Which number is an irrational number?

Which Number Is An Irrational Number?

Answers

Answer 1

Answer:

[tex]\boxed{\sqrt[3]{16} }[/tex]

Step-by-step explanation:

=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written as the form [tex]\frac{p}{q}[/tex] which is the basic requirement of being a rational number.

=> [tex]\sqrt{100}[/tex] = 10 (A rational number because it's a whole number)

=> 1/8 (Rational as it is in the form p/q)

=> -2.2675 (Rational because it is an integer)

Answer 2

Answer:

[tex]\boxed{\sqrt[3]{16} }[/tex]

Step-by-step explanation:

An irrational number cannot be expressed in the form p/q, where p and q are whole integers.

[tex]\sqrt{100} =10[/tex]

[tex]\frac{1}{8} =0.125[/tex]

[tex]-2.2675= - \frac{907}{400}[/tex]

[tex]\sqrt[3]{16} \approx 2.51984209979... \neq \frac{p}{q}[/tex]

[tex]\sqrt[3]{16}[/tex] is an irrational number.


Related Questions

For her birthday, Monica can invite 6 of her 15 student friends to join her at a theme park. If she chooses to invite friends at random, what is the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen? 1 out of 3,603,600 10 out of 27,358 1 out of 5,005 1 out of 720

Answers

Answer:

(C)1 out of 5,005

Step-by-step explanation:

There are a total of 15 student friends.

Monica wants to invite 6 of her friends.

The number of ways this can be done is:

[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]

Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen

[tex]=\dfrac{1}{5005}[/tex]

Cutting equilateral triangle BFC out of square ABCD and translating it to the left of the square creates the shaded figure ABFCDE. The perimeter of square ABCD was 48 inches. What is the perimeter, in inches, of ABFCDE?

Answers

Answer: 72 inches

Step-by-step explanation:

You are given that equilateral triangle BFC is cut out of square ABCD, since it is an equilateral triangle, that is all sides are equal to each other, we can therefore find the side of a triangle.

Given that the perimeter of square ABCD was 48 inches.

Perimeter of a square = 4L

Substitute 48 into the formula

48 = 4L

L = 48/4 = 12 inches

That means each length = 12 inch

Perimeter P of the shaded figure ABFCDE will be

P = AB + BF + FC + CD + DE + EA

P = 12 + 12 + 12 + 12 + 12 + 12

P = 72 inches

Therefore, the perimeter of ABFCDE is 72 inches.

Answer:

72

Step-by-step explanation:

We know that each side of a square is equal so if the perimeter is 48 then 48/4 = 12 and knowing the bottom of that triangle cut out is 12 we can solve each side 12 since its a equilateral triangle.

12*6= 72 = answer

(SAT Prep) Find the value of x.

Answers

Answer:

24 degrees

Step-by-step explanation:

94+41 = 135 degrees

180 - 135 = 45 degrees

111 + 45 = 156 degrees

180 - 156 = x = 24 degrees

Hope I could help :)

Answer:

24

Step-by-step explanation:

FIRST GETS BRAINLLEST A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles and 6 blue marbles. Predict how many red marbles are in the bag.

Answers

Answer:

45 red marbles

Step-by-step explanation:

Okay, so the ratio is 9:15:6. We add that up and we get 30. We do 150/30 and get 5. Each number in the ratio is equal to 5. We do 9*5=45.

Answer:

45 red marbles

Step-by-step explanation:

Out of the 30 marbles picked, 9 were red so that's 3/10 of the smaller sample. If you take 3/10 of 150 to get the value of the larger sample, you will get 45 marbles.

6÷2(1+2) isn't that should be 1 , cause in the calculator it said 9 but the order is the parenthisis/brakets first ?? so it should be like 2 times 3 then 6÷6 which gives 1 .​

Answers

Answer:

9

Step-by-step explanation:

because it is 6 divided by 2 then (1+2) 3x3

Answer:

yes your are right

Step-by-step explanation:

got it right

Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one person in an accident. The 20 means it will pay a minimum of $20,000 total to people injured in one accident. The 20 means it will pay a maximum of $20,000 total to people injured in one accident. The 5 means that it will pay a maximum of $5,000 in property damage for one accident. The 5 means that it will pay a minimum of $5000 in property damage for one accident. PLEASE HURRY

Answers

Answer:

10 -- $10k to any one person20 -- $20k to all persons, total5 -- $5k for property damage

  all are maximum values

Step-by-step explanation:

Insurance contracts specify maximum payments, not minimum payments. The numbers mean ...

The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

The 20 means it will pay a maximum of $20,000 total to people injured in one accident.

The 5 means that it will pay a maximum of $5,000 in property damage for one accident.

A bag contains 4 red marbles,
6 white marbles, and 5 blue
marbles. IT a blue marble was
removed from the bag and not
replaced, what is the probability
of then selecting a red marble?

Answers

Step-by-step explanation:

4+6+5=15

15-1=14

2/14

1/7

Answer:

[tex]\boxed{\frac{2}{7}}[/tex]

Step-by-step explanation:

Part 1: Finding out total number of marbles

To start, we need to find out how many marbles are in the bag.

[tex]4 + 6 + 5 = 15[/tex] marbles

Part 2: Removing blue marble and finding probability

After removing the blue marble and not replacing it, we can then infer that we have 14 marbles remaining.

If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.

[tex]\frac{4}{14} = \boxed{\frac{2}{7}}[/tex] or a 28.57% chance of occurrence.

construct a 30 60 90 degree triangle with short leg equal to AB. i dont really understand what it means i think im suposed to use AB as a base but i dont know want to do after that

Answers

So basically what they're asking is that each of the angles of the triangle you're creating must be 30, 60, and 90 degrees. The term "leg" is generally the base so AB on your screen is probably a length. This'd help you with how big you should make the angles of the triangle.

Hope this helps!! <3

Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)

Answers

Answer:

y=|x+1|

Step-by-step explanation:

The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)

But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|

So y=|x+1|

The graph represents the equation : g(x) = |x + 1|

We have a graph given to us.

We have to write the algebraic expression depicting this graph.

What is Modulus of the function y = f(x) = x ?

The modulus of the function y = f(x) = x is given by -  

y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]

Using the above property, we can find out the number of solutions of any modulus equation.

The algebraic equation for the graph can be written as -

g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]

In the form of modulus function, we can write the above equation as -

g(x) = |x + 1|

Hence, the graph represents the equation : g(x) = |x + 1|

To solve more questions on modulus function, visit the following link -

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The lengths of a rectangular garden, the inner rectangle, is 9ft more than its width. For the garden. Let x = width, x + 9 = length. It is surrounded by a brick walkway 4ft wide. Suppose the total area of the walkway is 400ft^2.

a. Write a polynomial to represent the length of PQ

b. What are the dimensions of the garden?

Answers

Answer:

[tex]PQ = x + 13[/tex]

The dimension of the garden is 52.5ft by 43.5ft

Step-by-step explanation:

Given

The shape above

Required

Determine PQ

Determine dimension of the garden

Calculating Length PQ

Represent the length of the inner rectangle as L

Represent the width of the inner rectangle as W

[tex]W = x[/tex]

[tex]L = x + 9[/tex]

The distance between the inner rectangle and the outer triangle is 4ft

This implies that;

[tex]PQ = L + 4[/tex]

Substitute [tex]x + 9[/tex] for [tex]L[/tex]

[tex]PQ = x + 9 + 4[/tex]

[tex]PQ = x + 13[/tex]

Also;

[tex]QR = W + 4[/tex]

Substitute [tex]x[/tex] for [tex]W[/tex]

[tex]QR = x + 4[/tex]

Calculating The Dimension of The Garden

First, we need to determine the Area of the inner rectangle

[tex]Area_1 = L * W[/tex]

Recall that  [tex]W = x[/tex] and [tex]L = x + 9[/tex]

So;

[tex]Area_1 = x * (x + 9)[/tex]

For the bigger rectangle

[tex]Area_2 = PQ * QR[/tex]

Recall that  [tex]PQ = x + 13[/tex] and [tex]QR = x + 4[/tex]

So;

[tex]Area_2 = (x + 13)(x + 4)[/tex]

Given that the Area of the walkway is [tex]400ft^2[/tex]

This implies that

[tex]Area_2 = Area_1 + 400[/tex]

Substitute [tex]Area_1 = x * (x + 9)[/tex] and [tex]Area_2 = (x + 13)(x + 4)[/tex]

[tex](x + 13)(x + 4) = x * (x + 9) + 400[/tex]

Open All Brackets

[tex]x^2 + 13x + 4x + 52 = x^2 + 9x + 400[/tex]

[tex]x^2 + 17x + 52 = x^2 + 9x + 400[/tex]

Collect Like Terms

[tex]x^2 - x^2 + 17x - 9x = 400- 52[/tex]

[tex]8x = 348[/tex]

Divide both sides by 8

[tex]\frac{8x}{8} = \frac{348}{8}[/tex]

[tex]x = \frac{348}{8}[/tex]

[tex]x =43.5[/tex]

Since the dimensions of the garden is [tex]W = x[/tex] and [tex]L = x + 9[/tex]

Substitute 43.5 for x in both cases

[tex]L = 43.5 + 9 = 52.5[/tex]

[tex]W = 43.5[/tex]

Hence, the dimension of the garden is 52.5ft by 43.5ft

What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374

Answers

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].

Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].

A plant will become invasive when the number of plants reaches 10,000. There are 500 plants, and the annual growth rate is 7%. How many years will it take for the plant to become invasive?

Answers

Answer:

It will take 44.3 years to reach 10,000 plants.

Step-by-step explanation:

the function describing the growth is

f(t) = 500*(1.07^t)  = 10000

Take log on both sides

t*log(1.07) = log(10000/500)

t = log(20)/log(1.07) = 44.277 years

The number years it take for the plant to become invasive are 44.3 years.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

Given that,

Use Amount= Initial value(1+r/100)ⁿ, where n is number of years

Now, 10000=500(1+7/100)ⁿ

20=(1+0.07)ⁿ

20=(1.07)ⁿ

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

n=ln(20)/ln(1.07)

Decimal Form:

n=44.3 years

Therefore, the number years it take for the plant to become invasive are 44.3 years.

Learn more about the exponential function here:

brainly.com/question/11487261.

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Graph a line with this information: a slope of -5 and y intercept of 4.

Answers

Answer:

See below.

Step-by-step explanation:

The y intercept is 4 so you can mark a point on the line at (0, 4).This is a point on the y-axis 4 units up from the origin (origin is where the axis cross).

The slope is negative so the line will rise to the left.

Mark a point which is  1 unit  horizontally to the left of point (0, 4) and 5 units vertically upwards.

Then draw the line to pass through this point  and the point (0, 4)

The equation of the line is y = -5x + 4.

Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
she sells is $50.
Write an inequality to describe about how many shares Mrs. Lobo must sell to make an annual income of at
least $70,000
Select one:
O a. 50,000 + 2x > 70,000
O b. 50,000 + 2x < 70,000
O c. 50,000 -- 2x > 70,000
d. 50,000 + 2 > 70,000

Answers

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

50,000 + 2x > 70,000

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground. y=-16x^2+266x+102 The amount of time it takes for the rocket to hit the ground is ____ seconds

Answers

Answer:

17 seconds

Step-by-step explanation:

Solution:-

The trajectory of a rocket launched is modeled by a parabolic path via a quadratic equation as follows:

                               [tex]y = -16x^2 + 266x +102[/tex]

Where,

                   y: The height of the rocket from ground

                   x: The time taken since rocket launch

We are to determine the time ( x ) it takes for the rocket to hit the ground. This can be determined by setting the quantity ( y ) to zero as follows

                             [tex]y = -16x^2 + 266x +102 = 0\\\\ -16x^2 + 266x +102 = 0[/tex]

solve the quadratic equation using quadratic formula as follows:

                             [tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-266 +/- \sqrt{266^2 - 4*(-16)*(102)} }{2*(-16)} \\\\x = \frac{-266 +/- 278 }{-32} \\\\x = 8.3125 +/- 8.6875\\\\x = 17 , -0.375[/tex]

Answer: Ignore the negative value for time " -0.375 ". Hence, the rocket hits the ground at time t = 17 seconds

A train traveling at 100 km an hour takes 3 seconds to enter a tunnel and an additional thirty seconds to pass completely through it. Find the length, in kilometers, of the train. Express your answer as a common fraction

Answers

110/32 or 3.44 kilometers

Find the odds in favor of rolling two different numbers when rolling a pair of dice.

Answers

Answer:

5/6

Step-by-step explanation:

The total number of outcomes is 6 x 6 (because a dice has 6 sides) or 36. On the dice, there are 6 sets of matching numbers:

1,1

2,2

3,3

4,4

5,5

6,6

The probability of this is 6/36 or 1/6. The probability of not matching is 30/36 or 5/6.

I'm always happy to help :)

The probability of rolling a pair of different numbers when two dices are rolled is 5/6.

What is probability?

The probability is the chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

How to calculate probability?

Total number of combinations when two dices are rolled=[tex]6^{2}[/tex]=36.

Combinations having same pair of numbers=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6).

Number of combinations having same pair of numbers=6.

Number of combinations having different pairs of numbers=36-6=30.

Probability of having different pair of numbers=Number of combinations having different pair of numbers/Total combinations

Probability=30/36

=5/6

Hence the probability of rolling a pair of different numbers when two dices are rolled is 5/6.

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-2<3 multiple each side by -5 what is the resulting inequality

Answers

Answer:

[tex]\boxed{10>-15}[/tex]

Step-by-step explanation:

[tex]-2<3[/tex]

Multiply each side by -5.

[tex]-2 \times -5 <3 \times -5[/tex]

Switch signs when multiplying or dividing by a negative integer.

[tex]10>-15[/tex]

Answer:

10 > -15

Step-by-step explanation:

-2 < 3

We want to multiply each side by -5 and we want to see what happens:

-2 * -5 < 3 * -5

= 10 < -15

This is a wrong inequality as 10 is ahead of -15 on the number line.

which number line represents the solution to [x-5]=1

Answers

Answer:

Step-by-step explanation:

If there are illustrations to given problems, please share those illustrations.  Thank you.  

The only value of x for which  [x-5]=1 is true is 6:   [6-5]=1

Steps to solve:

x - 5 = 1

~Add 5 to both sides

x - 5 + 5 = 1 + 5

~Simplify

x = 6

Best of Luck!

Hank’s teacher asked him to verify that the product (y−3)(y2+3y+9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3+3y2+ay−3y2−ay−27. What is the value of a in the polynomial? 3 9 18 27

Answers

Answer:

a = 9

Step-by-step explanation:

In the product (y−3)(y2+3y+9), we can get the first degree term of y in two ways,

y*(9),  or -3*(3y)...............value in parentheses are from the second factor

therefore a = 9

Answer:

a = 9

Step-by-step explanation:

Let's work on the product to answer the question:

[tex](y-3)\,(y^2+3y+9)= y^3+3y^2+9y-3y^2-9y-27[/tex]

therefore the value of the requested "a" is 9

Could I please have some help?​

Answers

Answer:

1,910

Step-by-step explanation:

8 x 6 = 48 x 4 = 192 x 10 = 1,920 now 1,920 minus 10 = 1,910

i guess..but good luck

Answer:

144mi^2

Step-by-step explanation:

The first step would be to find the top and bottom of the shape which are two triangles.

The way you find the area of a triangle is

[tex]A= \frac{L*W}{2}[/tex]

The length is 6 and the width is 8 so you can plug in the numbers

[tex]A=\frac{6*8}{2}[/tex]

Then multiply 6 by 8

[tex]A=\frac{48}{2}[/tex]

And divide by two

[tex]A=24[/tex]

because there are two identical triangles, multiply 24 by 2 to get 48.

The two triangles make 48mi

Now you must find the area of all the rectangles on the sides separately.

The way to find the area of a rectangle is

[tex]A=L*W[/tex]

You must do one at a time, first, I will so the side with a length of 4 and width of 10

[tex]A=4*10[/tex]

Multiply 4 by 10 to get

[tex]A=40[/tex]

One of the rectangles has the area of 40mi

Now you must find the area of the other rectangles with the same formula. I will be doing the one with a length of 4 and a width of 8 next

[tex]A=4*8[/tex]

Multiply 4 by 8 to get

[tex]A=32[/tex]

The area of the second rectangle is 32mi

Finally, you want to find the area of the last rectangle that has a length of 4 and a width of 6. We will be using the same formula again

[tex]A=4*6[/tex]

Multiply 4 by 6 to get

[tex]A=24[/tex]

The area of the last rectangle is 24mi

The last step is to add all the areas together to get the surface area of the figure.

First the two triangles, then the first rectangle, the second, and finally the third.

[tex]SA = 48+40+32+24[/tex] (SA is surface area)

Once you add them all, you get

[tex]SA=144[/tex]

So the Surface area of the whole figure is 144mi^2

Hope this helps!

Feel free to ask any other questions if you have any.

Have a good day! :)

27. Theodore had 24 baseball cards. He sells 1/4 of his cards
to Tom, 13 of his cards to Larry. How many baseball cards
does Theodore have left?
(A) 14
(B) 15
(C) 12
(D) 10​

Answers

24-24*1/4-13=5 I think the answer is 5.

(9,-4); slope =2/3 write the equation of the line

Answers

Y=2/3x-4
Hope this helped

Inspired by election season, Evan decided to run for class president. He earned 80% of the votes in his class. If he earned 24 votes, how many students were in his class? ( with a explanation on how you got the answer)

Answers

Answer:

30 students (30 total voters)

Step-by-step explanation:

Let s represent the number of students in the class.  Evan earned 80% of these votes, which came to 24 votes.  Symbolically, we have:

                                                                                                  24 votes

0.80s = 24 votes.  Therefore, s = total number of voters = ---------------- = 30 voters                                                                                              0.8

The total number of students (voters) in his class was 30.

Answer:

It is 30.

Step-by-step explanation:

Find the correct algebraic representation of the rotation shown below.

a. (y, -x)
b. (-x, -y)
c. (-y, x)
d. (y, x)

Answers

Answer:

-y, x

Step-by-step explanation:

x values go from negative to positive and the y  values remain negative

Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answers

Answer:

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

x - 3y=1

7x+2y=7

Jerry's way of solving the equation

2y=7-7x

Divide both sides by 2

2y/2=7-7x/2

y=7-7x/2

Substitute y=7-7x/2 into (2)

7x+2y=7

7x+2(7-7x/2)=7

This is a complex way of solving the equation

Max's proposed efficient way

x - 3y=1 (1)

7x+2y=7 (2)

From (1)

x=1+3y

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Substitute x=1+3y into (2)

7x+2y=7

7(1+3y)=7

7+21y=7

Divide through by 7

1+y=7

y=7-1

y=6

Is the efficient way that Max proposed

Answer:

A

Step-by-step explanation:

Brainliest?

There are 3 different roads from city A to city B and 2 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B and then return back to A? 36, 10, 5, 24

Answers

Answer:

36

Step-by-step explanation:

There are 3 * 2 = 6 ways to go from A to C and then 2 * 3 = 6 ways to go from C to A so the answer is 6 * 6 = 36.

Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
which of the following statements is true?

Answers

Answer:

Option A

Step-by-step explanation:

According to the graph it never crosses the x axis meaning that it has 0 roots beecasue roots is another word for x-values.

Find all exact values of


If there are multiple solutions, list the solutions in numerical order separated by commas. If there is no solution, use Ø.
Provide your answer below:​

Answers

Answer:

General solution

 θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]

Put n=1

                θ = 210°

put n =2

               θ = 330°

put n=3  

            θ = 270°

Step-by-step explanation:

Explanation:-

Given  equation

             sin 2θ cosθ + cos 2θ sinθ = -1

we know that

Sin (A+B) = sin A cos B +Cos A sin B

      sin( 2θ+θ) = sin (180+90)

                       = [tex]Sin(\pi +\frac{\pi }{2})[/tex]

        sin 3θ = sin (3π/2)

General solution of  sinθ  = sinα

                  θ = 2 n π ±α

                  3θ = 2 n π ±3π/2

                   θ =[tex]\frac{2n\pi }{3} +\frac{3\pi }{6}[/tex]

                  θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]

Put n=1

                  θ=[tex]\frac{2\pi }{3} +\frac{\pi }{2}=\frac{4\pi +3\pi }{6} =\frac{7\pi }{6}[/tex] = 210°

put n =2

                  θ=[tex]\frac{4\pi }{3} +\frac{\pi }{2}=\frac{8\pi +3\pi }{6} =\frac{11\pi }{6}[/tex] = 330°

Put n=3

                  θ=[tex]\frac{2 (3)\pi }{3} +\frac{\pi }{2}=2\pi +\frac{\pi }{2} = \frac{3\pi }{2}[/tex]  = 270°

Pls help xDDDDD thx!

Answers

Answer:

-25

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