Find all real solutions Tan pi/3 x-3=0

Answers

Answer 1

Step-by-step explanation:

If the question is like this,

[tex] \tan( \frac{\pi}{3}x - 3 ) = 0[/tex]

We take the arc tan of both sides.

[tex] \tan( - 1) ( \tan( \frac{\pi}{3}x - 3 ) = \tan {}^{ - 1} ( {}^{ }0 ) [/tex]

[tex] \frac{\pi}{3} x - 3 = 0[/tex]

[tex] \frac{\pi}{3} x = 3[/tex]

[tex] = \frac{9}{\pi} [/tex]

Since the period of a tan function, is pi, we divide pi by pi/3 since pi/3is the coeffeicent of the x variable

[tex] \frac{\pi}{ \frac{\pi}{3} } = 3[/tex]

So the answer is

[tex] \frac{9}{\pi} + 3n[/tex]

If this the question,

[tex] \tan( \frac{\pi}{3} x) = 3[/tex]

[tex] \frac{\pi}{3} x = 1.249[/tex]

[tex]x = \frac{3.747}{\pi} [/tex]

The period is once again 3 so we have

[tex] \frac{3.747}{\pi} + 3n[/tex]

where n is a interger.


Related Questions

A car travels 9 miles in 7 minutes. How fast is it going in miles per hour? How fast is it going in meters per second?
The car travels mi/hr.
The car travels m / s.

Answers

Answer:

he's going 77mph and then 2069 meters per hour.

Solve each expression by factoring. Match the solutions to the correct expressions.

20x^2 + 48x + 16 = 0

2x^2 - 5x -1 = -4

Answers

Answer:

Step-by-step explanation:

A stamp cost 25 kobo, how many Stamp can a man buy with 2.85 Naira

Answers

Answer:

11 stamps approximately

Step-by-step explanation:

convert 25 Kobo to naira

which is 25/100 = 0.25 naira

therefore, a stamp will cost 0.25 naira.

number of stamps the man can buy with 2.85 naira will be 2.85/0.25 =11.4 stamp

which is 11 stamps (approximately)

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\underline{ Answer }}}[/tex]

Here , We have to create a real life problem which is based on the similar traingle.

Before creating a real life problem . It is important that you should know the basics of the theorem related to similar triangle .

Triangles are similar when their corresponding angles are equal and corresponding sides are in proportion.

There are three conditions that proves the given triangles are similar :-

If the corresponding angles of the both the triangles are equal . Then the two triangles are similar to each other known as AA or AAA criterionIf the two sides and one angle of both the triangle are equal to each other . Then the two triangles are similar to each other known as SAS criterion If all the three sides of both the triangle are equal or having same ratios then both the triangle are similar to each other known as SSS criterion.

Let's Come to the real life problem

Suppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .

Solution :-

Let consider both the apple trees as tree 1 and tree 2

Given :-

The height of the tree 1 is 20 m and height of the tree 2 is 40 mThe shadow casted by both the trees, Tree 1 = 12 m and tree 2 = 24 mThe distance between the height and shadow of both the trees, Tree 1 = 30 m and Tree 2 = 60 m

By using similarity theorem

It states that two triangles are similar when the corresponding sides of both the triangles are in proportion or the corresponding angles of both the triangles are equal

That is,

[tex]\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}[/tex]

[tex]\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}[/tex]

From above we can conclude that,

Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.

The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.

How to Solve Similarity Theorem?

Let consider both the Orange trees as tree 1 and tree 2

If we have:-

Height of the tree 1 = 20 m

Height of the tree 2 = 40 m

The shadow casted by Tree 1 = 12 m

The shadow casted by tree 2 = 24 m

The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m

By using triangle similarity theorem, we have;

20/40 = 12/24 = 30/60 = 1/2

Read more about Similarity Theorem at; https://brainly.com/question/21247688

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Determine if true:
3x8-63=-39

Answers

Answer:

True

Step-by-step explanation:

3x8=24

24-63=-39

39=39

Hence, the equation is true.

Answer:

The answer is true.

Step-by-step explanation:

3 x 8 = 24

24 - 63 = -39

Hope this helps. :)

In circle O , m C = 101° and m D =109° What is m A

Answers

Answer: m A = 150°

well if what you are talking about is arcs, which is what it seems like, the ans for m A = 150°

Step-by-step explanation:

all of the arcs in a circle add up to 360.
so
360 - 101 - 109 = 150

150 would be your degree

2. Factorisation of the algebraic expression 169x2 - 52xy + 4y2​

Answers

Answer:

(13-2y)(13-2y)

Step-by-step explanation:

Algebraic identity of x^2-2ab+b^2

Yes that answer look about right

MATH QUESTION ASAP!!!!! SCREEN SHOT DOWN BELOW

Answers

Answer:

Option 1 looks most suitable

Step-by-step explanation:

Check image below:

Brainliest please

Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?

Answers

Answer: 6 hours and 25 min

Step-by-step explanation:

I need help with a math problem

Answers

ITS TOO BLURRY take a other picture

What is the perimeter of a square if it has an area of 10 sq. cm.​

Answers

Answer: [tex]4\sqrt{10}[/tex] cm

Step-by-step explanation:

The area of the square is equal to the side length^2.

We can let s be the length of the side.

Therefore, s^2 = 10 cm^2

Square root both sides:

s = [tex]\sqrt{10}[/tex] cm

The perimeter of a square is 4 multiplied by the side length.

Therefore, the perimeter of the square is 4s = [tex]4\sqrt{10}[/tex] cm

There was a carton of 27 bottles of water at the beginning of a sports meet. The carton, with 27 bottles of water in it, weighed 11.53 kg. After the sports meet had ended, there were 24 bottles of water left in the carton. The carton then weighed 10.33 kg. What would be the mass of the carton in grams if it were to be empty?​

Answers

Answer:

is the ans 0.73

Step-by-step explanation:

is the ans 0.73 gram and time xa ra

The mass of the carton in grams if it were to be empty is 530 g

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let us find the weight of one bottle of water.

We have to  subtract the weight of the carton with 27 bottles from the weight of the carton with 24 bottles

11.53 kg - 10.33 kg = 1.20 kg

So, the weight of 3 bottles of water is 1.20 kg.

Divide 1.2 by 3 to find the weight of one bottle of water

1.20 kg / 3 = 0.4 kg

Now the weight of the empty carton

Subtract the weight of 27 bottles from the weight of the carton with 27 bottles:

11.53 kg - 27(0.4 kg) = 0.53 kg

Convert the weight of the empty carton from kilograms to grams:

0.53 kg × 1000 g/kg = 530 g

Therefore, the mass of the carton in grams if it were to be empty is 530 g

To learn more on Equation:

https://brainly.com/question/10413253

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What fractions are less than 5/6

Answers

Answer:

4/6 and lower.

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation: The fraction with numerator as 16/3 and denominator 8 becomes 2/3 which is less than 5/6.

5 books cost 21. what is cost of 7 of the same books? show working​

Answers

Answer:

$29.40

Explanation:

5 books cost $21. That means you have to divide 21 by 5 to find the price of one book, which is $4.20. Then you multiply 4.2 by 7 to find the price of 7 books. 7 x $4.20= $29.40

what is the product of -4 and 8.1?
a.-32.4
b.-12.1
c.12.1
d.32.4

Answers

Answer:

a - 32.4

Step-by-step explanation:

-4 * 8.1 = -32.4

First, multiply .1 by -4 and you get -.4

Then multiply 8 by -4 and get -32

Combining these,

-32 -.4 = -32.4

Answer:

a. -32.4

Step-by-step explanation:

What is the measure of Zr?
Angles are not necessarily drawn to scale.
B
156°
4
C
0

Answers

Answer:

  24°

Step-by-step explanation:

Two angles that form a linear pair are supplementary. That is, their total is 180°.

  x° +156° = 180°

  x° = 180° -156° = 24°

An elevator at a construction site has a maximum capacity of 2760 pounds. If the elevator operator weighs pounds and each cement bag weighs240 ​pounds, how many bags of cement can be safely lifted on the elevator in one​ trip?

Answers

Answer:

11.5

Step-by-step explanation:

divide 2760 by 240

2760/240=11.5

The correct answer is 11.5


The probability that Sue will go to Mexico in the winter and France in the summer is 4/10. The probability that
she will go to Mexio in the winter is 6/10. Find the probability that she will go to France this summer, given that
she just returned from her winter vacation in Mexico.

Answers

Answer:

40%

Step-by-step explanation:

4 / 10 = 40%

This data set represents the widths in yards of pieces of fabric used by a sewing group. What is the mean of this data set? {1 1/3, 1/4, 2/3, 1/2, 1 1/4} Enter your answer as a fraction in simplest form in the box.


hurry

Answers

The mean of a dataset is the average or the expected value of the dataset

The mean of the dataset is 4/5

How to determine the mean

The dataset is given as: {1 1/3, 1/4, 2/3, 1/2, 1 1/4}

The mean of a dataset is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{1 \frac 13+ \frac 14+ \frac 23+ \frac 12+ 1 \frac 14}{5}[/tex]

This gives

[tex]\bar x = \frac{4}{5}[/tex]

Hence, the mean of the dataset is 4/5

Read more about mean at:

https://brainly.com/question/14532771

Answer:

I think its 4/5

find the sum of 6a - 5b + c, -2a +4b -2c​

Answers

Answer:

4a-b-c

Step-by-step explanation:

we first look at the letters of each number. if there is only a letter, there is an imaginary 1 in front of it. we need to make sure that we add the numbers that have the exact same letters because they are known as like terms. we cannot add 6a and 4b because the letters are different and they are known as unlike terms. When we add numbers with the same letter ONLY the number changes

What percent of 300 is 120?
O A) 25%
O B) 250%
OC) 4%
OD) 40%

Answers

Answer:

D) 40%

Step-by-step explanation:

I just looked it up on a calculator.

Sally can paint a room in 5 hours while it takes Steve 7 hours to paint the same room. How long will it take them to paint the room if they work together?


(Type an integer or decimal rounded to one decimal place as needed)

Answers

Answer:  2.9 hours approximately

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

Explanation:

Let's say the room has walls and ceiling of 350 sq ft in total area.

Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.

Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.

Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.

Divide the total area over this combined unit rate

350/120 = 2.91667 approximately

This rounds to 2.9

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

Alternatively, you can solve the equation

[tex]\frac{1}{5} + \frac{1}{7} = \frac{1}{x}[/tex]

And you should get roughly x = 2.9

Will give crown to the answer!

Answers

Answer:Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:$1948.72 - $1700 = $248.72:For partb

Step-by-step explanation:

Using an old post still need help

Answers

Answer:

12x+20

Step-by-step explanation:

2(5x+2)+2(x+8)

or (simplified)

10x+4+2x+16=12x+20

Answer:

12x+20

Step-by-step explanation:

5x+2+x+8+5x+2+x+8

12x+20

What should be the index of x so that the value of x so that it's value will be equal to 1?

Don't spam okie​

Answers

Answer:

In our ordinary division, we are clear about the division of a number by the same number. The quotient is always 1 in such case.

For example:-

Divide 4 by 4.

Here,

[tex] \frac{4}{4} = 1[/tex]

Now let solve the above examples by using the laws of indices.

[tex] \frac{4}{4} = {4}^{1 - 1} = {4}^{0} = 1[/tex]

Similarly,

[tex] \frac{ {x}^{m} }{ {x}^{m} } = {x}^{m - m} = {x}^{0} = 1[/tex]

Thus,any base with zero index is equal to 1.

We need to tell the index of x for which x will be 1 , First of all , always remember that index of a number means power of the number or to which power it's raised to, like in , 2 is raised to 3 so 3 is the index. Also we knows an identity i.e

[tex]{\boxed{\bf{\dfrac{a^m}{a^n}=a^{m-n}}}}[/tex]

Let's put , m = n

[tex]{:\implies \quad \sf \dfrac{a^m}{a^m}=a^{m-m}}[/tex]

[tex]{:\implies \quad \boxed{\bf{a^{0}=1}}}[/tex]

Also , you should note that for a = 0 , the given expression becomes 0⁰ ,which is not defined , so the above expression is true only for [tex]{\bf{a\in (-\infty,0)\cup (0,\infty)}}[/tex]

Now , as we can replace variables , so , if we replace a by x , we get x⁰ = 1 .

Hence , the required index is 0

CAN ANYBODY PLEASE HELP ME FOR BRAINLIEST, I'VE BEEN ASKING FOR DAYS AND POSTING DAILY THE SAME QUESTION :(

There was a sample of 650 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.3% each year.

Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.

Write an exponential function showing the relationship between y and t.

Answers

Answer:  [tex]y = 650(0.907)^t[/tex]

This is the same as writing y = 650(0.907)^t

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

Explanation:

Exponential equations can be of the form y = a*b^t

a = initial amountb = growth or decay factor

In this case, we have

a = 650 mg to start withb = 1 - 0.093 = 0.907 as the decay factor

If we had exponential growth, then we'd compute 1 + 0.093 instead.

Based on those values, we go from y = a*b^t to y = 650(0.907)^t which is the same as writing [tex]y = 650(0.907)^t[/tex]

Other exponential forms are possible, but I think this form is the most intuitive. The 0.907 means that 90.7% of the sample remains after each year.

How many faces does the solid made from the net below have?

Answers

Answer: 8

Explanation: Every flat shape on the 3D surfaced shape is called a face so this gives us a total of 8.

It took a car 4 days to travel 3827 miles. What was this car's average speed, in miles per hour?

Answers

Answer:

39.864

Step-by-step explanation:

24*4=96

1827/96

=39.864

Over a 14-day period, Jamal went to the store 4 times. Based on this
information, which statement best describes how many times Jamal will go
to the store in a 5-week period?

Answers

Answer:

He will go to the store 10 times in a 5-week period.

Step-by-step explanation:

We can assume that in one week, Jamal went to the store 2 times, considering he went to the store 4 times in 2 weeks. Next, we can assume that he will go to the store 10 times in 5 weeks, since 2×5=10.

how many ways can i choose 5 goldfish from 28

Answers

Answer:

5 3/5 or 5

Step-by-step explanation:

Because it is

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