has length:

[tex]Diagonal=14\sqrt{2}\ units\\\\i.e.\\\\Diagonal=14\times 1.414\\\\i.e.\\\\Diagonal=19.796\ cm[/tex]

which is approximately equal to:  19.8 cm

Answer:

d.) on edg.

Step-by-step explanation:

just did it

good luck!

Which property is shown?

Answers

Answer:where is the question for the property

Step-by-step explanation:

Other Questions
The lines graphed below are parallel.the slope of the slope of red line is 2/5 .what is the slope of the green line Opps, forgot to link the picture, this is the real question. A boxer can punch a heavy bag for more than an hour without tiring, but will tire quickly when boxing with an opponent for a few minutes. Why? (Hint: When the boxer's fist is aimed at the bag, what supplies the impulse to stop the punches? When the boxer's fist is aimed at the opponent, what or who supplies the impulse to stop the punches that don't connect?) it costs Casey $52.50 to buy 14 gallons of gas. What was the cost per gallon of gas? Informal assessments are best described as A. planned, pre-made assessments developed for a specific purpose. B. scheduled observations used to gather data in preschool settings. C. unreliable observation that's only appropriate in infant and toddler settings. D. nonstandardized forms of assessment used to gather information on children's behaviors and characteristics 12 is 60%, percent of what number? Which of the following statements best characterizes changes to agriculture in the United States since 1900?A. Increased mechanization has reduced the need for labor.B. Increased mechanization has increased the need for water, thereby increasing the need for labor.Increased mechanization has increased the use of land, thereby increasing the need for labor.D. Increased mechanization has increased food production, thereby increasing the need for labor.Please select the best answer from the choices provided. Is the orthocenter of a triangle on the inside ? Hydrogenation reactions, in which H2 and an "unsaturated" organic compound combine, are used in the food, fuel, and polymer industries. In the simplest case, ethene (C2H4) and H2 form ethane (C2H6). If 140 kJ is given off per mole of C2H4 reacting, How much heat (in MJ) is released when 12 kg of C2H6 forms? 5. To comply with implementation requirements, shops must ensure that paint booth exhaust systems use ______ efficient spray booth filters. A)75% B)100% C)50% D)98% Proper etiquette is similar to having proper manners.TrueFalse an equation for a line in the plane allows you to find x- and y-coordinates of any point on that line true or false? Which of the following values have 3 significant figures? Check all that apply.A. 10.1B. 100.05C. 120D. 129 Religious beliefs of indigenous peoples of Oceania connected them to a community group sells 2000 tickets for its raffle. the grand prize is a car. neil and 9 of his friends buy 10 tickets each. when the winning number is announced, it is found to belong to neil's group. given the information, what is the probability that the ticket belongs to neil? what Ransomeware mean Geometry teacher Plz help me Which type of group leadership has a communication pattern that flows from the top down?AuthoritarianDemocraticLaissez-faireExpressive On what political idea did President Truman base the Marshall Plan?A) As prosperity in Europe increased, the threat of communism spreading would decrease.B) As peace throughout the world increased, the threat of another world war would decrease.C) As the power of capitalism increased in Europe, Stalin's power in the Soviet Union would decrease.D) As economic aid increased in Europe, the friendship of nations with the United States would increase. Eric wants to sell his car that he paid $7,000 for 3 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, which expression shows how much Eric can sell his car for today?A.7,000 3xB.7,000 + 3xC.7,000 36xD.7,000 + 36x Steam Workshop Downloader