If cos(x) = 3/5 and sin x < 0, find sin(2x) as a fraction in simplest terms.
sin(2x) =

Answers

Answer 1

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

Answer 2

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To know more about fraction here

https://brainly.com/question/30154928

#SPJ2


Related Questions

What is the cosine ratio of ∠Z?

Answers

Answer:

10 / 26

Step-by-step explanation:

cos <Z = adjacent / hypotenuse

= YZ / XZ

= 10 / 26

Answer:

Cos of an angle by definition of its ratio is side adjacent/hypotenuse.  The side adjacent to angle Z cannot be the hypotenuse, so it has to be 10. he hypotenuse is 26.  Therefore, cosZ= 10/26 = 5/13

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZz

Which characteristic does the graph display? A) Odd function
B) even function
C) neither even nor odd

Answers

Answer:

B is correct option

Step-by-step explanation:

The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.

Choose all the graphical displays that are best for showing numerical data.


box-and-whisker plot
bar graph
line graph
circle graph
stem-and-leaf plot
scatter plot
histogram

Answers

Answer:

box-and-whisker plot

line graph

stem-and-leaf plot

scatter plot

histogram

Step-by-step explanation:

Answer:

stem-and-leaf plot

Step-by-step explanation:

trust me this is the right one

Ay help me and when I finish I am giving free point
but help me with this

Answers

Answer:

The correct answer is [tex]\frac{2}{16}[/tex].

Step-by-step explanation:

Since there are 8 cards and two sides to the coin, that means there will be a total of 16 different outcomes. Out of the 16 possible outcomes, 2 of them meet the requirement of picking a vowel card and landing on heads, so the fraction to represent the situation would be [tex]\frac{2}{16}[/tex].

Answer:

2/16

Step-by-step explanation:

what is the value of y2 -x2 when y=6 and x=5​

Answers

2

(6)x2 =12
(5)x2 =10
12-10=2
It’s 2
Because at the end it’s 6x2-5x2= 12-10= 2

Are these two lines parallel?
y = 3x – 2
X 0 1 2 3
y3 6 9 12
Yes
No .

Answers

Answer:

Yes

Step-by-step explanation:

Not why does it have to have the numbers in different positions ?

The area of a triangular sail is given by the expression 12bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?

Answers

Answer:

42 square inches

Step-by-step explanation:

Area of a triangle = (1/2)(base)(height)

A = 1/2(12)(7)

A = 1/2(84)

A = 42

396 divided by 11. Step by step explanation

Answers

Answer: 36

Step-by-step explanation: using long division you take 11 divide into 398 so first, 11 goes into 39, 3 times

you have 6 left, so keep the 6 and drop down the other 6

next 11 goes into 66, 6 times making it 396/11= 36  

hope this helps

Answer:

36

Step-by-step explanation:

396 divided by 11 is equal to 36

      36

11/[tex]\sqrt{396\\}[/tex]

   - 33

      066

    -  66

         0

Which statement is true?
A) function is a relation where each output value is assigned to exactly one input value.
B) The domain of a function is the set of all output values, or y-values, for which the function is defined.
C)The range of a function is the set of all input values, or x-values, for which the function is defined.
D)To write the equation y = ax + b in function notation, substitute f(x) for y.

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A function is a relation where each input value is assigned to only one output value.

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

Which A, B, & C are wrong. So D, is the one that makes the most sense.

10ft/2in simplified so the units are the same

Answers

answer:

60 inches or 5 feet

step-by-step explanation:
10 ft can be turned into 120 in
120/2
60 inches or 5 feet
Wish I could help I suck at math

<3 pwease help will do anything lol <3
2. A 480 Ω resistor is connected in series to a 360 Ω resistor and a 120-V power supply.
a. Draw the circuit.



b. Calculate the equivalent resistance of the circuit.


c. Calculate the current through the battery.


d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.

f. How does the voltage drop across each resistor compare to the voltage of the battery

Answers

I just answered a so let's start with b :

______________________________

b. The equivalent resistance of series

resistances is equal to their sum

Thus :

equivalent resistance = 480 + 360

equivalent resistance = 840

_______________________________

c.

I = V ÷ R

I = 120 ÷ 840

I = 0.1428 A

_______________________________

d. 0.1428 A

_______________________________

e. 480 ===》 120 - ( 480 × 0.1428 ) =

120 - 68.544 =

51.456

360 ===》 120 - ( 360 × 0.1428 ) =

120 - 51.408 =

68.592

_______________________________

f. 480 ===》68.544 lower than battery

360 ===》 51.408 lower than battery

hey! i’ll give brainliest pls help.

Answers

Answer:

Hi! I'll just help qwq

The first option should be the correct answer!

Step-by-step explanation:

The sun is in the center, and all other planet orbits/goes around the sun.

The second option is a theory of which old people believed. Now we know for sure that the sun is in the center, and we orbit around it.

the first one should be correct!

The ratio of the number of Mary's necklaces to the number of Helen's necklaces is 25:9.Mary's has 100 necklaces. How many necklaces does Helen's have.

Answers

Answer: 36

Step-by-step explanation:

Given

The ratio of Mary's to Helen's necklaces is 25:9

Mary has 100 necklaces

Suppose Helen has x necklaces

Therefore the ratio can be written like

[tex]\Rightarrow \dfrac{25}{9}=\dfrac{100}{x}\\\\\Rightarrow x=\dfrac{100}{25}\times 9\\\\\Rightarrow x=4\times 9\\\Rightarrow x=36[/tex]

So, Helen has 36 necklaces

Answer this if you know this

5+3-2√5±∞

Answers

Answer:

wt actual hell

Step-by-step explanation:

Answer:

answering because my account got banned

Step-by-step explanation:

Rachel had 36 quarters. If it costs 4 quarters for each coke from a coke machine, how many could she buy?

Answers

Answer:
9 Cans of coke.
Explanation:
36 divided by 4 = 9.

Simplify 12 − 32 + (5 − 1)2.
A) 12
B) 18
C) 19
D) 97

Answers

12-32+[5-1]x2

-20+4x2

-20+8

=-12

The simplified form of the given expression is -12. Therefore, option A is the correct answer.

What is simplify?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

The given expression is 12-32+(5-1)2.

Here, 12-32+4×2

= -20+8

= -12

Therefore, option A is the correct answer.

Learn more about the simplification here:

brainly.com/question/2804192.

#SPJ6

Clinton has a bag of Skittles. Inside the bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles. What is the probability of drawing a green Skittle, replacing it, and then drawing another green Skittle

Answers

The probability of drawing a green Skittle, replacing it, and then drawing another green Skittle is 1/36

How to determine the probability?

The distribution of the Skittle is given as:

Red = 6

Orange = 4

Yellow = 7

Purple = 3

Green = 4

The total number of skittle is:

Total = 6 + 4 + 7 + 3 + 4

Evaluate

Total = 24

The probability of selecting a green skittle is:

P(Green) = 4/24

So, the probability of selecting 2 green skittles is:

P = 4/24 * 4/24

Evaluate

P = 1/36

Hence, the probability of drawing a green Skittle, replacing it, and then drawing another green Skittle is 1/36

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

ABC has vertices at A(3.2), B(1.4), and C(2.7).

What will be the new vertices after a 90° counter clockwise rotation about the origin?​

Answers

Answer:

A = 1,4

B = 2,1

C = -4,-5

Step-by-step explanation:

The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5

a store charges by the pound for candy. if it costs you 10$ for 4 pounds of candy, how much will it cost you for 15 pounds?

(help! i need the work too please ! :) )

Answers

4x10=40 16 with a remainder of 1

Answer: I think it is $37.50

Step-by-step explanation: You first have to divide 10 by 4 to know how much money it was for 1 pound and I got 2.5. Then I multiplied 2.5 by 15 to get 37.5 which is $37.50.

hi! please help i’ll give brainliest

Answers

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Answer: Mechanical weathering

Step-by-step explanation:

Find the length of each arc. Round your answers to the nearest tenth.
A) 127.2 yd
C) 102.4 yd
B) 7.1 yd
D) 56.5 yd

Answers

Answer: 7.1 yd

Step-by-step explanation:

the formula for arc length is 2πr(x/360),  x being the central angle

input the values, so the equation would be 2π9(45/360), which equals 7.1

polynomial test
solve or simplify
-7x(11x+12)
i need help on these

Answers

Answer:

-77x^2 -84x

Step-by-step explanation:

[tex] - {77x}^{2} - 84x[/tex]

just multiply -7 by each number within the parentheses.

F(x) =
X+1 if x 1
-x+1 if 1 X-1 if x>3
Please help

Answers

Answer:

f ' [x] = 0

Step-by-step explanation:

Escribir un 8% como un decimal

Answers

Answer:

8% como un decimal es 0.08%

Espero que te ayude!

PLEASE HELP! WILL MARK BRAINLIEST!


The path of a seat on a new Ferris wheel is modeled by x = –25sin(StartFraction pi Over 30 EndFraction t) and y = –25cos(StartFraction pi Over 30 EndFraction t) + 30, where distances are measured in feet. What is the maximum height a rider will experience?


50 feet

55 feet

60 feet

80 feet

Answers

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

[tex]X(t)=(x,y)[/tex]

In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.

For this exercise :

[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].

The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]  ⇒

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]

Now we equalize [tex]y'(t)[/tex] to 0 ⇒

[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]

In this case it is easier to look for the values of ''t'' that verify :

[tex]sin(\frac{\pi}{30}t)=0[/tex]

Now we need to find the values of ''t''. We know that :

[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]

Therefore we can write the following equivalent equations :

[tex]\frac{\pi}{30}t=0[/tex] (I)

[tex]\frac{\pi}{30}t=\pi[/tex] (II)

[tex]\frac{\pi}{30}t=-\pi[/tex] (III)

From (I) we obtain [tex]t_{1}=0[/tex]

From (II) we obtain [tex]t_{2}=30[/tex]

And finally from (III) we obtain [tex]t_{3}=-30[/tex]

We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒

[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]

Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒

If [tex]y''(t_{n})>0[/tex]  then we will have a minimun at [tex]t_{n}[/tex]

If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]

Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]

[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]

[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y(t_{2})=y(30)=55[/tex]

[tex]y(t_{3})=y(-30)=55[/tex]

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

-2 1/3 - (-5)=___

3 1/3

3 2/3

-7 1/3

2 2/3

Answers

Answer:

10/3 or 3 1/3

Step-by-step explanation:

-2 1/3=-5/3

-5/3-(-5)

-5/3+5

-5/3+15/3

10/3

answer : -2 1/3 - (-5) = [tex]2\frac{2}{3}[/tex]

explanation : we need to convert the mixed numbers to improper fractions, then find the LCD and combine.

step 1 : convert the mixed number to an improper fraction

ex: [tex]-\frac{7}{3}-(-5)[/tex]

step 2 : when there is a - in front of an expression in parentheses, change the sign of each term in the expression

ex : [tex]-\frac{7}{3}+5[/tex]

step 3 : calculate the sum

ex : [tex]\frac{8}{3}[/tex]

solution : [tex]\frac{8}{3}[/tex]

simplify: [tex]2\frac{2}{3}[/tex]

exact form : [tex]\frac{8}{3}[/tex]

decimal form : 2.66666666 (repeating)

mixed number form : [tex]2\frac{2}{3}[/tex]

hope this helps !

- audrey ♡

You pick a card at random. Without putting the first card back, you pick a second card at
random.
3 4 5 6
What is the probability of picking a 5 and then picking a 3?
Write your answer as a fraction or whole number.

Answers

Answer:

4

Step-by-step explanation:

Which situations can be modeled by a linear function?

Answers

Answer:

A, C, E

Step-by-step explanation:

Multiples of 6 and 14

Answers

Answer:

Step-by-step explanation:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54

14: 14, 28, 42, 56

the LCM (least common multiple) is 42.

What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2 ? (6 points)

Answers

Answer:

Please check my interpretation of your written equation.

Step-by-step explanation:

f(x) = (-x^2 - 2x - 2)/(x-2)

Wild.  See attached graph.

Other Questions
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 3.5%. Non money is added or withdrawn from the account. How much will be in the account after 5 years? How much will be in the account after 20 years? Find the area. The figure is not drawn to scale. a1440 in.2 b1188 in.2 c138 in.2 d69 in.2 madhur bhasha ki kya kya visheshtaen hai? The election of Abraham Lincoln led Southern states to secede because: They hoped most northern states would secede with them. They claimed that John Breckinridge had actually won the electionThey believed Lincoln would not attempt to stop them. They viewed Lincoln as a threat to slavery in their states. what is 3(x-6)+4x+18 List at least three ways in which the Khalifa Foundation can help the poor and needy to meet their basic needsplease help Which two expressions have the same value? Why is it more difficult to end de facto segregation than de jure segregation? Select the correct answer.What is the value of this expression if h = 8, j = -1, and k= -12?. 3B12 C.36D-12PLEASE HELP ME Why does my finger smell like poopoo? Voici ton dernier examen crit. Pour cet examen, cris quatre paragraphes. Chaque paragraphe doit avoir au moins huit phrases.1- Dans le premier paragraphe, parle de ta ville, ta maison et tes voisins.2- Dans le deuxime paragraphe, parle de tes amis, dcris-les et parle de la raison pour laquelle vous tes amis.3- Dans le troisime paragraphe, parle des voyages que tu as fait et des pays que tu aimerais visiter un jour.4- Dans le quatrime paragraphe, parle de ce que tu aimes et n'aimes pas manger.Bonne chance! Whos able to Answer? Fill in the blank with the appropriate adjectif possessif to complete the sentence.14. Nous avonsanimaux chez nous. 5x+3x+2y+4y (simplify) pweeze help Use the following net to find the surface area of the solid figure it represents. 144 yd 2 48 yd 2 88 yd 2 94 yd 2 Which is the most logical question to add to the Compare the stories The Way to Rainy Mountain and "How the World Was Made." How do you think the purpose and themes ofAmerican Indian stories have changed over the centuries? Why do you think changes have taken place? Cite evidence from both textsto support your analysis Which sequences are converging? Check all that apply.ann410n3n2-2nan2n2an=25 - 4n32n2-n.n2 +5n+6ann +3m2-n +6n3 3n explain how the popular and electoral college votes describe the presidency. the domain and range of the given set of points?(0,8) (-5,-8) (9,1) (0,0) (-6-7)