Please help me with this question

Please Help Me With This Question

Answers

Answer 1

Answer:

  cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)

Step-by-step explanation:

You want cos(x -π/3) written in terms of sine and cosine.

Angle difference

The formula for the cosine of the difference between two angles is ...

  cos(a -b) = cos(a)cos(b) +sin(a)sin(b)

Application

We have a=x, b=π/3, so the desired function is ...

  cos(x -π/3) = cos(x)cos(π/3) +sin(x)sin(π/3)

We know that ...

cos(π/3) = 1/2sin(π/3) = √3/2

so the rewrite is ...

  cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)


Related Questions

Write an equation of the line passing through (- 5,5) and having slope - 4. Give the answer in slope-intercept form.
The equation of the line in slope-intercept form is:

Answers

Answer:

y = - 4x - 15

---------------------------

Slope-intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Point-slope form:

y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point on the line

Use the point-slope form to find the equation and then convert it to slope-intercept form:

y - 5 =  - 4(x - (-5))y - 5 = -4(x + 5)y - 5 = - 4x - 20y = - 4x - 20 + 5y = - 4x - 15

Find x such that the line through (6, −3) and (7, 6) is perpendicular to the line through (−2, 5) and (x, −1).

Answers

Given:

The line through (6, −3) and (7, 6) is perpendicular to the line through (−2, 5) and (x, −1).

To find:

The value of x.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of the line through (6, −3) and (7, 6) is:

[tex]m_1=\dfrac{6-(-3)}{7-6}[/tex]

[tex]m_1=\dfrac{6+3}{1}[/tex]

[tex]m_1=9[/tex]

The slope of the line through (−2, 5) and (x, −1) is:

[tex]m_2=\dfrac{-1-5}{x-(-2)}[/tex]

[tex]m_2=\dfrac{-6}{x+2}[/tex]

We know that the product of slopes of two perpendicular lines is -1.

[tex]m_1\cdot m_2=-1[/tex]

[tex]9\cdot \dfrac{-6}{x+2}=-1[/tex]

[tex]\dfrac{-54}{x+2}=-1[/tex]

Multiplying both sides by (x+2), we get

[tex]-54=-1(x+2)[/tex]

[tex]-54=-x-2[/tex]

[tex]-54+2=-x[/tex]

[tex]-52=-x[/tex]

Divide both sides by -1.

[tex]52=x[/tex]

Therefore, the value of x is 52.

COMPLETE
h
50
The sum n(n+6) =
+
1575
RETRY

Answers

9514 1404 393

Answer:

  50575

Step-by-step explanation:

The correct answer choice is marked. Evaluating it gives ...

  the sum is 50,575

Step by step exclamation please

Answers

Answer:

Expression: 48x + 120y & Area = 1,008 square feet

Step-by-step explanation:

12(4x + 10y)

multiple the 12 into 4x + 10y

12 x 4x = 48x

12 x 10y = 120y

48x + 120y

x = 6 ft

y = 4 ft

Substitite in numbers

48x + 120y

48(6) + 120(6)

Multiply

288 + 720

Add

288 + 720 = 1,008 square feet

8 feet and 9 inches multiplied by 5

Answers

Answer:

43 feet 9 inches

Step-by-step explanation:

Since there are 12inches in a feet you would have to first make the feet in to inches so 8x12 which would give you 96in and since there 9 extra inches you would add them to get 96+9=105inches then you muiltiply by 5 and lastly you make them back in to feet by dividing by 12 since there are 12inches in a feet. It would look like this: 525/12= 43.75 or 43ft and 9in

Round 123.7561 to the nearest hundredth place

Answers

The hundredth place is the second digit after the decimal. So 5 would be the hundredth place right now. Take a step to the thousandth place and see if the number is greater or less than 5 to determine if you should round up or round down. 6 is greater than 5, round up.
The answer is 123.76

Decimal numbers are number that contains decimal points. The value  123.7561 rounded to nearest hundredth is 123.76

Rounding of decimal numbers

Decimal numbers are number that contains decimal points in between the values.


Given the decimal value 123.7561, we are to convert the decimal values to the hundredth place.

This means that there must only be two values after the decimal points and the values rounded up if greater than 4.

Hence the value  123.7561 rounded to nearest hundredth is 123.76

Learn more on rounding up here: https://brainly.com/question/10340128

A band expects to put 15 songs on their next CD. The band wriand records 60% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD

Answers

Answer:

18 songs

Step-by-step explanation:

15 x 1.6 = 24

24 x 0.75 - 18

What is the total area of the figure? NO LINKS ONLY ANSWERS

Answers

Answer:

Hello! answer: 24

Hope this helps!

Answer:

A. 5x3=15 B. 3x3=9 15+9=24

Step-by-step explanation:

-2(t+7)=- 4t+12 what value of t makes the equation true

Answers

Answer:

T is 13

Step-by-step explanation:

-2(t+7)=-4t+12

-2t-14=-4t+12

2t=26

t=13

check answer:

-2(13+7)=-4(13)+12

-26-14=-52+12

-40=-40

Answer:

t is or equal to 13

Step-by-step explanation:

i done this before

Enter the next three numbers of the repeating decimal produced by the
7
fraction
9
0.777777 ...

Answers

Answer:

777

Step-by-step explanation:

7/9 will repeat 7 forever

The next three are therefor

777

Find the radius of the circle with a diameter of 100 mete radius:​

Answers

50

Step-by-step explanation:

100/2 = 50

So, the radius is 50.

I hope this helps, have a good day!

Answer:

r=50m

Step-by-step explanation:

Remeber it's the half of the number (N).

Question 3
Alicia graphed a solution of linear equations on a coordinate plane.
1
What is the approximate solution of the system?

Answers

Answer:

what did the answer end up being?

Step-by-step explanation:

Which of the following values are in the range of the function graphed below?
Check all that apply.
10
- 10
10
. 10+
D A. 2
O B. 5
C. 3
O D. 1
E. -2

Answers

Answer:

All of the above.

Step-by-step explanation:

They are all within the range.

The range of the function graphed below are,

⇒ 2, 3, 1

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function is shown.

Now, By graph;

The range of the function graphed below are,

⇒ (0 , 3]

Hence, By options;

The range of the function graphed below are,

⇒ 2, 3, 1

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

kkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

23/4

Step-by-step explanation:

5*4 = 20

20+3=23

Answer:

23/4

Step-by-step explanation:

I learned it like this

4x5+3

So basically you multiply the bottom number with the whole number on the side and add the top number to it

And 4x5+3=23

You keep the bottom number of the mixed number

So it's 23/4

(I'm not super good at explaining things, but I hope this helped)

Find the value of each variable for each circle. Show your work
For a circle you have 60 and 80, what is the value of each variable a and b

Answers

The values of the variables in the circles are

Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degrees

How to determine the values of the variables in the circles?

From the question, we have the following parameters that can be used in our computation:

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

Only answer if you’re sure :) id like the full equation! Will give Brainly

Answers

Answer:

[tex]y = \frac{3}{2} x - \frac{7}{2} [/tex]

Step-by-step explanation:

3x-2y=7

-3x -3x

-2y=-3x+7

-1 -1

2y=3x-7

2 2

y= 3/2x-7/2

What is the difference quotient of the function g(x) = 4^x

Answers

Answer:

First choice

Step-by-step explanation:

The difference quotient in general is  [tex]\frac{g(x+h)-g(x)}{h}[/tex]. To get an expression for  [tex]g(x+h)[/tex], replace  x  with x + h.

For this question,

[tex]\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}[/tex]

Factor  [tex]4^x[/tex] out of the numerator.

[tex]\frac{4^x(4^h-1)}{h}[/tex]

Answer:

The answer is A the first option

Step-by-step explanation:

Just took the unit review and got a 100

Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.

A: Write an equation to represent each T-Shirt company.
Ralph's:_______________
Frank's:_______________

B: Solve the system of equations by using the graph.

C: What does the solution mean in the context of the solution?

Answers

Answer:

A: Ralph y = 10 + 7.50x

Frank y = 10x

B: x = 4, y = 40

C: x = 4 means that in order for the companies to make the same amount of money, they have to sell 4 shirts each. When the companies sell 4 shirts (or multiples of 4) they are making the same amount of money.

Step-by-step explanation:

Because both equations are equal to y, set them equal to each other.

10x = 10 + 7.50x

2.5x = 10

x = 4

Plug in x to a y equation.

y = 10(4)

y = 40

What is answer too 12a over 2

Answers

Answer:

6a

Step-by-step explanation:

Please help. Assignment is due today. I am terrible with math, I don't understand this. Thanks in advance.

Answers

Answer:

a. A' (-3, -1) B' (3, 2) C' (6, 0); b. A' (-1, -3) B' (1, 6) C' (2, 0); c. A' (-2, -3) B' (2, 6) C' (2, 0)

Step-by-step explanation:

Solutions for graph a, b and c are attached.

a. (x, y) to (3x, y)

A' (-3, -1) B' (3, 2) C' (6, 0)

b. (x, y) to (x, 3y)

A' (-1, -3) B' (1, 6) C' (2, 0)

c. (x, y) to (2x, 3y)

A' (-2, -3) B' (2, 6) C' (2, 0)

REMEMBER: Connect the lines to make the triangles for each graph BEFORE submitting.

C(6,18), SF=____ C'(2,6)

Pls help me solve this and figure this out!!!

Answers

C'(2,6) can be obtained by dividing each element of C(6,18) by 3.
C'(2,6) = C(6,18) / 3 = (2,6)

The measure of HELP PLESSE

Answers

Answer:

[tex]51.3[/tex]

PLS ANSWER FAST, WILL GIVE BRAINLIEST

Answers

Answer:

I guess option c is the answer

Instructions: Find the missing length indicated.
Please help no links

Answers

Answer:

120

Step-by-step explanation:

To find the value of x we use Euclidian theorem

x^2 = 225*64

x^2 = 14400

x = 120

HAVE A NICE DAY
WILL GIVE BRAINLST :)

Answers

Answer:

3. 30 degrees

4. 46 degrees

5. 55 degrees

Step-by-step explanation:

3. Let it be x

85+65+X=180

150 + x = 180

x = 180 - 150

x = 30 degrees

4. Let it be x

104 + 30 + x = 180

134 + x = 180

x = 180 - 134

x = 46 degrees

5. Let it be x

x + 85 + 40 = 180

x + 125 = 180

x = 55 degrees

PLEASE GIVE ME BRAINLIEST PLSSS

Answer:

Step-by-step explanation:

HELP ME PLEASEEEEEEEE!!

Answers

9514 1404 393

Answer:

  12.  13

  14.  A

  15.  B

Step-by-step explanation:

I choose to work 3 problems to show how multiplication and division work with exponents.

__

12. You are looking for the coefficient of the x² term. It will be the sum of the coefficients of partial products that result in the variable being x². Those partial products will be of the form (ax²)(b) or (ax)(bx).

We note there are both x² and x terms in the first factor, but only x terms in the second factor. So, the x² term of the product will be ...

  (2x²)(4) +(5x)(x) = (8 +5)x² = 13x²

The missing coefficient is 13.

__

14. The rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

The given expressions can be simplified as ...

Koby

  [tex]\dfrac{w^3\cdot w^5}{(w^2)^4}=w^{3+5-2\cdot4}=w^0=1[/tex]

Paulo

  [tex](m^5)^2\cdot (m^{-3})^3=m^{5\cdot2+(-3)\cdot3}=m^1=m[/tex]

Kobe Only wrote an expression equivalent to 1.

__

15. The given expression is of the form

  [tex]\dfrac{\text{dividend}}{\text{divisor}}=\dfrac{14x^2+10x-7}{2x}\\\\=\dfrac{14x^2}{2x}+\dfrac{10x}{2x}-\dfrac{7}{2x}=(7x+5)+(-\dfrac{7}{2x})=\text{(quotient)+(remainder)}[/tex]

The true statement is ...

  the quotient has a remainder of -7/(2x)

__

Additional comment

Strictly speaking, a division problem can be expressed as ...

  dividend = (divisor)(quotient) + remainder

In this instance, this would be ...

  14x² +10x -7 = (2x)(7x +5) -7

which is to say that -7 is the remainder. The term -7/(2x) is actually part of the quotient.

The above (quotient) + (remainder) should actually be ...

  (quotient) +(remainder)/(divisor)

You will notice the answer choices have the terms "dividend" and "divisor" swapped, and that the degree of the binomial quotient is 1, not 2. Thus the only choice that begins to make sense is the one highlighted above--even though it, too, is technically incorrect.

Solve the equation.

3(x−9)=30

Answers

Answer:

19

Step-by-step explanation:

3(x-9)= 3x-27

3x-27=30

3x=57

x=19

i need help i honestly dont get this​

Answers

Answer:

I'm not too sure though but I think its change of subject formula

-50 POINTS- If you guess will be reported.
If P=(1,6), Find: D3 (P)

Answers

Answer:

(3,18)

Step-by-step explanation:

You do not give the center of dilation, so I am using the origin (0,0)

You multiply the x and y by 3

(1,6)

1 x 3 = 3

(1,6)

6 x 3 = 18

(3,18)

Can someone help me this is confusing

Answers

First square 10 (10•10=100). Then, multiply 8.1038 by 100. Since 100 has two 0’s you can just move the decimal over to the right twice. Your end answer would be 810.38
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