please help me!!!!!​ i need full answer.

Please Help Me!!!!! I Need Full Answer.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

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

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

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin([tex]\frac{A+B}{2}[/tex])sin([tex]\frac{A-B}{2}[/tex] ) ]² + [ 2cos([tex]\frac{A+B}{2}[/tex] )sin([tex]\frac{A-B}{2}[/tex] ) ]²

= 4sin² ([tex]\frac{A+B}{2}[/tex] )sin² ([tex]\frac{A-B}{2}[/tex] ) + 4cos² ([tex]\frac{A+B}{2}[/tex] )sin² ( [tex]\frac{A-B}{2}[/tex] )

= 4sin² ([tex]\frac{A-B}{2}[/tex] )[ sin² ( [tex]\frac{A+B}{2}[/tex] ) + cos² ( [tex]\frac{A+B}{2}[/tex] ) ← sin²x + cos²x = 1

= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) × 1

= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) = right side ⇒ proven


Related Questions

I need help with an algebra problem.
"If one chocolate bar make three s'mores, how many bars will you need to purchase to make 26 s'mores?"
I can't figure this one out. In theory it would be 9 bars. But I need to have an algebraic solution for it. ​

Answers

Answer:

9 bars

Step-by-step explanation:

3x=26

x=8.6

(round to nearest whole)

x=9 chocolate bars

what is f(3) for f(x)=3x+2​

Answers

Answer:

f(3) = 11

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 3(3) + 2 = 9 + 2 = 11

Answer: f(3) = 11

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(3).

We find f(3) plugging 3 in for x,

everywhere that x appears in the function.

So we have 3(3) + 2 which is 9 + 2 or 11.

So f(3) = 11.

Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 70 feet. His back yard has a length of 10 feet and a width of 40 feet. How many square feet of sod does Jayden need to purchase? A. 3,900 square feet B. 3,600 square feet C. 3,700 square feet D. 2,150 square feet

Answers

Answer:

C. 3,700 square feet

Step-by-step explanation:

add the area of both the front and half of the back yard.

Evaluate
l5 - 15l
Is this right?

Answers

Answer:

10

Step-by-step explanation:

The absolute value always returns a positive value, thus

| a | = | - a | = a

Given

| 5 - 15 | = | - 10 | = 10

Express the radical using the imaginary unit i

Answers

Answer:

[tex]=\pm i\sqrt{66}[/tex]

Step-by-step explanation:

So we have:

[tex]\pm\sqrt{-66}[/tex]

This is the same as:

[tex]=\pm\sqrt{66\cdot-1}[/tex]

Separate:

[tex]=\pm\sqrt{66}\cdot\sqrt{-1}[/tex]

Replace the second term with i:

[tex]=\pm i\sqrt{66}[/tex]

The square root of 66 cannot be simplified.

So, this is our answer :)

Express 0.7 as a fraction

Answers

Answer:

7/10

Step-by-step explanation:

In 0.7 we will change the decimal to fraction. First we will write the decimal without the decimal point as the numerator. Now in the denominator, write 1 followed by one zeros as there are 1 digit in the decimal part of the decimal number. Therefore, we observe that 0.7 (decimal) is converted to 7/10

━━━━━━━☆☆━━━━━━━

▹ Answer

7/10

▹ Step-by-Step Explanation

0.7 → The 7 is in the tenth's place, therefore this is written as 7/10.

Final answer - 7/10

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

find the area of the figure

Answers

Answer:

31 mm

Step-by-step explanation:

5mm + 2mm + 8mm + 16mm

Approximate the value of 6√

Answers

hey.. the value of root6 would be 2.449 if im not wrong

Help deadline is soon I'm doing another packet rn tho.​

Answers

Answer:

Step-by-step explanation:

12. 40h + 100 = 300

    40h = 200

    h = 5 hours

   answer is A

13. 4p - 4 = 48

     4p = 52

      p = $13

answer is C

14. e + 3e = 24

   4e = 24

    e = 6

16. 3p + $4.29 = $8.94

     3p = $4.65

    p = $1.55

  answer is B

17. 2x + 2x + x - 6 = 74

    5x - 6 = 74

    5x = 80

     x = 16

2(16) = spearmint gum

answer is D

15.  x + 2x + 10 = 76

    3x + 10 = 76

    3x = 66

   x = 22 years old

 2(22)= 44 years old

 

18. 2x + 26 = 54

    2x = 28

    x = 14

answer is B

Unscramble the place values. Write the number in standard form.
3 thousands + 4 ones +
8 hundred thousands +
7 hundreds +
ten thousands.

Answers

Answer:

8.13704 × [tex]10^{5}[/tex]

Step-by-step explanation:

3000 + 4 + 800000 + 700 + 10000 = 813704


Given f(x)
=
4x + 1
3
solve for F-1(3). (5 points)




Answers

Answer:

Step-by-step explanation:

First we need to find inverse function of f(x) which is written in a form of (f(x))^(-1)

That means that we are actually looking for function f(y) and we need to solve this equation for "y"

y=(4x + 1)/3

3y = 4x + 1

4x = 3y - 1

x = (3y - 1) / 4

f(y) = (3y - 1)/4

Now we simply put the value of 3 instead of y and find the answer:

f(y=3) = (3*3-1)/4 = 2

Answer is 2

A function is defined by by f(x) = 5(2 - x) . What is f(-) ?

30 POINTS

Answers

Answer:

15

Step-by-step explanation:

f(x) = 5(2 - x)

Let x = -1

f(-1) = 5(2 -  -1)

f(-1) = 5(2 +1)

     = 5(3)

     = 15

The picza has an area of 785 in. What is the minimum with of a placemat that can be placed underneath it so that the pizza does not touch the table Use 3.14 forpi
10 inches
Sinches
25 inches
D.3.14 inches
Urarred 25
Type here to search

Answers

Answer:

C is the answer!!

Step-by-step explanation:

GK=24, HJ=10, and GH=HI=IJ find each length

Answers

Answer:

please upload the figure

Can you explain why the answer to 12-8x=3(x+4) is x=0 ?

Answers

Answer:

12 - 0 = 12.

Step-by-step explanation:

If you substitute all x values for 0, then you get 12 - 8(0) = 3(0+4). Combine like terms and you will arrive at 12 - 0 = 3(4). Which then goes to 12 - 0 = 12. Since 0 has no value, just remove it from the equation. You are left with 12 = 12.

Answer:

it is x= 0

Step-by-step explanation:

you distribute the numbers in the parentheses first so your new equation would be 12 - 8x = 3x + 12 (basically multiply 3 by what was in the parentheses)

then cancel equal terms so 12 - 8x = 3x + 12 becomes -8x = 3x

after that move the variable and the 3 to the left while changing the sign from + to - (the + sign is implied since it's a positive number) your new equation becomes -8x - 3x = 0

next collect like terms so the numbers with the same variable meaning subtract -8x - 3x also known as -8x + -3x creating the equation -11x =0

finally divide both sides of the equation -11x = 0 by -11 creating x=0

Seven times the difference of twice a number and nine ...

Answers

Answer:

4.5

Step-by-step explanation:

7(2x-9)

14x-63=0

14x=63

X=4.5

The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "Seven times the difference of twice a number and nine" can be written in the form of an expression as,

Twice of a number → 2xDifference between twice a number and 9 → 2x - 9Seven times the difference of twice a number and nine → 7(2x - 9)

Hence, The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).

Learn more about Expression here:

https://brainly.com/question/13947055

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plzzz HELP will give brainliest 9^-53*9^37

Answers

Answer: The exact form is 5.3965953e-16. But in exponential form: 9^(-16).

Step-by-step explanation:

Use your calculator to plug in the negative powers and to multiply. Do it one step at a time. If you want exponential form, then here:

9^(-53) * 9^(37)

Add exponents keep base

9^(-16)

Hope this helps

what are all natural numbers using the digits 7 , 0 ,6 without repeating the numbers​

Answers

Answer:

Step-by-step explanation:

The natural numbers can be :

076

067

706

760

607

and 670

Hope this helps

plz mark as brainliest!!!!!!

Tammy drove 715 miles in 11 hours. at the same rate, how long would it take her to drive 845 miles?

Answers

Answer:

Step-by-step explanation:

So we have direct proportions here.

So

715=11

845=x

845*11/715

x=13

To check our work.

715/11=65

65*13=845.

Basically, in this formula, you use cross multiplication. So A*B=B*A. B and B go together and A and A go together/

So we can use the formula x = b*b/a. Since A is one of the A's and the other value of A is missing, we can use this formula to find it.

Hope this helped, ask me if you have any questions.

Write a number sentence to represent the model. Explain how you determined the number sentence.

Answers

90 % sure

The image attached shows an operation that can be represented with whole numbers, becuase there are positive and negative characters.

So, we know by given that there are +4 circles and -7 circles, and the whole can be expressed as the algebraic sum of them,

Therefore, the model can be represented by the number -3, which is the whole because is the result of the operation that represent each type of element.

hope i helped

-lvr

What are Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

Due to the presence of positive and negative inetegrs, the attached graphic illustrates an operation that can be expressed in whole integers.

As a result, we already know that there exist +4 circles and -7 circles, and that their algebraic total may be used to express the whole.

Because the outcome of the procedure to represent each type of element is the number -3, which is the whole, the model can be represented by this number.

Learn more about integers here:

https://brainly.com/question/15276410

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Please answer fast
Silakan

Answers

12 16/56 + 3 35/56 = 15 51/56

Answer:

[tex]8\frac{37}{56}[/tex]

Step-by-step explanation:

[tex]12\frac{2}{7} + 3\frac{5}{8} = \frac{86}{7} + \frac{29}{8} = \frac{688 - 203}{56} = \frac{485}{56} = 8\frac{37}{56}[/tex]

divide the sum of 13 / 5 and -12 / 7 by the product of - 31 / 7 and 1 /-2 ​

Answers

Answer:

13/5+(-12/7)÷ -31/7×1/-2.

13/5-12/7=31/35.

-31/7×1/-2=31/14.

31/35÷31/14=14/35.

willa can type 900 words in a quarter of an hour. how many words per minute can willa type?

Answers

Answer:

Willa can type 60 words per minute

Step-by-step explanation:

60 minutes = 1 hour

1/4 hour = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

Quarter of an hour= 15 minutes

Willa can type 900 words in 15 minutes

how many words per minute can willa type?

Words per minute= Total words in 15 minutes / 15 minutes

= 900 / 15

= 60 words per minute

Willa can type 60 words per minute

how many pieces each of length 9/4metre can be cut from a rope of length 40 metre 50 cm​

Answers

Answer:

18 pieces

Step-by-step explanation:

This is a division problem.

1 m = 100 cm

To convert from cm to m we divide the length in cm by 100.

40 m + 50 cm = 40 m + 50/100 m = 40.5 m

The rope is 40.5 m long.

9/4 m = 2.25 m

Each piece is 2.25 m long.

[tex] \dfrac{40.5~m}{2.25~m} = 18 [/tex]

Answer: 18 pieces

please help. I'm kinda confused.​

Answers

Answer:

the first picture would be concave and the second one would be convex

Step-by-step explanation:

Well concave means to go inwards and convex means to go outwards.

80 people were surveyed about their opinion on pizza toppings. 60 people like cheese. 32 people like pineapple. 16 like both cheese and pineapple. How many people liked neither cheese nor pineapple on their pizza?

Answers

76 and 4 is the answer of your question

Can someone help me with number 7. Please.

Answers

Answer:

  exponent: 3; base: 4

Step-by-step explanation:

An exponent is used to signify repeated multiplication. In a typeset expression is has a superscript format. The base is the value being repeatedly multiplied.

  [tex]4^3=4\cdot4\cdot4[/tex]

The exponent is 3.

The base is 4.

_____

In plain text, an exponent is preceded by a caret (^). If the exponent consists of more than a single constant or variable, it must be enclosed in parentheses. The above expression would be written as 4^3.

 

a right triangle has side lengths 8 15 and 17 as shown below use these lengths to find tan B sin B and cosine B​

Answers

Answer:

sin(B) =  [tex]\frac{15}{17}[/tex]

cos(B) = [tex]\frac{8}{17}[/tex]

tan(B) = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

I always find it easiest to model out the triangle: Angle B will be at the converging point of a and c.

Using SOH CAH TOA, we know that the Sin of an angle will be its opposite over hypotenuse. The opposite is 15, and the hypotenuse is 17.

So  [tex]\frac{15}{17}[/tex] is the sin of B.

We also know that the cosine of B will be it's adjacent over hypotenuse. The adjacent is 8 and the hypotenuse is 17, so

[tex]\frac{8}{17}[/tex]

Lastly, we know the tangent of B will be it's opposite over adjacent. The opposite of B is 15, and it's adjacent is 8, so

[tex]\frac{15}{8}[/tex] is the tangent of B.

Hope this helped!

Mr. Jackson is ready to empty his backyard swimming pool for the winter. He knows that the time, T, required to empty the pool varies inversely as the rate, R, of pumping. Mr. Jackson's old pump could empty the pool in 55 minutes, pumping at a rate of 200 gallons per minute. This year he has a new pump which pumps at a rate of 325 gallons per minute. How long will it take to empty the pool this season? Round your answer to the nearest minute. DUE IN 2 HOURS, 15 POINTS, WILL GIVE BRAINLIEST.

Answers

Answer:

34 minutes

Step-by-step explanation:

Given that T varies inversely as R then the equation relating them is

T = [tex]\frac{k}{R}[/tex] ← k is the constant of variation

To find k use the condition

T = 55 when R = 200, that is

55 = [tex]\frac{k}{200}[/tex] ( multiply both sides by 200 )

11000 = k, thus

T = [tex]\frac{11000}{R}[/tex] ← equation of variation

When R = 325, then

T = [tex]\frac{11000}{325}[/tex] ≈ 34 minutes ( to the nearest minute )

Answer:

Option 2

Step-by-step explanation:

An inverse variation can be represented by the equation xy=k or y=kx .

If (x1,y1) and (x2,y2) are solutions of an inverse variation, then x1y1=k and x2y2=k

Substitute x1y1 for k

x1y1=x2y2   or x1x2=y2y1

The equation x1y1=x2y2 is called the product rule for inverse variations.

Let x be the time required, and y the rate of pumping.

x1 = 55min  y1 = 200gal/min

x2 = Unknown y2 = 325gal/min

(55)(200) = x2(325)

11,000 = x2 (325)

11,000/325 = x2

33.84 = x2

34 minutes

Idk how to do this plz help me!!

Answers

Answer:

A. 130 degrees

B. 50 degrees

Step-by-step explanation:

A. It's a straight line so the angle is 180. U subtract 50 from. 180 and u get 130

B. It 50 because it's vertically opposite angle to angle AEC

Answer:

a. the angle measure is 130°

b. the angle measure is 50°

Step-by-step explanation:

a. you have to subtract 180°- 50° to get 130°

b.angle AEC is congruent to angle DEB so they are both 50°

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