Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan (θ +x) and sin (θ +x))

Answers

Answer 1

Answer:

tan (θ+x)= -33/56

sin (θ+x)=33/65

Step-by-step explanation:

cosθ= -4/5 , sin x = -12/13

cosθ= -4/5; θ is in the third quadrant=> sinθ=-√(1-cos² θ)

sinθ=- √(1-16/25)=- √(9/25)=-3/5

sinx= -12/13; x is in the fourth quadrant=> cosx=+√(1-sin²x)

cosx=√(1-144/169)= √(25/169)=5/13

tgθ= sinθ/cosθ=(-3/5)/(-4/5)=3/4

tgx= sinx/cosx=(-12/13)/(5/13)= -12/5

tan (θ+x)=(tgθ+tgx)/(1-tgθ*tgx)

tan (θ+x)=(3/4-12/5)/(1+3/4*12/5)=(-33/20)/56/20)= -33/56

sin (θ+x)=sinθcosx+coxθsinx=-3/5 *5/13 +-4/5 * (-12/13)=-15/65+48/65=33/65


Related Questions

Were you surprised by the shape of your scatter plot? Explain.​

Do you think there might be other factors that influence the association between the variables?​

If you switched which axis each variable is graphed on, would your scatter plot look different? Describe and interpret the association between the variables. ​

Answers

Answer:

Answers are below

Step-by-step explanation:

Yes I was surprised by the scatter plot because I didn't know there would be the most rain at 77 degrees F on the red line.

If you switched which axis each variable is graphed on, your graph would look different because the graph could be sideways on the left or the right.

The graph has a trend of increasing temperature and amount of rain as you get up to the 7th column. After the 7th column, the trend shows decreasing rain and temperature.

Simplify the expression.
5^2 - 4 x 4

Answers

The answer would be 13!

Answer:

Simplified equation: 25 - 16=9

Step-by-step explanation:

Evaluate the power

25 - 4 * 4

Multiply the numbers

25 - 16

Subtract the numbers

9

To find the height of a pole, a surveyor moves 180 feet away from the base of the pole and then, with his eyes (4 feet above the ground), measures the angle of elevation to the top of the pole to be 44 degrees. Draw a picture and label a diagram to represent this situation. What is the height of the pole? Show your work.

Answers

Answer:

177.82397947 ft

Step-by-step explanation:

to find height of of the pole:

tan(44 degrees)=x/180

add the height of the person

x=(180tan(44 degrees) )+4

x=177.82397947 ft

now, round to what point you need to

A survey was held to find the time taken by students to reach school from their homes. Each student was asked to choose from 10, 20, 30, 40, or 50 minutes. What is the mode for the data set?
A. 30 min.
B. 10 min.
C. 20 min.
D. 40 min.
only thoughts answer's if u give a bad one no brainly

Answers

Answer:

there is no mode

Step-by-step explanation:

because there is no doubles

The required, mode of the given data set is not defined. None of the options are correct.

What is the mode?

In statistics, the mode is the value that appears most frequently in a data set. It is the most common observation or measurement in the data set. The mode is one of the measures of central tendency, along with the mean and median.

The mode is the value that appears most frequently in a data set. Since the given data set only has values of 10, 20, 30, 40, and 50, we can simply count which value appears most frequently. From the given options, the is no mode in the data, since it appears no value in the data set appears twice in the data set.

Therefore, None of the options are correct.

Learn more about the mode here:

https://brainly.com/question/30891252

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What addition expression is shown on the
number line?
8
+
?
15

Answers

can it possibly be -15?
It could be 23 im srry if im wrong

Simplify -3+i/7 + i
First, multiply both the numerator and
denominator by___.
A. -3 + i
B. -3 - i
C. 7 + i
D. 7 - 1

Answers

Answer:

D. 7 - i

Step-by-step explanation:

(-3+i)/(7 + i)=

(-3+i)(7-i)/(7+i)(7-i)=

(-21+10i+1)/50=

(10i-20)/50=

0.2i-0.4

The answer is C.7+i

Factor::
x^2+8x-20
thank youuu

Answers

Answer:

[tex](x+10)(x-2)[/tex]

Step-by-step explanation:

[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]

You can confirm this by working backwards, expanding:

[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]

Hope this helps!

does anyone know this?

Answers

Answer:

The ? is 4x * (-2x) = -8x².

Answer:

-8x^2

Step-by-step explanation:

-2x*4x=-8x^2

that's pretty much all the work here, I don't know what else to add in the explanation except for that this is a grid that is supposed to help you learn quadratic factoring

hope this is the right answer

i need help with this ASAP

Answers

Answer:

[tex]1/9[/tex]

Step-by-step explanation:

when you divide a exponents, you subtract them. 4 - 0 = 4

3 to the power of 4 to the power of 2 = 3 to the power of 8, since exponents multiply.

3 to the power of negative 6 * 3 to the power of 8 = 3 to the power of negative 2, since multiplication adds the exponents when the base is equal.

3 to the power of negative 2 is 1/9

Hello All,


Please look at attached.


They are Maths Questions.


I will give Brainliest and also give 15 points.

Please remember to ask me questions if you do not understand


Cheers,


Jake

Answers

Answer: (going down the table)

1) 5, 8, 6, 1

2) 2, 6, 10, 2

Step-by-step explanation:

count how many are in that bracket.

EG:

1) the amount of numbers between 5 and 10, including 5

etc

will mark bianleast plz pzl
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis?


A'(5, 3) B'(–3, 2)
C'(–2, –2)


A'(5, 3) B'(3, –2)
C'(2, 2)


A'(–5, –3)
B'(3, –2)

C'(–2, –2)

A'(–5, –3) B'(3, –2)
C'(2, 2)

Answers

Answer:

A'(-5, -3) B'(3, -2) C'(2, 2)

Step-by-step explanation:

count the squares up or down to the x axis from each point and then go the same number of squares on the other side

Which number produces an irrational number when multiplied by 1/4

Answers

Answer:

D

Step-by-step explanation:

1/4 x -36 = -9

1/4 x 4/3 = 1/3

1/4 x 12 = 3

But...

1/4 x 0.444444... = 0.111111...

So A is the answer

√12  produces an irrational number when multiplied by 1/4

What is an irrational number?

A real number that cannot be expressed as a straightforward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to p/q if N is irrational.

Given Four numbers to find the number that will produce an irrational number after dividing by 4. We will check them one by one:

For A, 0.4444:

=> 0.444

After multiplying by 1/4

=> 0.1111111

That can also write as 1/9(Not an irrational number)

For C, -√36:

=> -√36

After multiplying by 1/4

=>-√9/4

That can also write as 3/2(Not an irrational number)

For D, 4/3:

=> 4/3

After multiplying by 1/4

=> 1/3

That can also write as 1/3(Not an irrational number)

For B. √12:

=> √12

After multiplying by 1/4

=> √12/4

=>√(3/4)

That can also writes as √(3/4)(yes, an irrational number)

Therefore, The irrational number in the given option is B √12

Learn more about irrational numbers here:

https://brainly.com/question/17450097

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Wrong answers only

what is 1+1

Answers

Answer:

Real answer is 2

Fake answers are

11

or

Window

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

The snack that smiles back ℎ.

SIMPLE HELP HELP HELP PLEASE ONLY 1 ANSWER NONE OF THE ABOVE OR ALL IS NOT THE ANSWER SO PLEASE DO IT RIGHT THIS TIME WILL GIVE BRAINLIEST AND 20 POINTS

Answers

Answer:

A

The first option is the correct!

They are parallel so they never connect! :)

Photos attached!

Hope this helps! Have a great day! :)

Answer:

y < x+4

y> x+6

Step-by-step explanation:

y =x+6 and y =x+4 are ║ lines because they have the same slope 1; first line is shaded below and the other above so they don't overlap and no solution

PLEASE HELP! ITS DUE TODAY!

Answers

U got this just use the process of elimination to lower your odds of getting it wrong, I believe in you!

Answer:

D. Median

Step-by-step explanation:

I say this because  is the average of the numbers

If x is 5, then 6x = _____. 30 x 5 x 30

Answers

Answer:

6x = 30

Step-by-step explanation:

6x

Let x = 5

6*5 = 30

6x = 30

________________________________

Hey!!!

Solution,

X=5

Now,

6x

=6*5

=30

So the right answer is 30.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

______________________________

Factor completely: 32 + −10.

Answers

Answer:

22

Step-by-step explanation:

you are adding negative 10 so your number gets smaller

Traductor de español

¡Hola!

La pregunta le pregunta a Factor completamente 32 + -10. 32, un número positivo puede agregar a -10, un número negativo correctamente.

Respuesta: 22

Prueba: 32

               + -10

                ______

                     22

_____________________________________

English Translator

Hello!

The question asks Factor completely 32 + -10. 32, a positive number can add into -10, a negative number correctly.

Answer: 22

Proof:            32

               +   -10

                ______

                     22  

AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с

Answers

Answer:

AC ≈ 2.18 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )

AC × tan70° = 6 ( divide both sides by tan70° )

AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )

help please!!!! Geometry again!!!

Answers

Answer:

Step-by-step explanation:

1. correspording: 2&5, 1&6, 3&8, 4&7

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 3&6 4&5

alt exterior:2&7 4&5

2. correspording: 1&5, 2&6, 3&7, 4&8

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 2&8 5&5

alt exterior:1&7 4&6

Simplify (5 + 1)2 – (12 +34) = 3.

A. 5
B. -39
C. -63
D. 29​

Answers

Answer:

Not possible

Step-by-step explanation:

if you simplify it becomes

-34 = 3

with no variables, its undifined

Answer:

The answer is False

-34 = 3

Step-by-step explanation:

[tex](5 + 1)2 - (12 +34) = 3.\\(6)2 - (46) = 3\\12-46 = 3\\- 34 = 3\\False \\[/tex]

What is the answer for 9+10x=9?

Answers

Answer:

x=0

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

9+10x=9

10x=9-9

10x=0

x=0

a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?

Answers

Answer:

4

Step-by-step explanation:

you must scale down to size- 1 m in real life = 5 (unit) in the model

20/5= 40

hope this helps :)

Answer:

4m

Step-by-step explanation:

1/5 of 20

Question 8 Multiple Choice Worth 1 points)
(01.03 MC)
1
Riley and Francesca both commute to work. Riley's commute on the train takes 12 minutes more than as many minutes as Francesca's commute by car. It takes Riley 36
2
minutes to get to work. Write an equation to determine how many minutes it takes Francesca to get to work.
36
- 12
36 = 2x - 12
36 - 2x + 12
36 = x+12

Answers

Answer:

[tex]\dfrac{x}{2}+12=36[/tex]

Step-by-step explanation:

As it is given that

Both Riley and Francesca commute to work.

And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes

So for determining how many minutes is required for Francesca to get to work we need

Let us assume the time taken by Francesca to get to work is x

So, the time taken by Riley is

[tex]= \dfrac{x}{2}+12[/tex]

And, Riley takes 36 minutes to get to work.

So, the equation would be

[tex]\dfrac{x}{2}+12=36[/tex]

Mr. Davis has 15 students in his class he wants to send three of his students to pick up books for the class how many combinations of students can he choose

Answers

Answer:

45 combinations

Step-by-step explanation:

15*3= 45

Find the value of x from this question

Answers

Answer:

45 degrees

Method: Parallel

45 so that the x could be the y and 45

A sample of 100 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
O A. (24.3, 25.3)
O B. (24, 26)
O C. (23.8, 26.2)
O D. (24.4, 25.6)

Answers

Answer:

D

Step-by-step explanation:

I just took the test: 24.4, 25.6

Answer:

its D

Step-by-step explanation:

Please find the length of the missing side

Answers

Answer:

it is 768 in

Step-by-step explanation:

you multiply 32 by 24

Answer:

C. would be the answer.

Step-by-step explanation:

Hope this helps.

Garrett has a current checking account balance of $495. Over the next three days, he receives a direct deposit of $775.75 from his job, pays an annual online banking fee of $34, and makes purchases of $44.21 and $7.92. He then withdraws $80 from an ATM that charges a $2.50 usage fee. What is Garrett's account balance at the end of the 3-day period? Write your answer in numeric form, such as 1369.05.

Answers

Answer:

1102.42

Step-by-step explanation:

495 + 775.75=1270.75

1270.75 - 34=1236.75

1236.75 - 44.21=1192.54

1192.54 - 7.92=1184.62

1184.62 - 82.2=1102.42

Answer:$1102.12

Step-by-step explanation: You just add the $775.75 to the original $495 then from there you subtract the rest of the numbers from the total amount  and you get $1102.12

Solve the following system:
y = x + 3
3x + y = 19
O (7,4)
O(-4,7)
O (4,7)
O (4.-7)

Answers

Answer:

(4, 7) (third answer choice)

Step-by-step explanation:

In the system

y = x + 3

3x + y = 19

the first equation already gives y in terms of x.  Thus we can substitute x + 3 for y in the second equation:

3x + (x + 3) = 19, which simplifies to:

4x = 16, yielding x = 4.  Substituting 4 for x in the first equation, we get:

y = (4) + 3 = 7.

Thus, the solution is (4, 7) (third answer choice).

Add, write answers as a decimal 3/4 + 0.66

Answers

Answer:

1.41

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 + 0.66 = 1.41

Answer:

1.41

Step-by-step explanation:

4 divided by 3 = 0.75

0.66 + 0.75 = 1.41

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