Which expression is equivalent to Sine (StartFraction pi Over 12 EndFraction) cosine (StartFraction 7 pi Over 12 EndFraction) minus cosine (StartFraction pi Over 12 EndFraction) sine (StartFraction 7 pi Over 12 EndFraction)?

Which Expression Is Equivalent To Sine (StartFraction Pi Over 12 EndFraction) Cosine (StartFraction 7

Answers

Answer 1

Answer:

EndRoot Over 2 EndFraction

StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Answer 2

On using the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we calculate that  [tex]sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) =sin(\frac{-\pi }{2} )[/tex].

What are trigonometric identities?

Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain.

[tex]=sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) \\\\=sin(\frac{\pi }{12} -\frac{7\pi }{12})\\ \\ =sin(\frac{-\pi }{2} )[/tex]

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Related Questions

true or false? y=x^2 - 1 defines y as a function of x

Answers

Answer:

true

Step-by-step explanation:

it equals to

x1= -1

and

x2= 1

Answer:

Step-by-step explanation:

y=x²-1 is not a function for every value of y , x has more than one value

ex: if x=-1 , y=(-1)²-1 then y=0

if x=1 then y=0

21. CAREERS Many professions use deductive reasoning and paragraph proofs. For example, a police officer uses deductive reasoning investigating a traffic accident and then writes the findings in a report. List a profession, and describe how it can use paragraph proofs.​

Answers

Answer:

don't know..I am not fully understand.

can u please bhut other example

Hi i need help with this "The cost of a theme park ticket is $25. The cost for 2 ticket is $50 what is the cost of 4 theme park tickets ​

Answers

Answer:

$100

Step-by-step explanation:

If 1=$25, 2=$50, then 4*25=100 and 50*2=100

Estimated sum of 71,458

Answers

Answer:

there can be a lot example:

71,000

71,500

71,460

Step-by-step explanation:

guys whats 2 minus 1??????
im still very confused please help

Answers

Answer:1

Step-by-step explanation:

Because an example is if you have two apples and eat one, then you only have one left and that goes the same for numbers!

Answer:

2-1=1

Step-by-step explanation:

hold up 2 fingers.

now put down one.

you can use this stratege for addition, too. like 2+1=3

hold up 2 fingers.

hold up one more.

count the total and there's your answer

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

Answers

Answer:

65mph

Step-by-step explanation:

Add 100 and 30 together then divide by 2. You get 65 miles per hour.

Andre says that any real number can go in either of the boxes and A will be a
polynomial. Is he correct? Explain your reasoning.

Answers

Answer:

Andy is incorrect

Step-by-step explanation:

[See attachment for complete question]

Andy is incorrect because of the following.

Filling the empty boxes with any real numbers does not guarantee that the expression will be a polynomial.

For instance, if the expression is completed as thus:

(5x⁴ + 4x³)(4x^(2.7981) - 6) = A

This expression is not a polynomial because all powers of x must be non negative and it must be an integer.

So, Andy's statement is incorrect

Look at the picture​

Answers

The answer is 41,832.

Answer:

41,832 is the answer for your question.

please help i give brainliest to whoever answers

Answers

Answer:

d

Step-by-step explanation:

if its parallel the slopes would be the same and d is the only one that has -2 as the slope

Answer:

A

Step-by-step explanation: Took The Test On K12

:)

7/4+1/2+5/3+1/3+1/4+1/2

Answers

I think the answer is 4
To find the answer, you would turn each fraction into a decimal. They would be:
7/4=1.75
1/2=0.5
5/3=1.67
1/3=0.33
1/4=0.25
1/2=0.5
1.75+0.5+1.67+0.33+0.25+0.5=5
The final answer is 5

On a ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet from the axle of the ferris wheel.
To the nearest hundreth, Sarah's angular velocity is _____ radians per minute.

Answers

Answer:

The angular velocity is 8.38 radians per minute

Step-by-step explanation:

From the question,

It takes 45 seconds to complete a full revolution,

That is, 1rev/45secs

First, we will convert this to revolutions per minute (rev/min)

1rev/45secs = [tex]\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}[/tex]

= 4/3 rev/min

Now, we will convert this to radians per minute (rad/min)

1 revolutions = 2π rad

4/3 rev/min = [tex]\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}[/tex]

= 8.38 rad/min

Hence, the angular velocity is 8.38 radians per minute

In New York the temperature was -4 Fahrenheit in the morning if the temperature dropped eight Fahrenheit what is the temperature now

Answers

Answer:

-12 Fahrenheit.

Step-by-step explanation:

Jake purchased 3 games for $11.80 each and 1 magazine for $12.95. What is the total amount Jake spent?

Answers

Answer:

$48.35

Step-by-step explanation:

$11.80 × 3 = $35.40$35.40 + $12.95 = $48.35

I hope this helps!

Simple equation with division that equals 8

Answers

Answer:

64 divided by 8

Step-by-step explanation:

Answer:

16 divided by 2 = 8

Step-by-step explanation:


Eddie Fantin is paid every two weeks. For the first week of his pay period he worked 42 hours, 4 of which were overtime hours. In the second week he worked 40 regular hours and 7 overtime hours. His regular pay rate is $14.40 an hour with time-and-a-half for overtime. What are his regular, , overtime, and total wages for the two weeks?

Answers

the total money he earns is $1260 for the two weeks

The double number line shows that 4 pounds of tomatoes cost $14. Draw tick marks and write labels to show the prices of 1, 2, and 3 pounds of tomatoes.

Answers

Answer:

every tick is 3.50

Step-by-step explanation:

14/4=3.5

The price of one, two, and three pounds of tomatoes is $10.5. Each quantity is represented by its own number line in a double number line, with corresponding pairs of values lined up.

How are double number lines created?Equal ratios are represented by two parallel number lines in a double number line diagram. The tick marks are in the same places on both number lines.Despite the fact that the other numbers change frequently, the tick marks labeled with 0 always line up.Diagrams with a double number line can show you how two quantities are related in terms of their ratios.They work best when the quantities have different units. (The unit rate is represented by the number 1) Students can more easily "see" that the same ratio can take many different comparable shapes when using double number line diagrams.

Therefore,

Given,

4 pounds of tomatoes cost  = $14

We find  the prices of 1, 2, and 3 pounds of tomatoes

14/4 = 3.5

So,

1 lb = 3.5

2 lbs = 2× 3.5 = 7

3 lbs= 3 × 3.5 = 10.5

Hence, The price of one, two, and three pounds of tomatoes is $10.5.

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Which of the following equations is equivalent to x + y = 10?


Answers

Answer:

x + y - 10 = 0

Step-by-step explanation:

x + y - 10 = 10 -10

Move the constant to the left by adding its opposite to both sides

x + y - 10 = 0

The sum of two opposites equals 0

x + y - 10 = 0

^

^

Solution

A group of 5 scuba divers started a journey at 1:00 at sea level . The descended steadily 12 feet per minute and observed 3 schools of fish and 2 coral reefs. What is the initial value ? What is the rate of change?

Answers

Answer:

7.20

Step-by-step explanation:

The equation y = −3x + 7 represents the amount of water y left in a 7-gallon tub after x minutes. What is the slope of the line? What does the slope mean in this context?

Answers

The slope here is the -3. The slope in this context means how -3 gallons are gone after each minute. For example, after 1 minute, there would be 4 gallons left.

Hope this helps!!

The slope means in this context, the draining of water is 3 gallons per minute. Then the slope of the line will be negative 3.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = −3x + 7, represents the amount of water y left in a 7-gallon tub after x minutes.

Then the slope of the line will be negative 3.

The slope means in this context, the draining of water is 3 gallons per minute.

More about the linear equation link is given below.

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Which expression is equivalent to one over three p + 15?

A.one over three(p + 45)
B.one over three(p + 5)
C.3(p + 45)
D.3(p + 5)

Answers

Answer:

one over three(p + 5)

Step-by-step explanation:

we know that

the expression " one over "  is equivalent to

--------> expression A

and

 --------> expression B

substitute the expression B in the expression A

-----> one over three

Which expression has the same value as9
- (-3)?
A 9 + 3
C9+(-3)
B-9+(-3)
D 9-(-3)

Answers

B because it rounds

Which graph shows the line y = - 3x + 1

Answers

Answer:

i need a picture

Step-by-step explanation:

If one order of fries and five burgers cost twice as much as three orders of fries and two burgers, how many times as much does a burger cost compared to one order of fries? to start the problem is 1f+5b=2 (3f+2b)

Answers

Answer:

A burger cost five times as much as a fries.

Step-by-step explanation:

Let F represent fries

Let b represent burgers

From the question:

An order of fries and five burger can be written as:

f + 5b

Three orders of fries and two burgers can be written as:

3f + 2b

But an order of fries and five burgers cost twice as much as three orders of fries and two burgers. This can be written as:

f + 5b = 2(3f + 2b)

Now, we shall make b the subject of the above equation. This is illustrated below:

f + 5b = 2(3f + 2b)

Clear bracket

f + 5b = 6f + 4b

Collect like terms

5b – 4b = 6f – f

b = 5f

Thus, a burger cost five times as much as a fries.

Find the equation of the line specified. The line passes through the points ( 2, 1) and ( 5, 4) a. y = x + 1 c. y = x - 1 b. y = -x - 1 d. y = x + 3

Answers

Answer:

b

Step-by-step explanation:

Answer: c) y = x-1

Step-by-step explanation: took test on edge

Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.



How much did Diego pay for the 12 books?

Answers

X = $ 52 for the 12 books Diego bought

Joseph and Wendy were catching tadpoles. At first Wendy caught nine times three more than Joseph caught. Joseph was upset and released half of Wendy ’s tadpoles, and then six times as many as Joseph caught swam away. After all of this, Wendy only had three tadpoles left. How many tadpoles did Joseph catch?

Answers

Answer:

7

Step-by-step explanation:

Step 1: translate the given word problem into solvable algebraic equation.

Let "t" represent the number of tadpoles Joseph caught.

"Wendy caught nine times three more than Joseph caught" can be expressed as 9(t + 3)

Number of Wendy's tadpole = [tex] 9(t + 3) [/tex]

Given that half of Wendy's tadpole and also 6 times Joseph's tadpoles swarm away leaving Wendy with only 3, the following equation can be written:

[tex] \frac{9(t + 3)}{2} - 6t = 3 [/tex]

Step 2: solve for t using the equation created.

[tex] \frac{9(t + 3)}{2} - 6t = 3 [/tex]

Add 6t to both sides

[tex] \frac{9(t + 3)}{2} - 6t + 6t = 3 + 6t [/tex]

[tex] \frac{9(t + 3)}{2} = 3 + 6t [/tex]

Multiply both sides by 2

[tex] \frac{9(t + 3)}{2}*2 = (3 + 6t)*2 [/tex]

[tex] 9(t + 3) = 2(3 + 6t) [/tex]

[tex] 9t + 27 = 6 + 12t [/tex]

Collect like terms

[tex] 9t - 12t = 6 - 27 [/tex]

[tex] -3t = -21 [/tex]

Divide both sides by -3

[tex] t = 7 [/tex]

Joseph caught 7 tadpoles

PLEASEE HELP ME I DID THE FIRST BUR NEED HELP WITH THE OTHERS JM BEING TIMED

Answers

Answer:

nejkbfjlsldfbzjhghbgjlfdbgjsb

Step-by-step explanation:

fjkngsdngjkngsknjb.kxnb vncx gbjfx,cnm cfjgjg.kfdontjdgklbvj.bzexpectbdfjskbhsljhelpdsfjlzbjbdzjwhen ndsjbdjzsbfzjsyouncsjdlafbjlcant njdfslabgahelpvmxnzkznf,anyonenjsdflfnSLelsendjzlknjidiotnjdflzngjlznloser fdsalfhjlzgbdhjlzfbglj


Emily earns extra spending money by babysitting children in her neighborhood. On Tuesday, she earned $16 for baby sitting for 2 hours. On Saturday, she earned $40 for baby sitting for 5 hours. let x represents the number of hours and y represents the amount earned. What is the rate of change? *
1 point
A. 24/7
B. 8/1
C. 38/11
D. 7/2

Answers

Answer:

2000

Step-by-step explanation:

2000+40+16*2

2000

Select the correct answer.

Which Triangles in the diagram are congruent?

Answers

Answer:

D. its all hope this helps :)

Step-by-step explanation:

Answer:

triangles 1 and 3 I'd say

Write an equation of the line passing through each of the following pairs of points. c (4, 0), (−2, 8)'

Answers

Answer:

Step-by-step explanation:

First, you must find the slope of the line using the formula (y2-y1/x2-x1). For your problem that would be (8-0/-2-4)= -4/3.

Then, you would plug in the slope and the y-intercept into the slope-intercept formula (y=mx+b), where m is the slope and b is the y intercept (4).

Your answer would be y=-4/3x+4

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