Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?

Answers

Answer 1

Answer:

[tex]-\frac{7}{25}[/tex]

Step-by-step explanation:

Answer 2

Value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

What is trigonometric ratio?

" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."

Identity used

[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]

According to the question,

Given value of trigonometric ratio,

[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]

Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,

[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]

Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex]  the trigonometric identity ,

[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]

Hence ,  value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

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Related Questions

A 4-pack of museum tickets costs $30.28. What is the unit price?

Answers

Answer:

7.57

Step-by-step explanation:

30.28/4 = 7/57

2(x - 3) = -8

can someone explain to me how to slove this without calculator please and thank you<3​

Answers

The answer is X=-1

Answer:

-1

Step-by-step explanation:

Distribute

2(x-3)=-8

2x-6=-8

2x=-2

DIVIDE 2 on both sides

x=-1

Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per
ride is 50¢. If his parents gave him $20, write and solve a linear equation to find how many
rides he can go on.

Answers

Answer:

I think 40

Step-by-step explanation:

20/.50

Answer:

30 rides

Step-by-step explanation:

First subtract $5 from $20 (20-5) to get $15 now multiply 15 by 2 (which is the same as dividing by 1/2. and you get 30. so your answer is 30 rides

20-5=15       15x2=30     30 rides

Jacob buys 6 game tickets and 3 ride tickets at a carnival for $39. Emily buys 2 game tickets and 2 ride tickets for $18. Find the cost of a game ticket and the cost of a ride ticket at the carnival. Set up and solve a system of equations.
Your answer:

Answers

Answer:

Cost of ride ticket = $5

Cost of game ticket = $4

Step-by-step explanation:

Given that:

Let ;

game ticket = g

Ride ticket = r

Jacob :

6g + 3r = 39 - - - (1)

Emily :

2g + 2r = 18 - - - - (2)

Divide (2) b y 2

g + r = 9 - - - - (3)

From (3)

g = 9 - r

Substitute ; g = 9 - r into (1)

6(9 - r) + 3r = 39

54 - 6r + 3r = 39

54 - 3r = 39

-3r = 39 - 54

-3r = - 15

r = 5

Put r = 5 in (g = 9 - r)

g = 9 - 5

g = 4

Hence,

Cost of ride ticket = $5

Cost of game ticket = $4

any one know the answer plz i will give brainlyest

Answers

Answer:

Step-by-step explanation:

P=2*9+2*4

P=18+8

P=26 in.

What percent of $18 is $6?

Answers

33.333% (with the 3 repeating)

1/3 of 18 is 6, so 33.333% (with the 3 repeating) of 18 would be 6.

Answer:

33.333% (its a repeating 3)

Step-by-step explanation:

$6 is 33.33% of 18.

I got this number by dividing 6 by 18, which gave me 0.33333333333.

I then converted 0.33333333333 to a percentage, rounded, and got 33.33%.

I need Your help plish​

Answers

Answer:

5

Step-by-step explanation:

Because there is zones

The sum of 3 consecutive numbers is 72. What is the largest of these numbers?

23
25
26
28

Answers

Answer:

25

Step-by-step explanation:

23+24+25=72

hope i helped!! :)

( if it is right, pls mark brainliest!!)

Answer:

25

Step-by-step explanation:

let x represent the first consecutive number.

let x+1 represent the second consecutive number.

let x+2 represent the third consecutive number.

x + x+1 + x+2 = 72

3x + 3 = 72

3x = 72 - 3

3x = 69

3x/3 = 69/3

x= 23

first number= x = 23

second number = x+1

= 23+1

=24

third number= x+2

=23+2

=25

the largest of these numbers is 25

Write the symbolic expression in words:
PLEASE SOMEONE HELP

Answers

Answer:

The expression “32” is a symbolic term. ... This means the term has variable meaning depending on which value is substituted for x. For example, if you set x=−2, you get (−2)2, another name for 4. x2−6x+4y (mentioned above) is symbolic term with two variables.

I hope that helps im only in 8th grade so I don't fully understand it either lol

A washer and a dryer cost combined $664 The washer costs $36 less than the dryer. What is the cost of the dryer?

Answers

Answer: 350?

Step-by-step explanation:

664-36=628

628 divided by 2= 314 (cost of the washer)

314+36= 350

Hope this helps!

There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?

Answers

Answer:

3 benches needed

Step-by-step explanation:

Answer:

3 benches

Step-by-step explanation:

4 people to one bench

12 people divided by 4 = 3 benches

Please help this math question is kinda confusing to me just a little bit. Please explain. Thanks

Answers

Step-by-step explanation:

Add both lengths and you see the overlap thats 12 cm so subtract that to get the length.

Answer:

1.94 m

Step-by-step explanation:

1 meter=100cm

Then we need to convert the two lengths which is 135 cm and 83 cm

so then since it is overlap we multiply by two 12 cm*2= 24 cm

Then we add 135 and 83= 135+83 = 218 cm

218 cm - 24 cm = 194 cm

So then 194 cm to m = 1.94 m

PLEASE give Brainliest

one-eight a number is two more than one-fourth the number. What is the number?​

Answers

Answer:

40

Step-by-step explanation:

40/4 = 2+40/5 = 10

ABC is a straight line. which equation can be used to find the measure of the unknown angel?

Answers

Answer:

A: 180 -45

Step-by-step explanation:

Since it is a straight angle, it will equal 180 degrees. Since 45 is already taken, u would subtract it from 180.

180-45=135

thus, your answer is 180-45

hope I helped!!!

4x + 11y = 36, What is the x intercept (let y = 0)? *

Answers

To find the x intercept we must put zero instead of the y in the function.

Let's do it....

[tex]4x + 11(0) = 36[/tex]

[tex]4x + 0 = 36[/tex]

[tex]4x = 36[/tex]

Divided sides by 4

[tex] \frac{4}{4}x = \frac{36}{4} \\ [/tex]

[tex]x = 9[/tex]

Thus the x intercept is 9 .

And we're done....

♥️♥️♥️♥️♥️

Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3

Answers

it’s is in standard form...

3.4 x 10^3 in standard notation

Answers

Answer:3400

Step-by-step explanation:

Answer:

3240

Step-by-step explanation:

3.24

×

10

3

=

3.24

×

1000

This means you move the decimal spot 3 digit spaces to the right.

Count 3 spaces:

3.2.4.0 →

3240

So then your number becomes

3240

Farmer Jane has many hens that have laid many eggs. Before the eggs hatch, Jane wants to
count how many eggs are blue, how many are brown, and how many are white.
Jane counts that, of all the eggs, 6 are blue and 25% are brown.
If 10% of the eggs are blue, how many of the eggs are white?
a) 15
b) 21
c) 39
d) 65

Answers

Answer:

The correct option is;

c) 39

Step-by-step explanation:

The given information are;

The number of eggs that are blue = 6

The percentage of eggs that are brown = 25%

The percentage of eggs that are blue = 10%

Let the number of eggs Jane has = X

Therefore;

10% of X = 10/100 × X = 6

X = 6 × 100/10 = 60

The number of eggs Jane has = X = 60

The percentage of the eggs that are white eggs = 100 - (The percentage of eggs that are brown + The percentage of eggs that are blue)

The percentage of the eggs that are white eggs = 100 - (10 + 25) = 65%

The percentage of the eggs that are white eggs = 65%

∴ The number of  eggs that are white = 65% of X = 65/100 × X= 65/100× 60 = 39 eggs

The number of  eggs that are white = 39 eggs.

is 13/3 rational or irrational and why?

Answers

Answer:

The decimal form of 13/3 is a rational number. and decimals are rational

Multiply. Write your answer as a fraction in simplest form.

5/6(−8/15)=

Answers

Answer:

-4/9

Step-by-step explanation:

I used a calculator.

5/6(−8/15) in simplest form is -4/9.

What is a fraction ?

A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.

According to the given questions we have to multiply two fractions        (5/6)(-8/15) which is

= -40/90.

= -4/9.

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HELPP!!! I need help!

Answers

Answer: c.

Step-by-step explanation:

x^2 + 2x - 5 - (x - 3)

distribute the negative

x^2 + 2x - 5 - x + 3

combine like terms

x^2 + x - 2

Answer:

B

Step-by-step explanation:

You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.

plz help ASAP please please ​

Answers

Answer:

9030.75

Step-by-step explanation:

5039.16/.558=9030.752688

round to the nearest hundredth

9030.75

i think

It’s 9030.75268817 if you round it it’s 9030.75

Find the slope help plz​

Answers

Answer:

The slope would be 10/15 or 2/3 in simplest form.

Jason solved the following equation to find the value for
X.
-8.5x – 3.5x = -78
x = 6.5
Describe how Jason can check his answer.
I

Answers

Answer:
Jason can check his answers by plugging in 6.5 in where x is shown.

Explanation:
-8.5x6.5-3.5x6.5
Where the 6.5s are is where x was and it was a multiplication because x is next to the number

Answer:

we know, that  If the x value is a solution to the equation, the x value must satisfy the equation. so It is true.

Step-by-step explanation:

just copy and paste it, its right


[tex] \frac{100}{1000} = {10}^{x} [/tex]

Answers

Exact Form:
X=1/100

Decimal form:
X=0.01




Caleb paid $4.50 for 12 bagels. Which of the following have a unit price for bagels that is greater than the unit price Caleb pald? Select all that
apply
A) $2.25 for 6 bagols
B) $13.50 for 10 bagels
c) $3.30 for 6 bagols
D) $5.00 for 12 bagets
E) $8.10 for 18 bagels

Answers

B, C, D, and E because all their unit prices are higher then what Caleb paid. You find the unit price by dividing the money by the amount of bagels.

Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

unit price of something is price of 1 thing.

LEts suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

Given that Caleb paid $4.50 for 12 bagels.

Unit price = 4.50 / 12 = 0.375

A) $2.25 for 6 bagols

Unit price = 2.25 / 6 = 0.375

B) $13.50 for 10 bagels

Unit price = 13.50 / 10= 1.35

c) $3.30 for 6 bagols

Unit price = 3.30 / 6 = 0.55

D) $5.00 for 12 bagets

Unit price = 5.00 / 12 = 0.41

E) $8.10 for 18 bagels

Unit price = 8.10 / 18 = 0.45

Hence, Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.

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3(3x - 1) + 2(3 - x) = 0

Answers

Answer:

-3/7

Step-by-step explanation:

Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),

Answers

you would need to put 4 in for (n)so, 5(4)+8 then solve. 5 times 4=20 plus 8 is 28. I hope I could help!

The value of the function f(n)=5n+8 for f(4) will be 28.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

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please help me with this

Answers

D- 42

It needs to equal 180, and 180-138 is 42

Answer:

The answer is D: 42

Step-by-step explanation:

Angle 7 and angle 138 are supplementary and must add up to 180

Angle 7 is congruent to angle 6 through CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Angle 7 and 6 are corresponding angles

you must find angle 7 becasue Angle 7= Angle 6

angle 7=x

138-x=180

solve for equation you get

x=42

Angle 7 = 42

so that means that Angle 6 is 42

2x2 – 3x -9= (Factor completely.)​

Answers

Answer:

The answer is 31. :)

Step-by-step explanation:

it should be (2x+3) * (x-3)
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