PLS HELP WILL GIVE BRAINLIST - Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?

PLS HELP WILL GIVE BRAINLIST - Which Number Represents A Square Root Of 3 (cosine (StartFraction Pi Over

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Got it right on the test

Answer 2

(B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex]

Square root:The factor we can multiply by itself to obtain a given number is the number's square root. Sqrt, which stands for "square root of," is the sign for the term. Squaring an integer is the reverse of finding its square root.Steps to square root a trigonometric function -Find the given trigonometric equation.Put the square term on its own side of the equal sign.Taking square roots on both sides.By using inverse trigonometric functions, get the value of x.Explanation:

De Moivre's theorem: [tex]z=r*[cos([/tex]θ[tex])+i*sin([/tex]θ[tex])}[/tex][tex]][/tex]

Raising both sides to the [tex]n^{th}[/tex] - [tex]z^{n} =r^{n} *[cos(n*[/tex]θ[tex])+i*sin(n*[/tex]θ[tex])][/tex]

The square root operation undoes the squaring operation, so we'll be dealing with [tex]n=2[/tex].

If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.

[tex]z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )][/tex]

Therefore, the correct answer to the question is (B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex].

Know more about square roots here:

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Related Questions

if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?

Answers

Step-by-step explanation:

x² + 16x + 64 = (x + 8)². Hence p = 8.

Since (x + 8) is a factor of 4x² + 37x + k,

4(-8)² + 37(-8) + k = 0. (by Factor Theorem)

=> 256 - 296 + k = 0

=> k - 40 = 0

=> k = 40.

The value of k is 40.

HELPPPPP ME PLEASEEEE


the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3

Answers

Between 0 and 1 I think because you have to find common denominators
It would be B: between 1 and 2 because the answer to that is 1.8 (rounded) so it is more than one but less than 2.

You design a tree house using a coordinate plane. You plot the vertices of the floor at J(2,1),K(2,8),L(9,8), and M(9,1). The coordinates are measured in feet.



a. Which best describes the shape of the floor?


triangle

square

trapezoid

A rectangle having a length one foot longer than its width.

A rectangle having a length two feet longer than its width.

Question 2
b. What are the perimeter and the area of the floor?

Perimeter:
ft

Area:
ft2

Answers

Answer:

Square

Area = 49

Perimeter =28

Step-by-step explanation:

How to get the area:

Square A= Side x side

Side=7

7x7=49

How to get perimeter:

Add the lengths of the square which is 7

7x4=28

In August, the Simons' water bill was $48. In September, it was $50. Calculate the percent increase and round to the nearest percent?
41%
400%
40%
4%

Answers

Answer:foooo

Step-by-step explanation:

Which table represents a linear function?

Answers

it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line

Answer:

This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.

Which substitution method should be the best used to solve which system of equations

Answers

Answer: 6x+2y=1

Step-by-step explanation:

because it just is

Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.

Answers

Answer: about 500

Step-by-step explanation:

Answer:

Step-by-step explanation:

800 meters

6a) Choose yes or no to tell whether the GCF of 9 and 15 is 3.
Yes
Or
No

Answers

Yes because the greatest common factor (largest factor both numbers share) is three

Solve 2(x + 1) = 2x + 5.

All real numbers
No solution
0
3

Answers

Final Answer: No Solution

Steps/Reasons/Explanation:

Question: Solve [tex]2(x + 1) = 2x + 5[/tex].

Step 1: Expand.

[tex]2x + 2 = 2x + 5[/tex]

Step 2: Cancel [tex]2x[/tex] on both sides.

[tex]2 = 5[/tex]

Step 3: Since [tex]2 = 5[/tex] is false, there would be no solution.

No Solution

~I hope I helped you :)~

Answer:

No Solution

Step-by-step explanation:

1) Parenthesis

Here, you cannot add x and 1, so you must distribute the 2 into the parenthesis.

(2x+2) = 2x +5

2) Isolate the variable.

To do this, you must subtract 2x from both sides of the equation

2x - 2x + 2 = 2x - 2x + 5

2 = 5

Clearly, this is a false statement, seeing at 2 can never equal 5, the answer is no solution

The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter bottles, which were checked for calories, containsa mean of 255 calories with a standard deviation of 5.6 calories. Assume that the calorie count has a normaldistribution. Does the sample information indicate that a 2-liter bottle of Pepsi contains more than 250 calories

Answers

Answer:

Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories  

Step-by-step explanation:  

Null Hypothesis [H0] : u < 250  

Alternate Hypothesis [H1] : u > 250 {One Tail}  

t = (x' - u) / [ sd / √n ]  

= (255 - 250) / (5.6 / √20)  

5 / (5.6 /√20)  

= 3.99  

As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.  

what is the answer to 5/6 times 4/3 =

Answers

Answer:

[tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Answer: 10/9 or 1.111111111

Step-by-step explanation:

What is the slope and y-intercept of the line represented by the equation y=18x+3

Answers

Format: y = mx + b
m = slope, b = y intercept
Solution: slope is 18, y intercept is 3

pls help i need help :D

Answers

Answer:

[tex]\frac{2808}{3125}[/tex]

Step-by-step explanation:

when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?

Answers

Answer:

2(x - 1) - 1 = 3(x + 1) - 6 - x

There are infinitely many solutions.

Step-by-step explanation:

Equations

Suppose Nicky was trying to solve the equation

2(x - 1) - 1 = 3(x + 1) - 6 - x

Operating:

2x - 2 - 1 = 3x + 3 - 6 - x

2x - 3 = 2x - 3

Subtracting 2x:

-3 = -3

This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.

The same result could have come with these equations:

4x - 3 = -3 + 4x

4(x - 1) + 1 = 4(x + 1) - 7

26 _Is this number rational or irrational? 0.5287593593593593 Explain why?

Answers

Answer:

Irrational means it can not be written completely. If there was a line above the last number/the number was infinite, it would be irrational. But because it stops, its not irrational. It can be written as a fraction, so it is rational.

help!!!!!please!!!!!!!
4x = 64 + 200
what is x ​

Answers

x=66

Step-by-step explanation:

4x = 200 + 64 > 4x = 264 > x= 66

Answer:

x=66

Step-by-step explanation:

Steps

4x=64+200

4x=264

x=66

the sum of the first six terms of a G.P is 9 times the sum of the first three terms . what is the first term ?​

Answers

Without any more information, the first term can be any number.

Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then

a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)

ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)

r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)

r ³ (1 + r + r ²) = 8 (1 + r + r ²)

r ³ = 8

r = 2

Now with this ratio, the sum of the first six terms is

a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a

while the sum of the first three terms is

a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a

and of course 63a = 9 • 7a, and this is true for any a.

what is wswssssssssss 4+4?

Answers

Answer: 4+4=8

Hope this helps :)

Step-by-step explanation:

Say you have four apples, and your friend gives you four more. You put together the amount of apples you have and you get 8.

Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.

Answers

Answer:

It might be 1,050. Also can't believe thats a college question-

It was very easy to solve! Help from an 8th grader here.

Step-by-step explanation:

The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.

What is the divisibility rule?

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The four smallest prime numbers are 2, 3, 5, and 7.

To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.

To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:

2 = 2 x 1

3 = 3 x 1

5 = 5 x 1

7 = 7 x 1

Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:

LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹  = 210

Since we want the "smallest 4-digit number", then it is:

210 x 5 =1050

Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.

Learn more about the divisibility rule here:

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Help ASAP!!!!!A side of the triangle below has been extended to form and exterior angle of 159 degrees.Find the value of s

Answers

Answer:

x=21

Step-by-step explanation:

45+x+the last angle=180

x+159=180

180-159=21

21+45= 66

180-66=114

so i think x would be 21 degrees but im not entirely sure do not quote me on this sorry

X= 21, so the person above me is correct

a local libary has 2500 fiction books and 5000 nonfiction books what is the nonfiction to fiction ratio in the libary?

Answers

Answer:

Step-by-step explanation:

5000 nonfiction and 2500 fiction

ratio is 5000/2500=2

ratio is 2:1

The correct answer is that the ratio is 2:1. I hope this helps.

NEED HELP WIT DIS ASAP PLS ITS THE FINAL

Answers

Answer:

it's a or c

Step-by-step explanation:

which number is rational
A. square root of 16/6
B square root of 6
C. square root of 36/16
D. square root of 36/6

Answers

Answer:

36/16

Step-by-step explanation:

the answer is C-36/16

Please answer this is the third time I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long

Answers

Answer:

y = 1.75

x = 1.25

Step-by-step explanation:

Since the triangles have equal angles, you can use ratios to solve for x and y.

For y:

[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]

Subtract 7 from a to find y.

y = 8.75 - 7

y = 1.75

For x:

[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]

Subtract 5 from b to find x.

x = 6.25 - 5

x = 1.25

What is the size of the exterior and interior angle of a regular polygon if it has 3 sides

Answers

Answer:

120° and 60°

Step-by-step explanation:

The sum of the exterior angle of a polygon is 360°, then

exterior angle = 360° ÷ 3 = 120°

The exterior and interior angle sum to 180°, then

interior angle = 180° - 120° = 60°

Solve for g .

g + (-5) = 27

g =

Answers

g -5 = 27

g -5 + 5 = 27 + 5

g = 32

Final Answer: [tex]g = 32[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]g[/tex]. [tex]g + (-5) = 27[/tex]. [tex]g[/tex] = ?

Step 1: Remove parentheses.

[tex]g + -5 = 27[/tex]

Step 2: Simplify [tex]g + -5[/tex] to [tex]g - 5[/tex].

[tex]g - 5 = 27[/tex]

Step 3: Add [tex]5[/tex] to both sides.

[tex]g = 27 + 5[/tex]

Step 4: Simplify [tex]27 + 5[/tex] to [tex]32[/tex].

[tex]g = 32[/tex]

~I hope I helped you :)~

What is 2 1/2 written as an improper fraction?

Answers

2 1/2 as an improper fraction is 5/2

First, split the mixed fraction into the sum of a whole number and a fraction:

2 1/2 =>2+ 1/2

Then, rewrite the whole number as an equivalent fraction:  2 => 4/2

Lastly, add together the two fractions to get the answer:

4/2 + 1/2 = 5/2

A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3

B= 348.3 cm3

C= 673.8 cm3

D= 2926.1 cm3

Answers

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

Which step is incorrect and what is the correct answer?

Answers

Answer:

Step 4, x = 3

Step-by-step explanation:

Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:

6x = 18

x = 3

What is the answer and plz give me step by step explaining

Answers

Answer:

7

Step-by-step explanation:54x=60x-42, -6x=-42, divide both sides by six then you get 7

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