What angles are coterminal to an angle measuring 2π3 or −11π7?

What Angles Are Coterminal To An Angle Measuring 23 Or 117?

Answers

Answer 1

By definition of coterminal angles, the angle 2π/3 has two coterminal angles: θ' = 14π/3 and θ' = - 4π/3. The angle - 11π/7 has no coterminal angles.

How to find coterminal angles

Two angles are coterminal when their terminal ends have the same direction. By the fact that two consecutive coterminal angles have a difference of 2π, we find the following definition:

θ' = θ ± 2π · i, i ∈ [tex]\mathbb{N}_{O}[/tex]     (1)

Now we proceed to determine the coterminal angles for each case:

a) θ = 2π/3

θ' = 14π/3, θ' = - 4π/3

b) θ = - 11π/7

There are no coterminal angles.

By definition of coterminal angles, the angle 2π/3 has two coterminal angles: θ' = 14π/3 and θ' = - 4π/3. The angle - 11π/7 has no coterminal angles.

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Related Questions

What is the third term of the sequence described by the following explicit formula? an = 9 + (n - 1)8

Answers

Answer: Solve for a: a = [tex]\frac{8n+1}{n}[/tex]

Solve for n: [tex]n=\frac{1}{a-8}[/tex]

Step-by-step explanation:

solve for n: Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

solve for a: Divide each term in an = 9 + (n−1) ⋅ 8 by n and simplify.

What is a possible value for the missing term of the geometric sequence?

54, ___, 1944, ...

Answers

Answer:

324

Step-by-step explanation:

The missing term in this geometric sequence is the geometric mean of 54 and 1944.

[tex] \sqrt{54 \times 1944} = \sqrt{104976} = 324[/tex]

Answer:

324

Step-by-step explanation:

The formula for the missing term in a geometric sequence is the square root of x times y.

3) If the speed limit on a highway in the UK is 70 miles per hour and
it is 120km per hour in Canada, which country has the higher speed
limit for highways? What is the difference between them?

Answers

Step-by-step explanation:

for this we need to know the conversion rate between miles and kilometers :

1 mile = 1.60934 km

which means

1 km = 0.621371 miles

so,

70 m/h = 70×1.60934 km/h = 112.6538 km/h

compared to the 120 km/h limit in Canada, it is clear that the speed limit in Canada is higher.

the difference is

7.3462 km/h = 7.3462×0.621371 = 4.56471564 m/h

The price of a camera is $ 9810 inclusive of sales tax. If the rate of sales tax is 9%, find the printed price of the camera.

Answers

Answer:

$8927.1

Step-by-step explanation:

printed price is the actual price without including tax price

tax price= 9/100×9810

tax price= 0.09×9810= $882.9

printed price of the camera= 9810-882.9= $8927.1

I don't understand can anyone help me pls

Answers

x = 8

180-140 = 40 so that’s ur central angle and the central angle always is the same as the arc

6x - 8 = 40

6x = 48

x = 8

What is the surface area of this figure?

Answers

Answer:

582 ft squared

Step-by-step explanation:

15*9*2 = 270

15*4*2 = 120

6*6*2 = 72

9*4*2 = 72

6*4*2 = 48

270 + 120 + 72 + 72 + 48 = 582

peter drove 1.5 hours at an average speed of 40 mph. He then drove for another 40km.
5 miles=8 kilometers
how far did peter drive?
give your answer in miles​

Answers

Answer:

john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. 

Step-by-step explanation:

The rule is 8,9 what is the 100th number

Answers

The hundredth number in the series as defined in the task content is; 107.

What is the 100th Number?

According to the task content;

The first term of the sequence of numbers is; 8 and evidently, the common difference of the sequence is; 9-8 = 1.

On this note it follows that the 100th number is;

T(100th). = 8 + 99(1) = 107.

Read more on terms in sequence;

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In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Smitha answered all questions and scored (-15) marks though he got 3 correct answers. How many incorrect answer had she attempted?
Any one help I will mark u as BRAINLIEST ANSWER if u help me plssssss! I will not accept wrong answer pls

Answers

Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

We can set up an equation that's essentially:

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

5. During a field trip, 168 students were
divided into 14 equal groups. How
many students were in each group?

Answers

Answer:

so, 168 divided by 14 = 12

Step-by-step explanation:

14 x 12 =168

Answer:

168÷14=12

12 multiplied by 14 is 168.

Cooper has a points card for a movie theater. • He receives 70 rewards points just for signing up. • He earns 8.5 points for each visit to the movie theater. • He needs at least 260 points for a free movie ticket. Which inequality can be used to determine v, the minimum number of visits Cooper needs to earn his first free movie ticket?

FIRST TO ANSWER CORRECTY WILL BE MARK AS BRILLIANT !!!!​

Answers

Answer:

The correct answer is 70+8.5V > 260

Step-by-step explanation:

The equation of this is that instead of getting 260 points instantly he can get to 23 movies and earn the points each visits. So

8.5x23+70=265.5

Hence the correct answer is C

if f(x)=7x-3, what is the value of x when f(x)=1

Answers

Set up your equation:
1 = 7x - 3

Add 3 to both sides:
7x = 4

Divide both sides by 7:
x = 4/7

Hope this helps!

Ryan and Patrick are eating together. They spent a total of
18 dollars on pizzas and calzones. Each pizza is 3 dollars
and each calzone is 2 dollars. They spent 2 minutes
eating each pizza and spent 5 minutes per calzone. It
took them 23 minutes to eat their food.
Help me

Answers

Answer:

Will you be my friend? please answer

Step-by-step explanation:

what do you need to find ?

the number of pizzas and calzones they were eating ?

if so :

p = number of pizzas

c = number of calzones

3p + 2c = 18

2p + 5c = 23

let's multiply the first equation by 2 and the second squadron by 3, and then subtract the second from the first :

6p + 4c = 36

- 6p + 15c = 69

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

0 -11c = - 33

c = 3

2p + 5c = 23

2p + 5×3 = 23

2p + 15 = 23

2p = 8

p = 4

so, they were eating 4 pizzas and 3 calzones.

a figure has 2 pairs of parallel sides, 2 pair of sides of equal length, and 4 right angles what quadrilateral best describes this figure

Answers

Probably a rectangle, since there are 2 pairs of sides with equal parallel lengths and 4 right angles.

A semi- circle has an area of 35cm . What is its diameter?

Answers

Answer:

Area Semicircle = 1/2 πr²

where

r radius of semicircle

→ ½ * 22/7 * r² = 35

→ 11/7 * r² = 35

→ r² = 35*7/11

→ r² = 245/11

→ r² = 22.77

→ r = √22.77

→ r = 4.77

Therefore,

Diameter = 2*4.77

= 9.54 cm

Select two values that can replace \square□\square to make the equation true. \square=5. 40

Answers

Answer and Explanation:

x= 5.04

so, as this is a multiple choice question, the two values are

A - five ones and forty thousands

and

C - (5x1) + (4 x 1/100)

and as they both equal 5.04 (the value of "x"), those two would be the correct answers out of the four options given, hope this helps!!

find the surface area of the figure. round to the nearest hundredth when necessary.

Answers

Answer:

in terms of pi: 112.5pi mm squared

substituting pi for 3.14: 353.25 mm squared

Step-by-step explanation:

Surface area cone equation:

Πr2 + π*r*s

4.5^2 = 20.25pi

400 + 20.25 = 420.25

sqrt(420.25) = 20.5

20.25pi + 92.25pi = 112.5pi

Roger is sixteen years old and eats granola bars. He attends P.R. Walker High School. In this example, is the independent variable.

Roger's age
Roger's school
Roger's diet

Answers

Answer:

Since the Independent variable is something that is modified or controlled in a scientific experiment, it is his age.

Question 9 of 30
Find the surface area of the polyhedron below. The area of each base is 65
cm-.
7 cm
cm
12 cm
cm
cm
Please help asap

Answers

Answer:

A

Step-by-step explanation:

12×4=48cm²

12×3=36cm²

12×2×2×2=96cm²

therefore is 270cm² + 65cm² + 65cm²

=370cm²

The function C(t)=100*e^-0.000121t describes how to find the percentage of carbon-14, C(t), remaining in an object after t years. According to this information, what was the percentage of carbon-14 remaining in an object after 55 years? (Round your answer to the nearest hundredth.)

Answers

Answer:

99.34 years

Explanation:

Given function:

[tex]\sf C(t)=100*e^{-0.000121t}[/tex]

Insert t = 55:

[tex]\sf C(55)=100*e^{-0.000121(55)}[/tex]

Simplify following:

[tex]\sf C(55)=99.3367[/tex]

Round to nearest hundredth:

[tex]\sf C(55)=99.34[/tex]

If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages?

Answers

Answer



64

Step-by-step explanation:

4 x 4 x 4
so it's like you take 4 and 3 stage = 4 x 4 x 4

Hope it helped !
Have a nice day studying ! Mark me as Brainliest too Ty !

17 of 3017 of 30 Questions




















































Question 1
Rectangle PQRS is graphed on the coordinate plane.


Part A

Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle P'Q'R'S' (not shown). What are the coordinates of point R'?

Answers

a) When rotating 90 degrees clockwise, (x,y) maps onto (-y,x), meaning R(6,-7) maps onto (7, 6).

answer Number 3 please

Answers

Answer:

It is reasonable

Step-by-step explanation:

23 degrees Fahrenheit converts directly to -5 degrees Celsius

a group of 12 people must pay $435 to rent a chalet. to have access to 3 canoes, they must also pay a rental fee of $15 per boat.
how much did each people had to pay?

Answers

Answer: Each person had to pay $40

Step-by-step explanation:

435 + 15*3

435+45 = 480

480/12 = 40

Each person had to pay $40

Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1/4 of a cup of red onions. If they have 1 1/2 cups of red onions, how many batches of salsa can they make

Answers

Answer:

6

Step-by-step explanation:

6 times 1/4 is equal to 6/4, which is 1 1/2 :)

1 1/2 divided by 1/4. When dividing fractions, KFC (Keep, Flip, Change).

1 1/2 = 3/2

3 • 4
- - =
2 1

12
— =
2

6

If a recipe requires 1/4 pounds of ground beef
to make 6 servings of chili, how many servings
can be made with 1 1/2 pounds of ground beef?

Answers

Answer:

36 servings

Step-by-step explanation:

1/4p = 6s

6(1/4p) = 6(6s)

1 1/2p = 36s

My age is twice what my age was 15 years ago . what was my age 15 years ago ?​

Answers

Answer:

two times less than your age is now

Help me on this math problem! DUE TONIGHT!! Please read the instructions so you can include all the answers needed!

Answers

Answer:

x=10, first angle is 107, second angle is 73

Step-by-step explanation:

170 over 360 simplify

Answers

Answer: 17/36

Step-by-step explanation:

The correct answer is 17/36

given the following exponential function identify whether the change represents growth or decay y= 56(0.91)^x

Answers

Answer:

Decay

Step-by-step explanation:

Any "r" value between 0 and 1 indicates an exponential function in decay. The "r" value is the one in the parentheses and raised to the exponent. In this case, the value is 0.91. This number falls within the "r" value boundaries of a decaying exponential function.

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