If cos θ = sin 2 θ, then the value of θ is = ___?​

Answers

Answer 1

Given that:

Cos θ = Sin 2θ

⇛ Cos θ = 2 Sin θ Cos θ

⇛ Cos θ / Cos θ = 2 Sin θ

⇛ 1 = 2 Sin θ

⇛ 1/2 = Sin θ

⇛ Sin θ = 1/2

⇛ Sin θ = Sin 30°

⇛ θ = 30°

Therefore, θ = 30°

Answer :-The value of θ for the given problem is 30°

Check:-

LHS = Cos θ

⇛ Cos 30°

⇛ √3/2

RHS = Sin 2θ

⇛ Sin (2×30°)

⇛ Sin 60°

⇛ √3/2

LHS = RHS is true for θ = 30°

»If you have any doubt, then you can ask me in the comments.


Related Questions

What equation represents this sentence? 5 less than a number is 12. n−5=12 5=12−n 5=n−12 5−n=12

Answers

Answer:

n-5=12

This is the answer

The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

What is Algebra?

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

The given statement is "5 less than a number is 12"

According to the given question, translate the phrase into an algebraic form :

⇒ n - 5 = 12

Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"

Now the above equation solves for variable n,

⇒ n - 5 = 12

Add 5 to both sides of the above equation,

⇒ n = 12 + 5

⇒ n = 17

Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

which option is right??

Answers

Side- Angle- Side
is the correct answer

hope this helps :)

Answer:

its the third choice

Step-by-step explanation:

Side angle side cuz there r 2 sides congruent in the picture shown above.

What is 608 + 17.25?

Answers

Answer:

625.25

Step-by-step explanation:

the answer is 625.25

Answer: 625.25

Step-by-step explanation:

calculate lim F(X)
[tex] {x }^{2} + 1 - 3 \frac{ ln(x) }{x} [/tex]

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's the step:

[tex]x^2+1-3\frac{In(x)}{x}[/tex]

[tex]Mutiply[/tex] [tex]by:[/tex] [tex]3[/tex]

[tex]. \frac{In(x)}{x} :\frac{3In(x)}{x}[/tex]

[tex]= x^2+1-\frac{3In(x)}{x}[/tex]

ANSWER:

[tex]= x^2+1-\frac{3In(x)}{x} .[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

how can you determine whether two systems of equations are equivalent?

Answers

Two systems of equations are equivalent if they have they have the same solution/solutions.

URGENT WILL GIVE BRAINILY
Alex drives at a speed of 60 miles per hour. How long will it take to drive 330 miles?​

Answers

Answer:

5.5 hours

Step-by-step explanation:

time = distance/speed

t = 330/60

t = 5.5 hours

Eight less than the product of eleven and a number is negative nineteen. Find the number

Please help and show the answer thank uou

Answers

Answer:

-217 is the answer.

Step-by-step explanation:

negative nineteen is -19

eleven = 11

and from their product we have to subtract 8.

so,

-19×11

= -209

-209-8

= -217.

hope it helps you

plzz plzz plzz mark as brainliest

Answer:

the number is -1

Step-by-step explanation:

Let the number be x. PROOF

11x-8=-19. (11×-1)-8=-19

11x=-19+8

11x=-11

11x/11=11/11

x=1

Which description matches the object?
O A. The object is a square with a circle inside of it. Each side of the
square is a diameter of the circle.
B. The object is a circle with a square inside of it. The sides of the
square are radii of the circle.
C. The object is a circle with a square inside of it. The sides of the
square are chords of the circle.
D. The object is a circle with a square inside of it. One side of the
square is a diameter of the circle.

Answers

It would be D! feel free to mark me brainlist!

symbol. Write your answer in your notebo and اله 1. 7 is added to the sum of 7 3 2. 2 - subtracted from 11 is equal to 8 1 4 4 3. The total of 8 - and 11 7 14 1/2 and D ​

Answers

Answer:

X=5/2

4(x+2)2=36

(4x+8)2=36

8x+16=36

8x=36-16

8x=20

X=20/8

X=5/2

Step-by-step explanation:

Hope this helps:)

The value in cents of a nickels, The value in cents of a dimes =, The value in cents of a quarters = , The value in cents of a dimes and one quarter = ,The value in cents of 13 dimes =​

Answers

The value in cents of a nickels = 5a

     [] A nickle is worth 5 cents, so 5a is the value of a nickles

The value in cents of a dimes = 10a

     [] The value of a dime is 10 cents, so 10a is equal to a dimes

The value in cents of a quarters = 25a

     [] A quarter is worth 25 cents, so 25a is the value of a quarters

The value in cents of a dimes and one quarter = 10a + 25

     [] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter

The value in cents of 13 dimes =​ 130

     [] A dime is worth 10 seconds, so 13 * 10 = 130

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Please help! (Urgent)
Only answer if correct.

I will be asking more so stay tuned.

Answers

Answer: it takes 1/5 revolutions per foot and the slope is 5

Step-by-step explanation:

1. In the expression at aⁿ,n is called
a. exponent
b.base
c. variable
d.number​

Answers

a. exponent that is a short answer but i need more words hope u have a good day :)

amir is buying tickets for the $120 million lottery. If he buys tickets with his brother

Answers

Answer:

$20 million.

Step-by-step explanation:

Amir is buying tickets for the $120 million lotteries. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother’s four friends, and they will each get

The illustration provided in the question is an example of an inverse variation.

What is an inverse proportion?

When there is an inverse proportion, as one of the variable increases, the other variable decreases. As the number of people who share the money increases, the amount of money each person would get would become smaller.

The formula used to represent inverse proportion is:

y =  k/x

• y = dependent variable

• x = independent variable

• k = constant of proportionality

Here is the complete question: Amir is buying tickets for the  million lottery. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother's four friends, and they will each get  million. Is this an example of direct, inverse, or joint variation?Joint variationInverse variationDirect variation

To learn more about inverse proportion , please check: https://brainly.com/question/25748643

find the value of x for which f(x)=4

Answers

[tex] \: \: \: [/tex]

[tex]f(x) = 4[/tex]

The domain of a constant function is the set of all real numbers

[tex]x = R[/tex]

hope it helps

[tex] \: \: \: [/tex]

2000 tennis balls are divided into packs of 3 how many more tennis balls are needed to make another full pack

Answers

Answer:

664

Step-by-step explanation:

666 balls to make a full pack

666x3=1998

6000-1998=2

666-2=664

If f (g(x)) = Square root x+8, identify the inside function g(x) and the outside function f(x) of the composite function.

Answers

Answer:

Given composite function:

f(g(x)) = √(x + 8)

Possible functions that compose it:

g(x) = x + 8

and

f(x) = √x

IN THE MIDDKE IF EXAM PLS HELPQuestion 3(Multiple Choice Worth 4 points)
Find the length of the unknown side. Round your answer to the nearest whole number.
5 in
5 in
7 inches
10 inches
25 inches
50 inches

Answers

Answer:

7 inches

Step-by-step explanation:

5 square + 5 square=50

the square root of 50 is 7.07

7.07 to the nearest whole number is 7

Answer:

7 Inches

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

5² + 5² = c²

50 = c²

[tex]\sqrt{50}[/tex] = c

c = 7.07

ROUND

c = 7 inches

According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.​

Answers

Using Venn probabilities, it is found that there is a 0.08 = 8% probability that the customer only likes iced coffee.

In this problem, the events are:

Event H: Liking hot coffee.Event I: Liking iced coffee.

The probability of only liking iced coffee is:

[tex]P(I \cap H^c) = P(I) - P(I \cap H)[/tex]

30% like iced coffee, hence [tex]P(I) = 0.3[/tex].22% like both hot and iced coffee, hence [tex]P(I \cap H) = 0.22[/tex]

Then:

[tex]P(I \cap H^c) = P(I) - P(I \cap H) = 0.3 - 0.22 = 0.08[/tex]

0.08 = 8% probability that the customer only likes iced coffee.

A similar problem is given at https://brainly.com/question/24707032

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

D. -3

Step-by-step explanation:

g(x) moved 3 units to the right

Greg paid $324.50 for guitar lessons. He paid a $124.50 registration fee and $40 for each week he was enrolled in lessons. What is w, the number of weeks Greg was enrolled in guitar lessons?

Answers

5 week is the answer because 324.50 - 124.50 since it’s a one time payment so now it’s remaining is 200/$40 a week = 5 weeks

If $2,940.00 is invested for 4 months at 3.8% simple interest:
What is the amount of interest earned?

Answers

Answer:

I = $372.40

Step-by-step explanation:

Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:

Use the following simple interest formula to solve for the interest earned:

I = P × r × t

where:

I = interest earned

P = principal amount invested = $2,940

r = interest rate = 3.8% or 0.380

t = time = 4/12 months = ⅓ or 0.3333

Substitute to given values into the simple interest formula:

I = P × r × t

I = $2,940 × 0.380 × 0.3333

I = $372.40

Therefore, the simple interest earned in 4 months is $372.40.

Please help me ASAP please olease

Answers

Answer:

x=100 degree's

Step-by-step explanation:

Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.

Answer:

pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.

3. Your bedroom is 14 feet by 10 feet and your sister's room is 12 feet by 10 feet. If you
are going to paint both rooms the same color and the paint covers 250 square feet per
gallon, how much paint will you need if you are going to paint the walls and ceilings?
Assume the ceiling is 8 ft high.

Answers

Step-by-step explanation:

we paint the walls and ceilings.

and we ignore any doors or windows (no information about them).

so, each room has then 5 rectangles : 4 walls and 1 ceiling.

when we say a room is 14 ft × 10 ft, this also means there are 2 sides of 14 ft and 2 sides of 10 ft.

and the area is 14×10 ft².

the area of the ceiling is the same as the area of the floor : 14×10 = 140 ft²

for the walls we have 2 rectangles of 14×8 = 112 ft², and 2 rectangles of 10×8 = 80 ft² (remember, the height of the room is 8 ft).

for the sister's room it is similar.

just a 12×10 = 120 ft² ceiling.

and 2 rectangles of 12×8 = 96 ft² and again 2 rectangles of 10×8 = 80 ft² as walls.

altogether we have then

140 + 112 + 112 + 80 + 80 + 120 + 96 + 96 + 80 + 80 ft²

that is in total

996 ft²

how many gallons of paint do we need for this ?

well, 1 gallon per 250 ft².

so, how often does 250 fit into 996 ?

996 / 250 = 3.984 gallons.

since we get the paint most likely only in quantities of gallons, we need 4 gallons for the paint job.

Find the odds for and the odds against the event rolling a fair die and getting a 1,a4,a3 or 5

Answers

Answer:

Step-by-step explanation:

Assuming we're rolling a cube die with 6 sides.

Odds for rolling any of 1, 4, 3, or 5 has four possible successes

4/6 = 2/3

Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6

2/6 = 1/3

find the area of the shaded region​

Answers

Answer:

Step-by-step explanation:

2 rectangles 2.5 x 3.5 and 2 rectangles 2 x 3.5

A = 2(2.5)(3.5) + 2(2.0)(3.5)

A = 7(2.5 + 2.0)

A = 7(4.5)

A = 31.5 cm²

please work QUICK its a test​

Answers

If you’re solving for d, it would be d = 10-3i

A snack company makes packages of grapes and honeydew slices. The weight of an individual package of
grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91
ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a
mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random
variables. Let D=G-H. What is the probability that a randomly selected package of grapes weighs more than a
randomly selected package of honeydew slices?
O 0.127
O 0.230
0.284
0.334

Answers

Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

In a normal distribution 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]

It 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, which is the percentile of X. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]

For the subtraction, we have that:

[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]

[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]

The probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.

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

[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]

[tex]Z = 0.57[/tex]

[tex]Z = 0.57[/tex] has a p-value of 0.7157.

1 - 0.715 = 0.284

0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

A similar problem is given at https://brainly.com/question/24663213

which of the following explains why 2/3(x+3)=2/3(x-6)has no solution​

Answers

Answer:

D. The coefficients are the same, and the constants are different

Step-by-step explanation:

This means that because we have the same coefficient (2/3), if we wanted the same equation, the constants (x +/- #) would have to be the same, and since they are not in this instance, that makes the equation false, and therefore has no solution

when is a number divisible by 6?

Answers

3 and 2 are divisible
3,2, and 1 are all divisible by 6

consider h(x)=x^2+8+15. identify its vertex and y-intercept.

Answers

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].

Use the equation:  [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex]

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.

[tex]x = \frac{-b}{2a}[/tex]

[tex]x = \frac{-8}{2(1)}[/tex]

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

Solve for the Y-intercept:

The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

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