1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Korolek [52]
2 years ago
6

3tanx3x=3 square rooted​

Mathematics
1 answer:
torisob [31]2 years ago
6 0

Answer:

\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.

Step-by-step explanation:

tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\

where~x~is~an~integer.

You might be interested in
The graph shows the amount of rainfall in a town in July over a
Rus_ich [418]

Answer:30%

Step-by-step explanation:

4 0
3 years ago
Are the irrational numbers closed under addition?
Arte-miy333 [17]

Answer:

Irrational numbers are not closed under addition.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be expressed in the form of a fraction \frac{x}{y}. In other words we can say that irrational number,s decimal expantion does not cease to end.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

4 0
3 years ago
Did I get this right plz be honest if i fail this i will fail this class
anyanavicka [17]

Step-by-step explanation:

Part A

A) The denominator is 665, so this is a terminating decimal.

B) 11/99 = 1/9 = 0.1111...

C) 256/999 = 0.256256256...

D) 25/909 = 275/9999 = 0.027502750275...

B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits.  So the correct answer is C.

Part B

A decimal that can be written as a ratio of integers is a rational number.

6 0
3 years ago
Please answer quick! I've been stuck on this one a bit, I keep getting the wrong answer. (I'm not the best at math so maybe ya'l
g100num [7]

Answer:

x= 5.6

Step-by-step explanation:

Basically, if you do 7÷5 it would equal 1.4 so you would have to multiply 4x1.4 which would equal 5.6.

In conclusion 4/7 = 5.6/5

8 0
3 years ago
Read 2 more answers
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
3 years ago
Other questions:
  • Over which interval is the graph of f(x) = 1/2x^2+ 5x +<br> 6 increasing?
    10·1 answer
  • How to write a standard form equation with an undefined slope?
    5·1 answer
  • The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
    13·2 answers
  • A bag holds 1 blue block and 3 yellow blocks. How many green blocks should be added to the bag to make the probability of random
    14·1 answer
  • The graph shows the cost for each lawn that is mowed.
    12·2 answers
  • For A-D, choose Yes or No to indicate whether the number is between 4 and 5.
    15·2 answers
  • Marry leaves her house at 12:17 pm. Walks to the library, which takes her 14 minutes, and remains there for 3 hours and 27 minut
    15·1 answer
  • You have two cards with a sum of (-12) in your hand. What two cards could you have? *
    8·1 answer
  • A task force to encourage car pooling did a study of one-way commuting distances (in miles) of workers in the downtown Dallas ar
    11·1 answer
  • Equipment has been sorted into Baseballs and bats. The number of baseballs is four less than three times the number of bats. The
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!