(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)​

Answers

Answer 1

Answer:

[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]


Related Questions

Hey can someone help me with these I will give a lot of points and brainliest!!!

Answers

Answer:

6) 62.5%

7) 54

8) B

Step-by-step explanation:

For number 6, just add 96 and 160 and then do 160/(96+160), which is equal to 0. 625, or 62.5%.

for number 7, x is always equal to 1/3 of y, so if x is 18, we know that 18 is 1/3 of y. 18x3 is equal to 54, which is your answer.

For number 8, you can see that B is right because it uses the greatest common factor of 32 and 48, which is 16. All the other answers can be simplified more.

Answer:

6. C) 62.5%

7. D) 54

8. B) 16(2c + 3d)

Step-by-step explanation:

160 + 96 = 256

[tex]\frac{160}{256}=\frac{160/32}{256/32}=\frac{5}{8}[/tex]

5 ÷ 8 = 0.625

0.625 × 100

62.5%

GCF = 32

The factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

The factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256

The GCF is 32.

1:3 = 7:21 = 9:27 = 13:39 = 18:y

[tex]\frac{1}{3}: \frac{18}{y}[/tex]

1 × y = 18 × 3

y = 54

GCF(32, 48)

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF = 2 × 2 × 2 × 2

GCF = 16

16(2c + 3d)


Which expression is equivalent to ((4^(5/4)x4^(1/4))/4^1/2)^1/2
?
^16sqrt4^5
Sqrt2^5
2
4

Answers

Answer:

2

Step-by-step explanation:

add 5/4 and 1/4 to get 6/4 or 3/2

(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4

4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2

4^1/2 is the square root of 4, which is 2

Answer:

2

Step-by-step explanation:

In first step use the product rule of exponents .

so exponents going to add up.

Then in the second step simplified exponents.

After that Its division rule of exponents. and according to division to the exponents get subtracted.

In the end he would be left with four to the power half. which means square root of 4. which is 2.

1) Find 5 points on the line y = 3/5 x - 4 by picking 5 x values, plugging in, and getting 5 y values. You must pick x
values that result in INTEGER values for y. Show every step of the process, working vertically.
2) Graph the line from problem 1. You must use a straightedge on axes and line. Each line on the graph paper is one
unit. Put arrowheads on the line. Do NOT put numbers or hash marks on your graph. Show your 5 points clearly
3) Using the formula and working vertically, firid the slope between the points (-2,5) and (6,-7).
4) Identify the slope and y-intercept of the line y = -4/3 x + 4
5) Graph the line from problem #4 by plotting the y-intercept, and then using the slope to get a second point. All rules
from problem 2 apply here as well.

Answers

It’s 5 for sure it is

The length of a rectangular plot is 9/2 times that of it's breadth. If the area of the plot is 200
square meters, then what is it's length?

Answers

Answer:

The length of the rectangular plot is 30 m

Step-by-step explanation:

Mathematically, the area of a rectangle is the product of its length and width

Let us have the length as x m ; for the length to be 9/2 of the breadth, it means the breadth is 2/9 of the length

so we have the breadth as 2/9 * x = 2x/9

The product of the two equals the area which is 200 square meters

thus, we have it that;

x * 2x/9 = 200

2x^2 = 9 * 200

x^2 = 1800/2

x^2 = 900

x = √900

x = 30 m

Solve -33 < 12x + 15 99.

Answers

Approximately x=2.9.4

What is the name of the point located at (4, 3)?
A. Point M
B. Point P
C. Point W
D. Point X

Answers

The answer to your question is D

Answer:

Point X

Step-by-step explanation:

Okay so to find the answer to this one simply go to the origin (0,0), then go over 4 and then up 3

The point located at point (4,3) would be point X

Answer fast again important

Answers

Answer: 17 square inches.

Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.

The angles of a triangle measure 50°, 62°, and x. Find the value of x.​

Answers

If this is what your looking for.

Triangles add up too 180, so
180-50-62=68

So 68 is your answer.

I hope this helps you!

find the height of a right cylinder with surface area 160pie square units and radius 5 units

Answers

Given:

Radius of a cylinder = 5 units.

Surface area of the cylinder = [tex]160\pi[/tex]

To find:

The height of the right cylinder.

Solution:

Surface area of a cylinder is:

[tex]A=2\pi rh+2\pi r^2[/tex]

Where, r is radius and h is the height of the cylinder.

Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get

[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]

[tex]160\pi =10\pi h+2\pi (25)[/tex]

[tex]160\pi =10\pi h+50\pi [/tex]

Subtract [tex]50\pi[/tex] from both sides.

[tex]160\pi -50\pi=10\pi h [/tex]

[tex]110\pi=10\pi h [/tex]

Divide both sides by [tex]10\pi[/tex].

[tex]\dfrac{110\pi}{10\pi}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cylinder is 11 units.

Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
If necessary, you may learn what the markings on a figure indicate.
PLS HELP ASAP

Answers

Answer:

Step-by-step explanation:

Triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.

Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?

Answers

Answer:

3(b+2)balls

Step-by-step explanation:

Given data

number of bags of golf balls= 3

number of balls in each bag=b

total number of balls in all three bags= 3b

His friend gave him 6 more= 3b+6

Hence the total balls is = 3b+6

= 3(b+2)balls

how to solve numbers 4-5

Answers

Answer:

x^2+7x+6

Step-by-step explanation:

Our school is selling t-shirts and sweatshirts as a fundraiser . One student buys 2 t-shirts and 2 sweatshirts for $26 . Another student buys 1 t-shirt and 3 sweatshirts for $33 . This situation can be modeled by the system of equations below .

Answers

Answer:

The value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.

Step-by-step explanation:

Given that our school is selling T-shirts and sweatshirts as a fundraiser, and one student buys 2 Tt-shirts and 2 sweatshirts for $ 26, while another student buys 1 T-shirt and 3 sweatshirts for $ 33, to determine the value of the T-shirts and sweatshirts the following calculation must be made:

2X + 2Y = 26

X + 3Y = 33

Y - X = 7

2 x 3 + 2 x 10 = X

6 + 20 = X

26 = X

Therefore, the value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.

Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...

Answers

Answer:

[tex]a_{n}[/tex] = 4 [tex](-5)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

[tex]a_{n}[/tex] = 4 [tex](-5)^{n-1}[/tex]

Solve for x. -6 + 8x = 42 please help 10 pts!

Answers

Answer:

x = 6

Step-by-step explanation:

Given

- 6 + 8x = 42 ( add 6 to both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Encuentra la factorizacion

Answers

Can you ask the question in English.?

Please dont put any files or links. answer each equation please.

Answers

Answer:

23 thousandths. = 23 ÷ 10^3

9+4 × (6÷3) > (9+4×6) ÷ 3

5 tens + 2 hundredths. < 50.20

810.6 ÷ 10. = 8.106 × 10

Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?




.

Answers

Answer:

$28080 per year

Step-by-step explanation:

15$ per hour for the first job and she does it for 10 hours each week, this means, 15*10 which is 150. So we have 150 for the 1st job every week.

2nd job, 13$ per hour. She does that for 30 hours a week so we have 13*30 which is 390$ per week.

The two jobs together are 150 per week and 390 per week which means 540$ per week. Now` if we want to find how much she makes in a year, the are 52 weeks in a year, so multiply 540$ *52=$28080

So she makes $28080 per year

The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the Ferris wheel rotates through an angle of 4.1 radians? Round your answer to nearest tenth of a foot

Answers

Answer:

322.0 ft

Step-by-step explanation:

d = ∅r

d = 4.1 π * 25

d = 322.013246993

Rounded

322.0 ft

Given that ABCD is a rhombus, what is the value of x?

Answers

Your answer is 30 i guess you understood
Keep learning : )

Answer:20.75

Step-by-step explanation:

Trust me gangsta

can someone pls help for brainlest

Answers

Answer:

A

Step-by-step explanation:

52-(20+20+8)

THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB=3 and AD=1, what is the length of AC?

Answers

Answer:  9 units

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

Explanation:

For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.

Use the pythagorean theorem to find that...

(AD)^2 + (BD)^2 = (AB)^2

(1)^2 + (BD)^2 = (3)^2

1 + (BD)^2 = 9

(BD)^2 = 9-1

(BD)^2 = 8

Normally we would isolate BD itself, but I'll stop short and use that last line instead.

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

The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).

Since we have similar triangles, we can form the proportion shown below

AD/BD = BD/CD

This cross multiplies to

AD*CD = (BD)^2

We know that AD = 1 and (BD)^2 = 8, so,

AD*CD = (BD)^2

1*CD = 8

CD = 8

This then means,

x = CD+DA

x = 8+1

x = 9

AC is 9 units long.

Would appreciate any assistance

Answers

Answer:

The answer is 37

Step-by-step explanatio

10 Y What is the vertical change from Point A to Point B? 9 8 What is the horizontal change from Point A to Point B? 7 6 What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary 5 4 3 3 B 2 A 1 X 1 . 2 3 4 5 6 7 8 9 10

Answers

Answer:

0.5

Step-by-step explanation:

From the graph given ;

The vertical distance ; y - axis :

(y2 - y1) ; y2 = 2 ; y1 = 1

y2 - y1 = 2 - 1 = 1

The horizontal distance ; the x - axis :

(x2 - x1) ; x2 = 4 ; x1 = 2

x2 - x1 = 4 - 2 = 2

The slope ; the rate of change :

Change in y / change in x

The rate of change ;

(y2 - y1) / (x2 - x1) = 1 / 2

Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.

Answers

Answer: 112 square cm

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

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

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

Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

Substitute the given side lengths into the equation for the Pythagorean Theorem.

Answers

Answer:

15 is the missing side (hypotenuse)h

Step-by-step explanation:

A^2+b^2=c^2

9^2+12^2=c^2

81+144=c^2

225=c^2

15=c

Solve the following system of equations by substitution. PLEASE HELP!

Answers

Answer:

(1,-1)

Step-by-step explanation:

y = -1

5x+7y = -2

Substitute the first equation into the second

5x + 7(-1) =-2

5x -7 = -2

Add 7 to each side

5x-7+7 = -2+7

5x= 5

Divide by 5

5x/5 = 5/5

x =1

(1,-1)

please explain fully and i give brainiest thanks and 5 stars

Answers

Answer:

[tex]a=7,\\b=3[/tex]

Step-by-step explanation:

The area of a rectangle is equal to [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. In a rectangle, opposite sides are equal.

Therefore, we can write the following system of equations:

[tex]\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}[/tex]

Expand the first equation:

[tex]9a+ab=84[/tex]

Substitute the second equation into the first ([tex]ab=21[/tex]):

[tex]9a+21=84,\\9a=63,\\a=\boxed{7}[/tex]

Solving for [tex]b[/tex]:

[tex]7b=21,\\b=\frac{21}{7}=\boxed{3}[/tex]

Answer:

Step-by-step explanation:

Hope this helps u!!

Graph the line with the equation y=-1/6x+3

Answers

Hope this helps ;)

(not sure if you meant to put a negative sign)
hope this is helps! gl

Which of the binomials below is a factor of this expression?
4x² - 25y2z2
O A. 4x - 5yz
B. 4x2 - 5y2 22
O c. 2x2-5y2 2
O D. 2x - 5yz

Answers

Answer:

the answer is D

1.step by step explanation :

[tex]4 {x}^{2 } - 25 {y}^{2}{z}^{2} [/tex]

[tex] \sqrt{4 {x}^{2} } - \sqrt{25 {y}^{2} } {z}^{2} [/tex]

2x-5yz

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