What does 2π/3 equal and cos2π/3 equal?

Answers

Answer 1

Answer:

Step-by-step explanation:

2π/3 radians is equivalent to

  2π       180°

-------- * ---------- = 120°

    3        π rad

This angle (120°) is 30° past 90°.  The 'opposite side' of the triangle formed by this ray of length 1 is √3 and the 'adjacent side' is 1.  

                                                                 adj side          -1

cos 120° is in Quadrant II.  cos 120° = --------------- = ---------

                                                                       hyp             2

                         √3

and sin 120° = --------

                            2


Related Questions

what is a decimal that is equivalent to the fraction 45/100?

Answers

Answer:

0.45

Step-by-step explanation:

Step-by-step explanation

Answer:

0.45.

Step-by-step explanation:

Dividing 45 by 100 gives us 0.45.

Help plz !!!!!!!!!!!!!!

Answers

I think is C is the first one. B for the second. C for the third. and C again. I hope these are right! have a good day!

Im confused in the wording on this question can someone tell me how to solve it with clear steps

Answers

Answer:

G

Step-by-step explanation:

Answer:

G: The printer prints 3 fewer pages per minute in colored ink than in black ink.

Step-by-step explanation:

The answer is G because the relation between the two different print jobs can be seen in the "33t" and "30t" values. The relation is showing that when the printer prints in black, it prints 3 more pages per minute.

Aaron has 13 dimes and 10 quarters. Emily has the same amount of money as Aaron, but she only has nickels and dimes.
If Emily has 46 coins, how many nickels and dimes does she have?

Answers

Answer:

The answer

Step-by-step explanation:

16 nickels and 30 dimes

Give the following sequence for f(x) = 4x^2 - x , when x is -4, 1, 2
A. 68, 14, 3
B. 7, 14, 3
C. - 64, - 14, 3
D. 58, 14, 3

Answers

Answer:

A

Step-by-step explanation:

by putting the value of x

ans was A

Find the measure of angle x in the figure below.

Answers

180-126 equals 54 and 54+58 equals 102 and a triangle equals 180 so 180-102 equals 78 so ur answer is x=78

Which shows the list of numbers in order from least to greatest?

StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, –2, StartAbsoluteValue 3.5 EndAbsoluteValue
–2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue
–2, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue
–2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue
StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, –2, StartAbsoluteValue negative 4.2 EndAbsoluteValue

Answers

Answer:

Absolute value

Step-by-step explanation:

Answer:

Absolute value

A

Step-by-step explanation:

I got it right on edg

I don’t need any help with homework but i would like to thank you all for helping me survive this school year. Brainly has helped me sm <3 (posting this on mathematics bc that’s what i needed/got help most on)

Answers

Answer: Of course, your so welcome :)

Step-by-step explanation:

Yes of course this school was hard but hey we got trough it right. I even have been using this.Every student in my school is right now.

If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, in inches?

Pls help me its due in a hour :(

Answers

Answer:

50 inches

Step-by-step explanation:

30²+40² = c² (c²= diagnol)

900+ 1600 = √2500

√2500 = 50

This is also a pythagorean triple (30,40,50).

The answer is 50 inches

PLEASE HELP
Vectors u and v are graphed. Explain in detail each step necessary to find the angle between the two vectors and find the angle in degrees.

Answers

Answer:

Angle between vectors u and v: 26.56 degrees

Step-by-step explanation:

I just recently did this question, so here's my response and hopefully that helps you:

Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.

The explanation for determining the angle between the two vectors and find the angle in degrees should be explained below.

Steps for determining the angle:

Since

vector v is from (0,0) to ( -2,-1)

So,

[tex]\bar{v}=-2i-j[/tex]

Here, vector u is from (0,0) to (-3,-4)

So,

[tex]\bar{u}=-3i-j4[/tex]

Now here we used dot product concept

Now

[tex]\bar{u}.\bar{v}=|u|.|v|cos\theta\\ \bar{u}.\bar{v}=(-3i-4j).(-2i-j)=6+4=10\\ |u|=\sqrt{9+16}=5\\ |v|=\sqrt{4+1}=\sqrt{5}\\ cos\theta=10/(5*\sqrt5)=2/\sqrt5\\ \theta=cos^{-1}(2/\sqrt5)= 26.56^o[/tex]

Learn more about graph here: https://brainly.com/question/2111181

The ratio of the numbers of apples to bananas in a market bag is 6:11. There are 144 apples. How many bananas are there?​

Answers

Answer:

264 bananas

Step-by-step explanation:

11/6 = x/144

cross multiplicaion

6x = 11x144

6x = 1584

x = 265

         It males sense since 11 is almost double than 6

         264 is almost double than 144

It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed rounded to the nearest whole percent.

Answers

Answer: 28.8%

Step-by-step explanation:

First find out what her speed is:

Speed = Distance / Time

= 50 / 45

= 1.11 meters/second

Now her speed is:

= 50 / 35

= 1.43 meters/ second

The percentage increase in her speed is:

= (New speed - Old speed) / Old speed

= (1.43 - 1.11) / 1.11

= 0.288

= 28.8%

Matilda is practicing her marching band skills on the football field. she starts in the center if the field walks 80 feet south then 60 feet west how far is she from the center of the field where she started

Answers

Answer:

100 feet

Step-by-step explanation:

pythagorean theorm

60^2+80^2= 10,000

Square root of 10,000= 100

if the length is 18 inches and the width is 24 inches what's the area

Answers

Answer:

L x W = 432

Step-by-step explanation:

18 X 24 = 432

Your baby brother has an ear infection. The doctor said there are probably 50,000 bacteria in his left ear. The penicillin the doctor prescribed will kill 7% of the bacteria every hour. About how long will it take for there to be less than 25,000 bacteria?​

Answers

Answer:

Ok I'm not sure but (9 hours)

Step-by-step explanation:

50,000 divided by 25,000 = 7

7 plus 2 equals 9.

GIVING BRAInLY !!!!! Which expression shows the result of applying the distributive property to 3(1/5x-1/7)?
(A) -3/5x-3/7
(B) 3/5x-3/7
(C) 3/5x+3/7
(D) -3/5x+3/7

Answers

Answer:

B. 3/5x-3/7

Step-by-step explanation:

You multiply when applying the distributative property

3(1/5x-1/7)

3/5x-3/7 multiply 3 by each value in parentheses.

Multiply 3 by each fraction given.
1/5x times 3 = 3/5x
-1/7 times 3 = -3/7.
Answer = b when you put the two back together. Don’t forget about your negative sign when multiplying!!

How many boards 6in. Long can be cut from a board 2ft long

Answers

This is what I got I hope it helps

I need help with the ones I didn't do and did I do them right too?​

Answers

Answer:

1) 64

2) 8

3) 2187

4) 5[tex]x^{2}[/tex]

5) 4[tex]x^{2}[/tex]

6) 12[tex]n^{5}[/tex]

7) 9[tex]x^{2}[/tex]

8) [tex]p^{9}[/tex]

9) 27[tex]p^{12}[/tex]

10) [tex]\frac{4x}{3}[/tex]

11) 4b

12) [tex]\frac{1}{4a^{2} }[/tex]

Step-by-step explanation:

Answer:

refer to the attachment

PLEASEEEE HURRY 30 POINTS!!!!!!!

What is the total surface area of the solid?






A.1004.4


B.1114.4


C.1290.4


D.1466.4

Answers

The answer is C 12 90.4 is your answer

i need help with both plz help

Answers

Answer:

6a + (6 x 3) = 60

or

6a + 18 = 60

Step-by-step explanation:

You have 6 students who are assigned an unknown amount of problems. We can write it as 6x. Then each is given 3 more problems, so now we have 6x + (6 x 3). We also know that in all they have 60 problems.

Therefore, the equation is:

6x + 18 = 60

Then just solve

6x + 18 = 60

     - 18   -18

6x = 42

x = 7

Bao owns a small business selling used books. She knows that in the last week 20
customers paid cash, 26 customers used a debit card, and 13 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card as a percent to the nearest whole number.

Answers

Answer:

44% cahnce

Step-by-step explanation:

To solve this, add up all the customers. Then, divide the amount of debit card customers, by the total amount of customers. This will give you percentage of people who paid in debit, which is also the probability:

20+26+13

=

59

This is the amount of customers. Now we divide:

26/59

=

0.4406

Remember that to create percentage, you must multiply the decimal by 100:

0.4406*100

=

44.06%

The .06 is so small that it doesnt need to be kept in this percentage:

44%

So this is you answer!

Hope it helps! :)

Answer:

Step-by-step explanation:

3+3=6

answer overall is 28

Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22, ... d =?​

Answers

Answer:  d = -8

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

Explanation:

Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.

term2 - term1 = 2-10 = -8term3 - term2 = -6-2 = -8term4 - term3 = -14-(-6) = -14+6 = -8term5 - term4 = -22-(-14) = -22+14 = -8

We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.

Note how:

10-8 = 22-8 = -6-6-8 = -14-14-8 = -22

I really need help with this, it's my last question. Please help!

Answers

Answer:

The measure of Angle M = 74.8°

Step-by-step explanation:

Cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos(x) = [tex]\frac{26}{99}[/tex]

x = Cos⁻¹([tex]\frac{26}{99}[/tex])

x = 74.8°

So the measure of Angle M = 74.8°

Hope this helps!

Answer:

Trigonometry

since we have the adjacent and the hypotenuse we use CAH .We are looking for the angle we take the cos inverse

cos x = A

H

cos x = 26

99

x = cos -1 (26 ÷ 99)

x = 74.77404748

x= 74.8

Which equation represents a line that passes through (4, 5) and has a slope of 3/4 ?
Oy-- (x - 4)
Oy-} = (x-4)
O y = 4(x - 2)
O y - 4 =

Answers

y = 3/4x +b
5= 3/4*4 + b
5=3+b
b=2
y=3/4x+2

The equation of line is y = ( 3/4 )x + 2 and the slope is m = 3/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 3/4

And , equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 5 = ( 3/4 ) ( x - 4 )

y - 5 = ( 3/4 )x - 3

Adding 5 on both sides , we get

y = ( 3/4 )x + 2

Hence , the equation of line is y = ( 3/4 )x + 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block

Answers

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

help pleaseeeeeeeeeeeew!!!!

Answers

You substitute the x and the y values from the coordinates into the equation (y=6x-2) and solve for y. Make sure whatever you do to one side of the equation you do to the other side. Simplify until your left with y= some number.

I need sum help legit answers ONLY!!! also sho word pls IM GIVIN MAX PTS N BRANLIEST

Answers

Answer:

Ok so I see 34 as the dynamotor (I think that is how you spell it lol) and 27 as the height 3.14 as PIE would be for the radios divide 34 and you get 17 therefore 17 times 27 is 578 divide that by PIE aka * 3.14 you get 184 I believe this is correct.

Step-by-step explanation:

The given cylindrical

to fill the rectangular prism fish tank with water.

8 inches

24 inches

6 inches

12 inches

24 inches

What is the least number of full cylindrical containers needed to completely fill the fish tank?

Enter your answer in the box.

containers

Answers

Answer:

30.54

Step-by-step explanation:

Here is the complete question used in answering this question

he given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12 inches with water. What is the least number of full cylindrical needed to completely fill the fish tank?

Number of cylinders needed = volume of prism / volume of cylinder

volume of prism = width x height x length = 24 x 24 x 12 = 6912

volume of a cylinder = nr^2h

n = 22/7

r = radius

(22/7) x (3^2) x 8 = 226.29

6912 / 226.29= 30.54

WILL GIVE BRAINLIEST! HELP ASAP!

The solution to an inequality is x < 3.5. Which of the following statements and graphs are true? Select all that apply.

Answers

Answer:

any nuber less then 3.5  and 5th awnser

Step-by-step explanation:

x is less then 3.5 so any    number less then 3.5

5th one is true too because you can go into negitves  and tehre is are infanite negitives

Answer:

The following statements and graphs are true:

x < 3.5

Any number that is less than 3.5 is a solution.

There are an infinite number of solutions.

The statement "x ≤ 3.5" is not true because the original inequality states that x is strictly less than 3.5, not less than or equal to 3.5. The statement "Any number that is greater than 3.5 is a solution" is also not true for the same reason. Finally, 3.5 is not a solution to the inequality because the inequality is strict: it only includes values of x that are strictly less than 3.5.

________________________________________________________

What is the difference between strict and non-strict inequalities?

The difference between strict and non-strict inequalities is that strict inequalities use "<" or ">" symbols, which exclude the boundary values, while non-strict inequalities use "≤" or "≥" symbols, which include the boundary values.

For example, the inequality x < 5 is a strict inequality, which means that x can be any number less than 5, but it cannot be 5 itself. On the other hand, the inequality x ≤ 5 is a non-strict inequality, which means that x can be any number less than or equal to 5.

Similarly, the inequality y > -3 is a strict inequality, which means that y can be any number greater than -3, but it cannot be -3 itself. The inequality y ≥ -3 is a non-strict inequality, which means that y can be any number greater than or equal to -3.

What are some real-life applications of inequalities, and how are they used in various fields of study?

Inequalities are used in a variety of real-life applications, including:

Business and economics: Inequalities are used to represent constraints in optimization problems, such as maximizing profits subject to resource limitations.

Engineering and physics: Inequalities are used to represent physical constraints, such as maximum and minimum values for quantities like speed, acceleration, and force.

Health and social sciences: Inequalities are used to represent inequalities in health outcomes and access to healthcare, as well as social inequalities related to income, education, and other factors.

Computer science and optimization: Inequalities are used to represent constraints in optimization problems, such as scheduling, routing, and allocation of resources.

Probability and statistics: Inequalities are used to bound the probability of events and to represent relationships between random variables.

Inequalities are also used in various fields of mathematics, including algebra, geometry, and analysis. They are important tools for proving theorems and solving problems in these areas.

Please help I need it now!

Answers

Answer: 40,000

Step-by-step explanation:

First 6 years: 5,000 + 5,000 = 10,000

Second 6 years: 10,000 + 10,000 = 20,000

Third 6 years: 20,000 + 20,000 = 40,000

Hope this helps!

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