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.

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Related Questions

Which expression is equivalent to

Answers

Answer:

[tex]-12(3x - \frac{3}{4} ) = -36x + (\frac{3*12}{4}) = -36x + (3*3) = -36x + 9[/tex]

option  4

Which net represents this rectangular prism?

Answers

Answer:

The top right net would

Hope this helps!

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

The net in option A represents the rectangular prism.

Option A is the correct answer.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The rectangular prism has 6 faces.

The net in option A represents the rectangular prism.

Thus,

The net in option A represents the rectangular prism.

Option A is the correct answer.

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Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?

Answers

Answer:

B

Step-by-step explanation:

Not much to explain

Andrea tiene 40 dulces y los reparte entre sus seis amigos Cuántos dulces Le tocará a cada uno​

Answers

Answer:

This is an english server.

Step-by-step explanation:

Respuesta :

siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete

Espero que te sirba

The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.

Number of T-Shirts Total Cost (dollar)
11 153
16 213
21 273

Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
A.
c(t) = 12 + 12t
B.
c(t) = 21t
C.
c(t) = 21 + 12t
D.
c(t) = 132t

Answers

Answer:

C. c(t) = 21 + 12t

Step-by-step explanation:


Melly wants to simplify the expression 323/5

Answers

Answer:

64 3/5

Step-by-step explanation:

Your answer would be 643 3/5, hope this helps!!

Bailey ran 1 mile and 14 yards.How many total feet did bailey run?
A.1,774 feet
B.5,280 feet
C.5,294 feet
D.5,322 feet

Answers

Answer:

D. 5,322

Step-by-step explanation: 5280 feet in 1 mile, 42 feet in 14 yards

Answer:

D: 5,322

Step-by-step explanation:

There are 5280 feet in a mile and 42 feet in 14 yards add them and you get 5,322

In ΔOPQ, q = 6.5 inches, o = 8.6 inches and ∠P=55°. Find ∠Q, to the nearest 10th of an degree.

Answers

Answer:

∠Q = 35.5°

Step-by-step explanation:

We are given;

q = 6.5 inches

o = 8.6 inches

∠P = 55°

Let's first use cosine rule to find p.

p² = q² + o² - 2qo cos P

Plugging in the relevant values;

p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)

p² = 42.25 + 73.96 - 32.0629

p² = 84.1471

p = √84.1471

p = 9.17 inches

Using sine rule, we can find ∠Q;

p/sin P = q/sin Q

sin Q = (q•sinP)/p

sin Q = (6.5 × sin 55)/9.17

sin Q = 0.5806

Q = sin^(-1) 0.5806

Q ≈ 35.5°

Answer:

47.5  

Step-by-step explanation:

From delta math

Elijah earns $200 for 8 hours of work.What is the rate (in dollars per item)

Answers

25 dollars per hour should be the correct answer

iready question 8 which graph does not represent a function​

Answers

Answer:

The one that makes a circle

Step-by-step explanation:

You are making bags of trail mix for a field trip. You have 12 ounces of peanut and 36 ounces of cashews. You need to have the same amount of nut in each bag. What is the greatest number of bags that you can make that will have the same number of ounces of nuts in each bag.

Answers

Answer:

12 bags

Step-by-step explanation:

A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 12 birthstones be

arranged around the bracelet?

O 10!

11!

O 12!

Answers

Answer:

10

Step-by-step explanation:

I think I hope this helps

HELP PLEASE!!!!!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

GIVING BRAINLIEST, EASY 7TH GRADE MATH PROBLEM.

Answers

Answer:

Step-by-step explanation:

c

Please help me y’all!!

Answers

Answer:

d

Step-by-step explanation:

hope this helps

Is the following relation a function?
O Yes
O No


HELPPP!!!

Answers

It’s a relation……………….

Answer:

yes the following relation is a function

HELP ME NOW I NEED HELP

Answers

Zeros:

x = -11

x = 11

Positive zero: 11

Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A 0.49
B. O 0.444
c. O 0.49
D. 0.444

Answers

Answer:

.....Your answer is D

...

.

What is the measure of angle L? Round to the nearest hundreth.
Help please!!

Answers

Answer:

60.57

Step-by-step explanation:

The angle L can be found using the inverse sine function.

L=arcsin(opp/hyp )

L=arcsin(2.7/3.1)

L =60.57129282

I have a bag of marbles. 4 are blue, 3 are orange, 2 are red, and 1 is purple.

What color will most likely be drawn?


What is the probability of pulling an orange?
What is the probability of pulling a red AND THEN a purple?


What is the probability of pulling a white?

Answers

Step-by-step explanation:

most likely be drawn: blue

pulling orange: 3/10

pulling red: 2/10 or 1/5

pulling purple: 1/10

pulling white: 0

Whats the answer to this?

Answers

Answer:

option D

Step-by-step explanation:

:)

Help, please.
The (blank) family’s laptop has the greater initial resale value.

During the first four years, the resale value of the Sawyer family’s laptop decreases at an average rate (blank) the resale value of the Ruiz family’s laptop.
First blank: Sawyer, Ruiz Second blank: Faster than, slower than, equal to

Answers

Answer:

His laptop decreases

Step-by-step explanation:

It decreases at a rate of 12% and in 4 years will be worth 52% of the original price.

Answer:

First blank: Sawyer

Second blank: faster than

Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a and 5b are like terms, so they can be combined. Is Rosa correct? Is Tiffany correct? Why or why not?
please help =)

Answers

Answer:

Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.

Step-by-step explanation:

Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.

Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.

a. What is the minimum value of the modulus of n?

√10

Provide one example of the complex number, n.



A = J → 2 + 6i

B = F →75

C = H → -3 - i

D = I → 1 + i

E = G → 5 + 5i

these are my matching pairs

Answers

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

Let n be x+yi

So

√(a²+b²+2²+6²)=3√10√a²+b²+40=3√10a²+b²+40=90a²+b²=50

Minimum value is 5+5i as 5²+5²=50

Worth 38 points!!
What is the area of this figure?
Enter your answer in the box.
units2

Answers

Answer:54

Step-by-step explanation: It’s in the picture

The polygons in each pair are similar. Solve for x.*

Answers

Answer:

X = 6

Step-by-step explanation:

Heights is 5x

Lengths is 6x

The solution for the x is 7 as per the concepts of similar polygons.

Given that the polygons in each pair are similar.

To find the value of x, we can set up a proportion between the corresponding side lengths of the two similar polygons.

We have the following proportion:

(6x - 7) / 42 = 25 / 30

To solve this proportion, we can cross-multiply:

30(6x - 7) = 42(25)

Simplifying further, we get,

180x - 210 = 1050

Next, we isolate the variable by adding 210 to both sides of the equation:

180x = 1260

Finally, we divide both sides by 180 to solve for x:

x = 1260 / 180

Simplifying:

x = 7

Therefore, the value of x is 7.

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Could someone please show me how to factor this using the x method

Answers

Answer:

(x + 2) (8x + 3)

Step-by-step explanation:

[tex]8x^{2}[/tex] + [tex]19x + 6[/tex]

= (x + 2) (8x + 3)

L = 3/a = 3/8

R = 16/a = 16/8 = 2

\ac/

L V R

/ \

/ b \

where letters have their usual meaning. Comparing 8x² + 19x + 6 to ax² + bx + c,

ac = 8*6 = 48

b = 19

Factors of ac or 48 :-

1 * 48

2 * 24

3 * 16

As the sum of 3 and 16 is 19(or b), our required pair is 3 and 16.

On the left side:

L = 3/a = 3/8

On the right side:

R = 16/a = 16/8 = 2

Therefore, factorized form is (x + 3/8)(x + 2) which can be written as (8x + 3)(x + 2).

How this method works:

Make a X with ac and b on the top and bottom of the X, where ac and b are taken from ax² + bx + c.

On the left side we have d/a and e/a. Basically d and e are those values that we get after solving the whole question.

Step1: find the pair(s) for which sum of factors of ac = b. Here it is 3 and 16.

Step2: put these values in place of d and e.

Step3: solve left anf right of X,

Left = d/a = 3/8

Right = e/a = 16/8 = 2

Step4: whatever you get, put that in (x+?)(x+?) in place of ?.

What is the radius of D?



16 cm
8 cm
32 cm
4 cm

Answers

It’s 8 because in a diameter there are 2 parts so you divided 16 by 2 and u will get 8 and when u add 8 and 8 u get 16.

Answer:

answer is 16 cm =8 cm

8 cm = 4 cm

32 cm = 16 cm

4 cm = 2 cm

c(n) = -6(-1/3)^n-1 Which is the 2 or term of the succession?​

Answers

Answer:

the first term will be n=1 and the second term is n=2

Step-by-step explanation:

Hope this is Helpful! :)

Have a nice day!

what is (3 + 12) - 3² + 8 · 2 ÷ 4 ?
(please show how/ show work)

Answers

Answer:

10

Step-by-step explanation:

(3 + 12) - 3² + 8 · 2 ÷ 4

15 - 9 + 16 : 4

6 + 4

10

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