What is the exact value of cot pi/3?​

Answers

Answer 1
1√3
The exact value of cot(π3) cot ( π 3 ) is 1√3 .
Answer 2

The exact value of the given trigonometric function cot(π/3) is √3/3.

What is the cotangent (cot)?

The cotangent (cot) of an angle is defined as the ratio of the adjacent side to the opposite side of a right triangle.

Here, given that an angle of π/3, which is not a right angle.

So, we need to use the trigonometric identities to find the value of cot(π/3).

cot(θ) = 1/tan(θ)

where θ is an angle in radians.

We know that the tangent of π/3 is √3, as this is the opposite side (which is the same as the sine) divided by the adjacent side (which is the same as the cosine) of a 30-60-90 right triangle.

So, cot(π/3) can be expressed as:

cot(π/3) = 1/tan(π/3)

= 1/√3

Multiplying the numerator and denominator by √3/√3, we get:

cot(π/3) = √3/3

Therefore, the exact value of cot(π/3) is √3/3.

Learn more about Trigonometric functions here:

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Related Questions

Yesterday you walked 2 7/10 miles on your treadmill. Today you walked 1 6/10 miles. How far did you walk in these two days? Also I need an answer that looks like this 3 4/5

Answers

Answer:

The answer is 4 3/10

Step-by-step explanation:

If you first break this question up into two steps, you first must add the whole numbers and then the fractions, like this:

2 7/10   1 6/10

First, add the whole numbers [Bold]

2 + 1

That equals the whole number 3

2 7/10    1 6/10

Next you add the fractions [Underlined]

7/10 + 6/10

this equals 13/10

Since this fraction is higher than 10/10, it equals a whole number too. This fraction, 13/10, will be simplified to 1 whole and 3/10. After simplifying this number you add the whole numbers once again resulting in 3 + 1, giving you 4. after finding this out you add your fractions back in, creating the answer of 4 3/10.

Hope this helps you out!

Is this table proportional?

Answers

Answer:

yes it is

Step-by-step explanation:

pls give brainlest almost lvled up

Answer:

I believe that this is not.

It is not proportional.

Please help ASAP! The best answer get brainliest!!

Answers

Answer:

1. A

2. B

Hopefully this is right.

Can i have brainliest?

If tanx =√24 and cosx =−2√23, find sinx.

Answers

Answer:

Step-by-step explanation:

sin(x)=cos(x) × tan(x)

=(-2√23)×(√24)

=(-2√23)×(2√6)

=(-4√138)

=(-4(2√(3×23)))

=(-8√69)

we need help . we think we got it but were not sure ​

Answers

Answer:

your right

Step-by-step explanation:

13.5/3= 4.5 4.5x10= 450 The original price is 450 dollars
4.5=10%
315= 70%
You paid 315 dollars

Explain why sine of an angle greater than 180° and less than 360° is negative.

Answers

9514 1404 393

Explanation:

The sine of an angle in standard position is the y-coordinate of the intersection of its terminal ray with the unit circle. When the angle is in the range 180° < θ < 360°, that point of intersection is in quadrant III or IV, where y-coordinates are negative.

__

Alternative explanation:

That is where the sine curve is below the x-axis.

3-6(1 +n)
I don’t need the variable solve

Answers

Answer:

-6n -3

Step-by-step explanation:

I'm assuming that if you don't need the variable solved, then you need it converted? here's another form.

A robot can complete 8 tasks in
3 and a fourth hour. Each task takes the same amount of time.

Answers

Answer:

5/6 hour = 5/6 × 60 = 300/6 = 50 minutes

8 tasks in 50 minutes

1 task = 50/8 = 6 1/4 minutes

a. robot completes task in 6 1/4 minutes

b. #tasks per hour =

#of tasks × time takes to do task < or = 60

n × 6.25 = 60

6.25n = 60.

n= 60/6.25 = 9.6

robot can complete 9 tasks in one hour

Step-by-step explanation:

Devansh buys a house for $189,900. The tax rate is 7.5%. How much was the tax on the home?

Answers

The tax should be $14242.5

Answer:

Answer should be $4242.5

Step-by-step explanation:

Im doing the same thing

What is the probability that the winner of the race (the fastest one of the four runners) will come from Team 2?

Answers

Answer:

B what is the probability that the winner of the race ... that the winner of the race (the fastest one of the four runners) will come from Team 1? ... Setting λ 1 = 19 / 90 and λ 2 = 5 / 24 we have, P ( X 1 < X 2 ) = Z ∞ 0 Z ∞ x 1 f X 1 ( x 1 ) f X 2 ( x 2 ) ...

Step-by-step explanation:

hope this helps

What are the values of x and y in the following system of equations?

[tex]x+y=15[/tex]
[tex]y-x=5[/tex]

Answers

Step-by-step explanation:

By elimination method,

x+y=15

-x+y=5

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

2y=20

i.e y=10

Now,

x+y=15

or, x+10=15

or, x=5

Find each percent decrease. round to the nearest percent. from $16 to $4​

Answers

Answer:

I think the answer would be 40%

Step-by-step explanation:

U would do 16 divided by 4 and get 4 and a 0 then bam I have ur answe.

What are the solutions to the quadratic equation below? X^2-8x+16

Answers

(₋4)²

how i got it -

1st i used the sum-product pattern

x² - 8x + 16

x² -4-4+16

then, found the common fact from the two pairs

x² - 4 - 4 + 16

(-4) - 4(-4)

rewrite in factored form

(x-4)-4(-4)

(-4) (-4)

combine to a square

(-4) (-4)

Answer:

x=4*

Step-by-step explanation:

*THIS IS ASSUMING THAT THIS EQUATION IS EQUAL TO ZERO

X^2-8x+16=0

Let's solve this equation by factoring. First, we need to find factors of 16 that add to -8. We find that those factors are -4 and -4. X^2 is simply x times x.

Therefore, when it is factored It should look like this:

(x-4)(x-4)=0

Now we take both factors and set them equal to zero:

x-4=0; x-4=0

In both of these equations we just need to add 4 to both sides.

x=4; x=4

x=4

HTH :)

Simplify the expression.
(5)10 - (5)13
O-15
O-3
O 115
O2

Answers

Answer:

-15 is a answere

Step-by-step explanation:

According to BODMAS(bracket of Division Multiplication Addition Sutraction) rule

5*10-5*13

50-65

-15

Use the information to answer the following questions. The angle measures of a triangle are shown. Angle A: (5x – 5) degrees Angle B: (3x + 3) degrees Angle C: (5x) degrees What expression can be written to represent the sum of the angle measures?

Answers

Answer:

5x-5+3x+3+5x=180

Step-by-step explanation:

As it is a triangle, sum of all angles is 180.

5x-5+3x+3+5x=180

13x=182, x=14

The expression that represents the measure sum of the angle is

(5x – 5)° + (3x + 3)° +  (5x)° = 180°.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We also know that sum of all the interior angles of a triangle is 180°.

The given statement can be written as,

∠A + ∠B + ∠C  = 180°.

(5x – 5)° + (3x + 3)° +  (5x)° = 180°.

13x - 2° = 180°.

13x = 180° + 2°.

13x = 182°.

x = 14°.

We can also find the measure of each angle now by substituting the value of x in ∠A, ∠B, and ∠C.

learn more about triangles here :

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Geometry
> B.9 Midpoint formula: find the midpoint 2YG
S(8, 8) and T(4, 10) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M =

Answers

Answer:

The midpoint (x,y)=(6,9)

Step-by-step explanation:

We need to find midpoints(x,y) of the line segment having endpoints S(8, 8) and T(4, 10)

The formula to find midpoint is:

[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\[/tex]

We are given: [tex]x_1=8, y_1=8, x_2=4 , y_2=10[/tex]

Putting values and finding midpoint

[tex]Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint(x,y)=(\frac{8+4}{2},\frac{8+10}{2})\\Midpoint(x,y)=(\frac{12}{2},\frac{18}{2})\\Midpoint(x,y)=(6,9)[/tex]

So, the midpoint (x,y)=(6,9)

jshsmsnsksskjs landmarks sksnsn

Answers

Answer:

sknsonsknsknsknskdnksndksn?

If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN

Answers

Answer:

68

Step-by-step explanation:

LM   +    MN     =   LN

x + 7  + 3x + 20 = 6x - 5

           4x + 27 = 6x - 5

          -4x         -4x      

                   27 = 2x - 5

                    +5        +5

                   32  = 2x

                   ÷2   ÷2    

                    16 = x

MN: 3x + 20

      3(16) + 20

        48   + 20

              68

Solve for u: 2(u + 6) - 8 > 3(u - 5)

Answers

Answer:

19

Step-by-step explanation:

First get rid of the brackets:

[tex]2u + 12 - 8 > 3u - 15[/tex]

Then simplify:

[tex]2u + 4 > 3u - 15[/tex]

Get all the u's on one side:

[tex]2u - 3u > - 15 - 4[/tex]

Simplify and find u:

[tex] - u > - 19[/tex]

[tex]u < 19[/tex]

Each letter of the word BANANA is written on a card. Find each probability if you pick two cards without replacing the first. Assume that you get the letter you want when you draw.



4. P (B and then A)





5. P (N and then N)





6. P (B and then a B

Answers

Answer:

5

Step-by-step explanation:

There answer would be 5

HURRY WILL GIVE BRAINLIEST

Given: ABCD is a parallelogram.
Prove: AB CD and BC DA
Angles Segments Triangles Statements Reasons

Please make the answer clear

Answers

Drawing the diagonal [tex]\overline {AC}[/tex] of the parallelogram makes the proof of the

congruency of opposite sides of a parallelogram clearer.

[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] and [tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] by ASA rule of congruency

Reasons:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                                 Reasons

ABCD is a parallelogram  [tex]{}[/tex]        Given

∠BAC ≅ ∠DCA  [tex]{}[/tex]                        Alternate interior angles theorem

∠BCA ≅ ∠DAC  [tex]{}[/tex]                        Alternate interior angles theorem

[tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex]   [tex]{}[/tex]                                 Reflexive property

ΔABC ≅ ΔACD    [tex]{}[/tex]                       ASA rule of congruency

[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                 CPCTC

[tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex]   [tex]{}[/tex]                                 CPCTC

Therefore, segment [tex]\overline {AB}[/tex] and segment [tex]\overline {CB}[/tex]  in ΔABC are congruent to

segment [tex]\overline {CD}[/tex] and segment [tex]\overline {DA}[/tex] in ΔACD by Angle-Side-Angle, ASA, rule of

congruency.

CPCTC stands for Congruent Part of Congruent Triangle are Congruent

Learn more here:

a temperature of 0 degrees Celsius:

a temperature of 8.5 degrees Celsius above zero:

a temperature of 7 degrees Celsius below zero:

100 points

Answers

Answer:

mark on the 0, on the 7, and half way past 8

hope this helps, pls give brainliest

Step-by-step explanation:

HELP FAST! MULTIPLE CHOICE! SHOW A LITTLE WORK! PLEASE FAST I HAVE 3 MINUTES

Answers

Answer:

I think it's C

If one (1) tablespoon equals three (3) teaspoons, how many tablespoons are in 13 teaspoons?

a.2 2/3 tablespoons
b.4 1/2 tablespoons
c.3 1/3 tablespoons
d.4 1/3 tablespoons

Answers

D. 4 1/3 tablespoons

Evaluate f(-2) for the function f(x)= -1/2x^2 + x + 1

Answers

Answer:

f(-2) = -3

Step-by-step explanation:

[tex]f(x)=-\frac{1}{2} x^{2} +x+1[/tex]

Just plug in x = -2

[tex]f(-2)=-\frac{1}{2} (-2)^{2} -2+1[/tex]

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

4 can be rewritten as [tex]\frac{4}{1}[/tex] or [tex]\frac{8}{2}[/tex] so it has a common denominator.

[tex]f(-2)=-\frac{1}{2} * \frac{8}{2} -1[/tex]

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

[tex]f(-2)=-2-1[/tex]

[tex]f(-2)=-3[/tex]

HELPPPPPP ILL GIVE BRAINLIEST!!!!

Answers

Answer: a

Step-by-step explanation:

Match the vocabulary to the proper definition.
1. a number that divides evenly into a given number

2. expressions, equations, and operations involving variables

3. the bottom part of a fraction, represents the whole

4.
a fraction with a numerator that is larger than or equal to the denominator

5. the number in an algebraic term improper fraction

ANSWERS:
1. Factor
2. Algebraic
3. Denominator
4. Improper Fraction
5. Coefficient

Answers

Answer:

Step-by-step explanation:

1). A number that divides evenly into a given number  - Factor

2. Expressions, equations, and operations involving variables  -Algebraic

3. The bottom part of a fraction - Denominator

4. A fraction with a numerator that is larger than or equal to the denominator - Improper fraction

5. The number in an algebraic term  - Coefficient

Answer:

1. Factor

2.Algebraic

3. Denominator

4. Improper fraction

5. Coefficient

Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown
below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below.
He also knows that E is 50 m from the side AB and 30 m from the side BC.
Determine the length of AE, the length of DE, and the perimeter of pentagon
ABCDE.
**Please answer ASAP**
***I'm new so I don't have a lot of points. Still please answer the question.***

Answers

Answer:

560

Step-by-step explanation:

thatis the right answer

Write this expression using exponents

Answers

Answer:

[tex]4p^{2}[/tex] or 4p^2

Step-by-step explanation:

Combine like terms:

4 x 4 and p x p

4^2 and p^2

4p^2

Read the excerpt from The Call of the Wild.

Then an old wolf, gaunt and battle-scarred, came forward. Buck writhed his lips into the preliminary of a snarl, but sniffed noses with him, Whereupon the old wolf sat down, pointed nose at the moon, and broke out the long wolf howl. The others sat down and howled. And now the call came to Buck in unmistakable accents. He, too, sat down and howled. This over, he came out of his angle and the pack crowded around him, sniffing in half-friendly, half-savage manner. The leaders lifted the yelp of the pack and sprang away into the woods. The wolves swung in behind, yelping in chorus. And Buck ran with them, side by side with the wild brother, yelping as he ran.

Which theme does this passage illustrate?

A good leader is strong and intelligent and treats his followers well.
Only the strong survive in the wilderness.
The only way to learn something is to try it.
The desire to fight for power is an instinct.

Answers

Answer:

The passage is centered on the theme of belonging in a certain pack or group. Buck may be a bit different from the others but as Buck tried to be like them and did what they usually do, it gathered the trust of the pack especially the leaders. To belong in a group, one should gain their trust.

Step-by-step explanation:

Answer

A

Step-by-step explanation:

Other Questions
WILL GIVE BRAINIEST AND 20 POINTS!!! SEARCH UP THE BOOK THE SCHOLARSHIP JACKET AND ANSWER THE FOLLING QUESTION:WHAT THREE CHARACTERISITICS WOULD YOU USE TO DESCRIBE MARTHAS CHARACTER? USE EVIDENCE FROM THE TEXT TO SUPPORT UR ANSWERS It costs $11 for $15 granola bars.What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?pls answer i need it Response:Do you agree with Foucault? Are prisons only for theneeds of the ruling class? Is surveillance ALWAYS opposed to freedom? You found the money in my boots? he asked Mom. Martin did, she answered, and roused herself to scold. Grandpa, you shouldnt have carried so much money. What if someone had stolen it from you? Grandpa laughed. I wouldve known if anyone tried to take the boots off my feet. The money is what Ive saved for a long timea hundred dollarsfor my funeral. But you take it now to buy groceries so that I wont be a burden to you while I am here. Which statement is best supported by the dialogue? Grandpa is upset because they removed the money from his boots. Grandpa believes that it is time to begin preparing for his death. Mom offends Grandpa when she scolds him about the money. Mom is angry that Grandpa came to her home uninvited. 51. 16 . 50 200 Select the correct answer.A/An _____ is scored each time a player successfully gets around all four bases and touches home plate without being put out..A. OutB. RunC. OffenseD. Defense Which length is equivalent to 12 yards?A. 4 ft.B. 9 ft.C. 15 ft.D. 36 ft.Thx They both advised me to run away to the north; that I should find friends there, and that I should be free. I pretended not to be interested in what they said, and treated them as if I did not understand them; for I feared they might be treacherous. White men have been known to encourage slaves to escape, and then, to get the reward, catch them and return them to their masters. I nevertheless remembered their advice, and from that time I resolved to run away. In the above excerpt, which words best establish immediacy? A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy? 1. An object carries a charge of q = +4x10-8C.How many electrons are needed to make it elec-trically neutral? A share of common stock has just paid a dividend of $2.00. If the expected long-run growth rate for this stock is 15 percent, and if equity investors require a 19 percent rate of return, what is the fair price of the stock How were the Latin America colonies different from the American colonies? State your position on Christianity and world relegionIn 12 Sentence Why was Herbert Hoovers response to the initial months of the Great Depression so limited in scope? If one postage stamp costs $0.85, how much does a book of 25 stamps cost? Ok I'm so confused right now, in math we're doing this thing that has to do with percentages (here's an example question: What is 72% of 56?) and I just don't get it. I'm hoping that someone on here can help me out. 2. Mr. Richards has had a stroke that damaged some of thetissue on the left side of his brain and paralyzed his rightarm. He doesn't understand why his right arm is paralyzedwhen the neurologist told him the stroke was on the leftside of his brain, and he feels sure his neurologist is wrong.If you were his nurse or therapist, how would you explainthis to him in simple, lay terms? please help. i give brainliest ti correct answer What best defines an extensive property of a substance? Lauren predicts she will take 129 photos during vacation. If Lauren actually takes 111 photos, what is Lauren's percent error? Round your answer to the nearest tenth.