Find the solution of the following equation whose argument is strictly between 90° and 180°.

Find The Solution Of The Following Equation Whose Argument Is Strictly Between 90 And 180.

Answers

Answer 1

Answer:

180degreesStep-by-step explanation:

Given the complex value

z² = -81i

z = (-81i)^1/2

Get the argument of -81i

theta = arctan(y/x)

theta = arctan(-81/0)

theta = -90degrees

theta = -π/2

Since tan is negative in the secind quadrant

theta =  π - π/2

theta = π/2

According to demoivres theorem

theta = 1/2 * π/2

theta = π

theta = 180degrees


Related Questions

I need some help!! I will try to give brainliest!!!

Answers

Answer:

x = 35

y = 95

Step-by-step explanation:

(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.

(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.

Answer:

x = 85, y = 45

Step-by-step explanation:

solving for x:

180 - 95 = 85

solving for y:

85 + 50 = 135

180 - 135 = 45

Good luck on your schoolwork

3.2468 rounded to the nearest tenth.
please help me​

Answers

Answer:

3.2

Step-by-step explanation:

Find the number in the tenth place  

2

and look one place to the right for the rounding digit  

4

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

what percent of the population has an IQ score between 115 and 130?

Answers

Answer:

68% of the individuals in the population have an IQ between 85 and 115.  95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.

Step-by-step explanation:


WILL MAKE BRAINLIEST!!

find the slope of each line

Answers

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years

Answers

Answer:

27 cents

Step-by-step explanation:

10% of 90= 9

9x3=27

Answer:

p x t x r / 100

90 x 10 x 3 / 100

=27

a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is after 12 weeks. e comment on the predicted length of the marrow after one year.

Answers

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

What is 15/7 an mixed number

Answers

[tex]2 \frac{1}{7} [/tex]

is the answer

Answer:

answer: 2 1/7

Hope this helps

Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.

Answers

Answer:

B. Period 1 had scores that were less spread out around the mean than

Period 2

Step-by-step explanation:

Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.

Just wanted to make sure I got the right answer

Answers

Answer:

D

Step-by-step explanation:

Solve. *25 points*

1/2 divided by 2/3 =?

Answers

Answer:

The answer is 3/4

Step-by-step explanation:

When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.

Does a triangle with these side lengths exist?
28, 41, 13

Answers

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

Which expression has a value greater than 43 ?

PLEASEEE HELP!

Answers

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

what is 23^a x 23^b= Pls I need the answer

Answers

Answer:

23^(a+b)

Step-by-step explanation:

23^a x 23^b =23^(a+b)

23^a+b i looked it up

The new number 200 is 400 less than the original number what is the approximate per percent change

Answers

Answer:

200+400=600

400/600=2/3=66.6%

three times four and four fifths

Answers

Answer:

the answer is 12.8

Step-by-step explanation:

Answer:

14 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

3*4 [tex]\frac{4}{5}[/tex]

4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]

[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]

[tex]\frac{72}{5}[/tex] to a mixed number

[tex]\frac{72}{5}[/tex]= 14.4 =14

72-(5*14)=2

14 [tex]\frac{2}{5}[/tex]

3) You flip a coin six times and then roll a six-sided die. Find the number of possible outcomes​

Answers

Answer:

First coin Second coin outcome

H T HT

T H TH

T T TT

Step-by-step explanation:

First coin     Second coin             outcome

H               T                               HT

T               H                               TH

T               T                                TT

please help me with this question:(​

Answers

This triangle is a SAS triangle.
So you use Law of Cosines to calculate the unknown side. (b)
Answer: 3.88

Distribute 6 ( 0.4x + 5)

Answers

Answer:

2.4x+30

Step-by-step explanation:

(6*0.4x)+(6*5)

2.4x+30

Need answer ASAP

Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples’ ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.

Answers

Answer:

subject?

Step-by-step explanation:

The inferences given can be concluded as (a) Agree, (b) Disagree, (c) Agree, (d) Disagree and (e) Disagree

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given two equations made each by Keiko and Eric. They are,

Keiko : t = -1.63a + 92.14

Eric : t = -1.05a + 80.97

(a) As the value of a increases, the value of t decreases for both of the equations.

So the first statement is true.

(b) When a = 20 and 30, t = 59.54 and 43.24 in the equation of Keiko.

When a = 20 and 30, t = 59.97 and 49.47 in the equation of Eric.

On an average, Eric's equation gives more t.

So second statement is false.

(c) t = 92.14 and t = 80.97 when a = 0.

A person with 0 years old cannot end texts.

So y intercept does not have a relevant meaning.

So c is also true.

(d) -1.63 and -1.05 is the slope of the corresponding lines.

This means that for every 1 year increase in age, the number of text messages decreased by 1.63.

So this is false.

(e) Similarly, in case of Eric's equation, for very 1 year increase in age, the number of text messages decreased by 1.05.

This is also false.

Hence the inferences are either agreed or disagreed as explained.

Learn more about Equations here :

https://brainly.com/question/16038959

#SPJ2

a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion

Answers

Answer:

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Step-by-step explanation:

Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014

For the probability that the survey will provide a sample proportion within 6.03 of the population proportion

we will find the z statistic

z= p^-p/√p(1-p)/n

But √p(1-p)/n= 0.014 and p^-p= 6.03

Putting the values

z= 6.03/0.014= 430.71

The corresponding p - value will be  is < 0.00001 which is less than 0.05

A box holds 30 tins How many boxes can be filled
with 810 tins

Answers

27 (810/30)?..............

ZA and B are supplementary angles.
If ZA measures 45°, then what is the measure of ZB?

1. 35
2. 45°
3. 135
4. 145

Answers

The answer is 4. 145 correct me if I’m wrong

Answer: 3. 135°

Step-by-step explanation: supplementary angles are angles that add up to 180° thus 180-45=135

Hope this helped!

Kate is 5 feet 2 inches tall.

Alice is 1.57 metres tall.

Alice says that she is taller than Kate.

Use the conversions below to decide if Alice is correct.

12 inches = 1 foot

1 inch = 2.5 centimetres


if someone could help me with this it would be really helpful

Answers

Answer:

Alice is wrong kate is taller than Alice

Step-by-step explanation:

because Alice is 5'1 and Kate is 5'2

A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression

Answers

Answer:

-14

Step-by-step explanation:

(-12)+(-2)

You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)

The answer is the two values added together.

what is the distance of between (-5,8) and (12,8)
plz help

Answers

Answer:

17

Step-by-step explanation:

-5 is 17 points away from 12.

9 mi
12 mi
What is the length of the hypotenuse?
miles

Answers

15..........................

Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?

Answers

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

Please help me this is for a test. Thank you so much whoever answers this.

Answers

Answer: Pretty sure the answer is 3.

Step-by-step explanation:

[tex]\frac{2(4+7)-7}{5}[/tex]

[tex]\frac{2(11)-7}{5}[/tex]

[tex]\frac{22-7}{5}[/tex]

[tex]\frac{15}{5}[/tex]

30 POINTS, NO LINKS, AND ANSWER RIGHT.

-15 = 8z + 7. what is the value of z

Answers

It would be -11 over 4 or -2.75

Help ASAP I’ll mark branliest

Answers

Answer:

C - 129

Step-by-step explanation:

180-51=129

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