cos5xcosx-sin5xsinx=??????????????????

Answers

Answer 1

Answer:

cos6x.

Step-by-step explanation:

We use the identity

cosAcosB - sinAsinB = cos(A+B)

so cos5xcosx - sin5xsinx = cos(5x + x)

= cos6x.


Related Questions

slove 3(n-4)+2(4n-5)=(n+2)​

Answers

Answer:

n is 2.4

Step-by-step explanation:

[tex]3(n - 4) + 2(4n - 5) = (n + 2)[/tex]

open the brackets:

[tex](3n - 12) + (8n - 10) = (n + 2)[/tex]

collect like terms together:

[tex]3n + 8n - n = 2 + 12 + 10 [/tex]

factorise out n :

[tex]n(3 + 8 - 1) = 24 \\ 10n = 24 [/tex]

divide all sides by 10 :

[tex] \frac{10n}{10} = \frac{24}{10} \\ \\ n = 2.4[/tex]

11. Make Sense and Persevere The sum of four
consecutive integers is –18. What is the greatest
of these integers?

Answers

Answer:

-3

Step-by-step explanation:

4n+ 6 = -18

4n=-24

n = -6

-6,-5,-4,-3

largest is -3

Answer:

[tex]\displaystyle -3[/tex]

Step-by-step explanation:

[tex]\displaystyle -18 = 6 + 4n → \frac{-24}{4} = \frac{4n}{4} \\ \\ -6 = n \\ \\ \\ -6, -5, -4, \boxed{-3}[/tex]

Hence, you have your answer.

I am joyous to assist you at any time.

NEED HELP ASAP
giving brainly

Answers

Answer:

A&C

Step-by-step explanation:

They are negative and even and they are not positive and even too.

Answer:

A

Step-by-step explanation:

Technically A and C are correct but we are dealing with only negative even values. A non-positive integer is any negative number or zero but we don't have that value so it makes more sense to choose A than C. B is incorrect because a whole number can't include a negative number, a fraction, or a decimal. D is also incorrect because a non-negative integer is a positive number which we don't have in the set.

Best of Luck!

The tape diagram represents an equation.

Write an equation to represent the image.

Answers

Answer:

m + 1/4 = 2/3

Step-by-step explanation:

Since they are equal lengths set them = to each other.

2/3 - 1/4= 5/12; 1/4 + m = 2/3

We know it's subtraction as the tape diagram above has 2 pieces, both smaller than the whole tape diagram below it. Also, knowing it has 2 pieces and that 1/4 is small than 2/3 help us know that it's subtraction.

I hope I've helped!

What is the domain of the function y = [tex]\sqrt{x}[/tex]


A)Negative infinity less-than x less-than infinity

B)0 less-than x less-than infinity

C)0 less-than-or-equal-to x less-than infinity

D)1 less-than-or-equal-to x less-than infinity

Answers

Answer:

C is the answer

Step-by-step explanation:

The domain can't be minus. That's the only stipulation. It can be equal to 0 or anything larger than 0. It just can't go into the minus numbers.

0≤x<infinity.

C

"The difference between m and n."

Answers

Answer:

Step-by-step explanation:

They are diffrent values

What set of numbers best describes the amount of money in a bank account?
a. rational
b. irrational
c. integers
d. whole numbers

Answers

Rational is the right answer.
It’s integers so c but the person above/below me said rational so maybe?

In algebra (grade 7) :-
what does + and - make?
what does + and + make?
what does - and + make?
what does - and - make?

Answers

1) -
2) +
3) -
4) +

Whenever the signs are opposite, it’s negative. Whenever signs are same, it’s positive.








plz answer it plz




step by step plz​

Answers

Answer:

answer is subtract the 180-120=80

Answer:

Y = 60

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Which of the following set of angles could be the measurements of a triangle

The source of this question is on learning farm 7th grade

Answers

A right angle and a 70 degree angle

¿Alguien sabe como realizarlo?

Answers

Hola! Intente resolverlo pero solo hice la primera por mi tiempo ahorita mismo y era:
f(0)=1
Toda la ecuación

Find the value of the following question​

Answers

Step-by-step explanation:

[(-¾)`²]² =

[ (-4/3)²]² =

[ 16/9]² = 256 / 81

Answer:

the req answer is 256/81

Is the following number rational or irrational?
TV4
Choose 1 answer:
A
Rational
В
Irrational

Answers

Answer:

B irrational :]..............

8/9 divided by 2/5..​

Answers

the answer is =
4/45
(Decimal: 0.088889)
The answer is 4/45 . In fraction form

find the value for x

Answers

Answer:

112/12

Step-by-step explanation:

angles equal bcz corresponding angles

so

12x-8=104

12x=112

x=112/12

(question 31) if arc mBC =120 and arc mAD =50 whatis the measure of angle DYC

Answers

Answer:  D) 95

===============================================================

Explanation:

First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:

angle BYC = (arcAD + arcBC)/2

angle BYC = (50+120)/2

angle BYC = 170/2

angle BYC = 85 degrees

Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)

angleBYC + angleDYC = 180

angleDYC = 180 - angleBYC

angleDYC = 180 - 85

angleDYC = 95 degrees

which is why the answer is choice D.

Please help me! I need details. I will appreciate it very much and I will mark Brainllist! Please! ASAP

Answers

Answer:

(1, 4), (2, 8), (3, 12)

Step-by-step explanation:

The ratio if the number if books to the cost in dollars is 1 : 4

To plot on a coordinate grid, we first look at the horizontal direction (x-axis)

Take the number of books to be values of the x-coordinate.

Start at the origin and travel the necessary distance to the left or the right then move up or down in the vertical direction to mark the y-coordinate.

The corresponding cost to be the values of the y-coordinate. Mark or plot at the intersection of the two numbers.

URGENT! HELP ME I WILL MARK YOU BRAINLIEST !!!!

pleasee fasterr !!!!!​

Answers

Answer:

C.................is the answer

Answer:

a)=10m

b)(x+1)

c)=(27x+9)

d=(3x+1)

WILL MARK BRAINLIEST !!! PLEASE
find the length of PQ​

Answers

[tex]\\ \rm\longmapsto L=\dfrac{\Theta}{180}\times \pi r[/tex]

[tex]\\ \rm\longmapsto PQ=\dfrac{135}{180}\times 3.14(12)[/tex]

[tex]\\ \rm\longmapsto PQ=\dfrac{3}{4}\times 37.68[/tex]

[tex]\\ \rm\longmapsto PQ=\dfrac{113.04}{4}[/tex]

[tex]\\ \rm\longmapsto PQ=28.3[/tex]

katya is 1/8 the height of a tree in a forest. olga is 1/8 the height of the same tree. who is taller?

Answers

Answer:

2/8 you plus it

Step-by-step explanation:

you should plus both

HELLLPPP Multiply. Write your answer in scientific notation. 6 (2 x 10^)(1 x 10​

Answers

Answer:

[tex](2 \times {10}^{4} )(1 \times 10 ^{6} ) \\ = 2 \times {10}^{10} [/tex]

I hope I helped you^_^

Answer:

2×10^10

Step-by-step explanation:

Estimate numbers 1-4 from the tens place value.
1. 89
2. 64
3. 985
4. 467

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{We are not sure what you want us to}\\\huge\text{round to so I will...}\huge\boxed{\downarrow}\\\\\\\huge\boxed{\mathsf{original \ number\rightarrow tens\rightarrow hundreds/thousands}}[/tex]

[tex]\huge\boxed{1.) \ \mathsf{89} \rightarrow \bold{90}\rightarrow\bf 100}}\\\huge\boxed{2.) \mathsf{\ 64\rightarrow \bold{6} \rightarrow \bf 100}}\\\huge\boxed{3.) \mathsf{ \ 985 \rightarrow \bold{990}\rightarrow \bf 1,000}}\\\huge\boxed{4.)\mathsf{\ 467\rightarrow\bold{470}\rightarrow \bf 500}}}[/tex]

[tex]\huge\textsf{Reminder: If you have \bf 0 - 4 you are going}\\\huge\textsf{\bf downward \& 5 - 9 you are going upward}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.

Answers

Answer:

95kg

Step-by-step explanation:

Mass÷Volume=Density

Therefore, Mass = Volume × Density

Mass = 1500 × 95

Mass = 95,000g

Since we were asked to find the mass in kg:

1000g = 1kg

Therefore, 95,000g = 95kg

Simplify: 6m2,2 – 3mn + 14mn + 10m²n2 + 9 O 27m2n2 + 9 16m?n? + 11mn + 9 16m4n" + 1lm?n? + 9 0 16mn+ 17mn + 9​

Answers

Answer:

2nd one is the ans

16m*2n*2+11mn+9

Solve 29 – 3:= 5x + 5 for x.​

Answers

Answer:

x=4.2

Step-by-step explanation:

29-3=5x+5

21=5x, x=21/5=4.2

X=4.2 because 29-3=5x +5 for d

Pls help how do I solve this?

Answers

multiply length by width ( 5 x 4.2x^2-3xy) to get 21x^2 -15xy as your final answer

Answer:

area is just multiplication of sides so..

(4.2x^2 - 3xy) (5)

= 21 x^2 - 15 xy

doneeeeee


6: A wooden rod is 4/5m
long .
Find the total length of 4 wooden rods.

Answers

Answer:

Proper: 3 and 1/5  Improper: 16/5

Step-by-step explanation:

4 times 4/5 = 16/5

5*3=15

16-15= 1

3 and 1/5

What is the Standard Deviation of the following set of data?
14, 22, 18, 12, 14, 8, 4, 12, 32, 12

Answers

Answer:

34

Step-by-step explanation:

34 because i beleive so

0.5t + 0.25(t +16) =4 + 0.75t

Answers

Answer:

0.5t + 0.25(t +16) =4 + 0.75t

0.5t + 0.25t + 4 = 4 + 0.75t

0.5t+ 0.25t – 0.75 t = 4– 4

0.5t +0.25t–0.75t = 0 —> 0 = 0

I hope I helped you^_^

Answer: All Real Numbers or A.R.N

Step-by-step explanation:

Given

0.5t + 0.25 (t + 16) = 4 + 0.75t

Expand parentheses and apply the distributive property

0.5t + 0.25 · t + 0.25 · 16 = 4 + 0.75t

0.5t + 0.25t +4 = 4 + 0.75t

Combine like terms

0.75t + 4 = 4 + 0.75t

Subtract 0.75t on both sides

0.75t + 4 - 0.75t = 4 + 0.75t - 0.75t

4 = 4

Since both sides are left with the same term, this means any number would be able to make the equation true.

Therefore the answer would be All Real Numbers, or [tex]\boxed{A.R.N}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3​

Answers

Answer:

check explanation

Step-by-step explanation:

in eqn 2,

y = 3 - 2x

substitute for it in eqn 1

3x² + y² = 20

3x² + (3 - 2x)² = 20

3x² + 9 - 12x + 4x² = 20

Group like terms;

3x² + 4x² - 12x = 20 -9

7x² - 12x = 11

x(7x - 12) = 11

x = 11,

OR

7x - 12 = 11

7x = 11 + 12

7x = 23

x = 23/7

x = 3.286

To get y, substitute for x in eqn 2

WHEN x = 11,

y = 3 - 2(11)

y = 3 - 22

y = -19

WHEN x = 3.286

y = 3 - 2(3.386)

y = -3.772

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