Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
x is in the fourth quadrant; evaluate 
tan2θ
A. 24/5
B. 24/7
C.12/13

Given: Cos =-4/5, Sin X = -12/13, Is In The Third Quadrant, X Is In The Fourth Quadrant; Evaluate Tan2A.

Answers

Answer 1

By definition of tangent,

tan(2θ) = sin(2θ) / cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

where the latter equality follows from the Pythagorean identity, cos²(θ) + sin²(θ) = 1. From this identity we can solve for the unknown value of sin(θ):

sin(θ) = ± √(1 - cos²(θ))

and the sign of sin(θ) is determined by the quadrant in which the angle terminates.

We're given that θ belongs to the third quadrant, for which both sin(θ) and cos(θ) are negative. So if cos(θ) = -4/5, we get

sin(θ) = - √(1 - (-4/5)²) = -3/5

Then

tan(2θ) = sin(2θ) / cos(2θ)

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2θ) = 24/7


Related Questions

If it takes 41 minuets for 9 people to paint 9 walls how many minuets will it take for 14 people to paint 14 walls

Answers

Answer:

considering the fact that each person paints 1 wall. as 9 person's paints 9 walls then we can say it takes 41 min to paint a wall by a person then

it would take 41 min to paint 14 wall by 14 person

It means every single person will take 41 minutes to paint 1 wall.
So it will be the same

Answer is: 41 minutes

What is the solution to the equation Vn= 3n-3+1?
On=-4, n = -1
O n=-1
n=1
n= 1, n = 4

Answers

Answer:

C

Step-by-step explanation:

4(q+6) expanded
eeeeeeeeeeeeeeee

Answers

Answer:

expanded version of 4(q+6) should be 4q+24

Step-by-step explanation:

just multiply 4 and q, 4 and 6. and add it.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{4(p + 6)}[/tex]

[tex]\huge\text{DISTRIBUTE 4 WITHIN the PARENTHESES}[/tex]

[tex]\huge\textsf{4(p) + 4(6)}[/tex]

[tex]\huge\textsf{4(p) = \boxed{\bf 4p}}\huge\checkmark[/tex]

[tex]\huge\textsf{4(6) = \boxed{\bf 24}}\huge\checkmark[/tex]

[tex]\huge\checkmark\boxed{\huge\textsf{\bf 4p + 24}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 4p + 24}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Select the correct answer.
Which of these graphs represents a function?


W.
X.

Y.
Z.
A.
W
B.
X
C.
Y
D.
Z

Answers

The graph that represents a function is graph X

For a graph to represent a function, then the graph must pass the vertical line test.

This means that, no two output values of the graph must have the same input value.

The above statement can be interpreted as:

For every x value, there must be exactly one corresponding y value.

From the given graphs, only graph X passes the vertical line test, because every x value has exactly one corresponding y value.

Hence, the graph X represents a function

Read more about graphs and functions at:

https://brainly.com/question/3939432

Answer:

the answer is x ! hope this helps

Step-by-step explanation:

i took the test

What is
is 1/4 + 9/10y -3/5y +7/8 written in simplest form?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\[/tex]

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

[tex]= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y[/tex]

Answer:

3 • (4y + 15)

-----------------  

      40  

Step-by-step explanation:

Long explanation get ready

STEP

1

:

           7

Simplify   —

           8

Equation at the end of step

1

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

2

:

           3

Simplify   —

           5

Equation at the end of step

2

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

3

:

            9

Simplify   ——

           10

Equation at the end of step

3

:

   1      9          3y     7

 ((— +  (—— • y)) -  ——) +  —

   4     10          5      8

STEP

4

:

           1

Simplify   —

           4

Equation at the end of step

4

:

   1    9y     3y     7

 ((— +  ——) -  ——) +  —

   4    10     5      8

STEP

5

:

Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 0 1 1

Product of all

Prime Factors  4 10 20

     Least Common Multiple:

     20

Calculating Multipliers :

5.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

5.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.       5

  ——————————————————  =   ——

        L.C.M             20

  R. Mult. • R. Num.      9y • 2

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

5.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + 9y • 2     18y + 5

——————————  =  ———————

    20           20  

Equation at the end of step

5

:

  (18y + 5)    3y     7

 (————————— -  ——) +  —

     20        5      8

STEP

6

:

Calculating the Least Common Multiple :

6.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 1 1 1

Product of all

Prime Factors  20 5 20

     Least Common Multiple:

     20

Calculating Multipliers :

6.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

6.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (18y+5)

  ——————————————————  =   ———————

        L.C.M               20  

  R. Mult. • R. Num.      3y • 4

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

6.4       Adding up the two equivalent fractions

(18y+5) - (3y • 4)     6y + 5

——————————————————  =  ——————

        20               20  

Equation at the end of step

6

:

 (6y + 5)    7

 ———————— +  —

    20       8

STEP

7

:

Calculating the Least Common Multiple :

7.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       8

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 3 3

5 1 0 1

Product of all

Prime Factors  20 8 40

     Least Common Multiple:

     40

Calculating Multipliers :

7.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

7.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (6y+5) • 2

  ——————————————————  =   ——————————

        L.C.M                 40    

  R. Mult. • R. Num.      7 • 5

  ——————————————————  =   —————

        L.C.M              40  

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

(6y+5) • 2 + 7 • 5     12y + 45

——————————————————  =  ————————

        40                40  

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  12y + 45  =   3 • (4y + 15)

First, rewrite
7/9 and 16/21
so that they have a common denominator.

Answers

49/63 and 48/63..........

What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.

Answers

Answer:

The distance is 5.4.

Step-by-step explanation:

Hope this helps!! Have an Amazing day!!

Answer:

5.385

Step-by-step explanation:

Use the distance formula with (-6,2) (-4,7)

[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }[/tex]

[tex]\sqrt{(-4--6)^2 + (7-2)^2 }[/tex]

[tex]\sqrt{(2^2) + (5^2)}[/tex]

[tex]\sqrt{4+25}[/tex]

[tex]\sqrt{29}[/tex]

= 5.385

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of
10 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final
answers to 2 decimal places.)
3378
318.26
to
33174
a. Highest 10 percent
b. Middle 50 percent
c. Highest 80 percent
d. Lowest 10 percent

Answers

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Parallel slope of line x-7y=7

Answers

Answer:

The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!

Step-by-step explanation:

x - 7y = 7

-7y = -x + 7

7y = x - 7

y = x/7 - 1

Please help me!


What is the volume of the prism below?

2 3/4 units3
3 1/2 units3
5 units3
8 units3​

Answers

Answer:

Step-by-step explanation:

Answer:

3 1/2 units cubed.

1 3/4 · 1 · 2 = 3 1/2

find the perimeter of the figure​

Answers

Answer: [tex]9 \frac{1}{2} x+5[/tex]

Step-by-step explanation:

In order to find the Perimeter, we add all the segments up.

 (2x-1)+(4x+3)+(x+2)+(2x+2)+(1/10x-1)+(2/5x)

=2x-1+4x+3+x+2+2x+2+1/10x-1+2/5x ⇔ Expand Parenthesis

=2x-1+4x+3+x+2+2x+2+1/10x-1+4/10x ⇔ Convert fractions into same                              

                                                                  denominator

=(2x+4x+x+2x+1/0x+4/10x)+(3-1+2+2-1) ⇔ Put like terms together

=(9x+1/2x)+5 ⇔ Combine like terms

=9 1/2 x +5

Hope this helps!! :)

Please let me know if you have any questions

The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.


A) Define the variables.


B) Write a systems of equations for the situation.


C) Graph the system.

Answers

Answer:

C

Step-by-step explanation:

Hope this help and have a nice day

Can someone help me out pls.
What was done to the previous equation?
A) 2x – 10. <--original equation
B) 11x – 10
C) -8 + 11x – 2
D) -8 – 11x – 2
E) -8 + 6x + 5x – 2
F) -8 – 3x + 5x – 2​

Answers

Ok ill answer the question but do you want me to evaluate it or find it to the simplest form ?

Can anyone help me with my homework

Answers

Answer:

1) NO

2) YES

3) YES

4) YES

Step-by-step explanation:

A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).

The condition for a function is that each element in the domain can be mapped into only one element in the range.

(Or each input can be mapped into only one output).

Now let's apply this theory to the exercises here.

In all the cases we have relations, so we need to check if one (or more) of the inputs is mapped into more than one output.

Also remember that in the point notation (x, y) the first value is the input and the second is the output.

1)

Here we can see the points (-1, 5) and (-1, 2)

So the input -1 is mapped into two different outputs, 5 and 2.

This means that this is not a function.

2)

In this case, we can see that all the inputs are different (1, -2, 3, 5), so this is a function.

3)

Again, here we can see that each input is being mapped into only one output, then this is a function.

4)

In a graph, the horizontal position represents the input value and the vertical position represents the output value.

One way to tell if a graph belongs to a function or not, is to see if there is a vertical line such that more than one point intersects that line. If that happens, then we have two points with the same input value but different output value and the relation is not a function.

In this case, we can see that this does not happen, and then we can conclude that the graph represents a function.

Suppose a manufacturer knows from previous data that 2.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one is found. Is this a binomial experiment? Why or why not?

Answers

Answer:

No, because the number of trials is not fixed.

Step-by-step explanation:

a. pe. x

Answer:B

Step-by-step explanation: khan - There is no fixed number of trials , so D is not a binomial variable.

How do I slove this question.​

Answers

Answer:

c

Step-by-step explanation:

kendrick bought 5 gallons of gass for 16.25. how much did kendrick pay per gallon?

Answers

Answer:

$3.25 per gallon

Step-by-step explanation:

Answer: he paid 3.25 for each gallon

Step-by-step explanation:

Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25

What is the answer and show me the steps

Answers

Answer:

20 because

Step-by-step explanation:

you have to add all of them then ÷ by 2

I need help plz WILL GIVE BRAINLIEST

Answers

Answer: 7 miles

Step-by-step explanation:

The points for Tom's house (4, 2) and the store (-3, 2) are on the same level; they are on the same horizontal line 2 units above the x-axis.

The distance between the points is therefor the difference between the x coordinates.

4 - (-3) = 7

You can also just count the spaces between the points!

What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2

Answers

Answer:

C

Step-by-step explanation:

slope intercept is y=mx+b

The y-intercept is at 2 so b=2.

The slope is rise/run, equaling -3

so y= -3x+2

If you work 7 miles from your home and work 5 days a week, how many miles do you travel for work each week?

Answers

35 miles.
7 miles for 5 days is 35 miles if we were to multiply.

from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015

Answers

Answer:

30

Step-by-step explanation:

I think that's the answer but if I'm wrong tell me right away I'll try another method.

HELP ME PLEASE IT WOULD BE NICE

Answers

Answer:

90 degre i cant wright the small o thing but is 90

Step-by-step explanation:

Which statement is true?

Answers

Answer:

A) Airplane A has a lesser median

Step-by-step explanation:

If you look at the photo you see both airplane A and airplane B and if you were to line them up

airplane A=3

airplane B=4 ½  

so clearly airplane A would have a lesser median than airplane B

The square of a number decreased by ten times the number is negative nine.

Answers

Answer:

answers are 1 and 9

Step-by-step explanation:

x² - 10x = -9

x² - 10x + 9 = 0

(x - 9)(x - 1) = 0

x = 9, x = 1

Answer:

Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.

Step-by-step explanation:

hope this helps

3. A lemonade recipe calls for 1 cup each of sugar and lemon juice and 8 cups of water

Answers

Answer:

what exactly are we solving

Step-by-step explanation:

PLEASE HELP THIS IS DUE I HAVE BEEN TRYING AND DONT UNDERSTAND IT!!!!

Answers

Answer:

Step-by-step explanation:

Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)

Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)

Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)

Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)

Reflect means flip the sign of the corresponding coordinate

reflect over x axis flip the sign of x coordinate

reflect over y axis flip the sign of y coordinate

There are 230 calories in 4 ounces of ice cream. How many calories are in 6 ounces of that ice cream? ​

Answers

Answer:

345 calories

Step-by-step explanation:

The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.

57.5 x 6 = 345 calories

For what values of b will F(x) = logbx be a decreasing function?

Answers

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%

Answers

Answer:

C

Step-by-step explanation:

different size wedges would be the most visibly different

c is the answer hope this helps
Other Questions
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