Help me with this equation, please. (Image Attached)

Help Me With This Equation, Please. (Image Attached)

Answers

Answer 1

So, the equation is sin(x + y)/sin(x - y) = (1 + cotxstany)/(1 + cotxtany)

The question has to to with trigonometric identities?

What are trigonometric identities?

Trigonometric identities are equations that show the relationship between the trigonometric ratios.

How to solve the equation?

Given the equation sin(x + y)/sin(x - y)

Using the trigonometric identities.

sin(x + y) = sinxcosy + cosxsiny andsin(x - y) = sinxcosy - cosxsiny

So, sin(x + y)/sin(x - y) = (sinxcosy + cosxsiny)/(sinxcosy + cosxsiny)

Dividing the rnumerator and denominator of ight hand side by sinx, we have

sin(x + y)/sin(x - y) = (sinxcosy + cosxsiny)/sinx/(sinxcosy + cosxsiny)/sinx

sin(x + y)/sin(x - y) = (sinxcosy/sinx + cosxsiny/sinx)/(sinxcosy/sinx + cosxsiny/sinx)

= (cosy + cotxsiny)/(cosy + cotxsiny) (since cosx/sinx = cotx)

Dividing the numerator and denominator of the right hand side by cosy, we have

= (cosy + cotxsiny)/cosy/(cosy + cotxsiny)/cosy

= (cosy/cosy + cotxsiny/cosy)/(cosy/cosy + cotxsiny/cosy)

= (1 + cotxstany)/(1 + cotxtany)   [since siny/cosy = tany]

So,  sin(x + y)/sin(x - y) = (1 + cotxstany)/(1 + cotxtany)

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Related Questions

URGENT!!!!!!

Use arrow notation to describe the translation of point P(–5, –4) to point P′(–8, –7).

Answers

The rule of the translation of point P(–5, –4) to point P′(–8, –7) is:

(x,y) -> (x - 3, y - 3).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, from point P to point P', 3 was subtracted from both the x-coordinate and the y-coordinate, hence the rule is given by:

(x,y) -> (x - 3, y - 3).

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What is the answer to this equation?

Answers

Answer:W ^10

Step-by-step explanation:

The solution is in the

what is 687/4 equal to​

Answers

Answer: 171.75

Step-by-step explanation:

a basic operation of arithmeticwhere numbers are broken up into equal parts687 will need to be split evenly into 4 groups

[tex]687/4 = 171.75[/tex]

Answer:

To find the result we have to divide, in a fraction the numerator is always divided by the denominator and the final result is 171.75

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Which of the following is NOT part of a scatter plot graph?


Key


Source


Labels


Scale




Which of the following is the scale on each axis based on?


Averages


Percents


Data


Number of data poin




The first step in the area method to estimate the line of best fit is to ______.


divide the data points equally with a horizontal line


draw a line around all of the data points


place two x's centered in each half of the data points


divide the data points equally with a vertical line

Answers

The complete statements are:

The Key is not part of a scatter plotThe scale on the axes of a scatter plot is based on the number of data pointsThe first step in the area method to estimate the line of best fit is to draw a line around all of the data points

How to complete the statements

Part of a scatter plot

The parts of a scatter plot are

LabelSourceScaleThe dataThe axes

This means that the Key is not part of a scatter plot

The scale on the axes

Here, the scale is determined by the number of data points that exists on the scatter plot

This means that scatter plots that have 10 and 100 data points might not be represented on the same scale

The line of best fit

This is determined by drawing a line through the data points on the scatter plot.

The line is know as the line of best fit

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5. Compound Interest - Single Payment: $5000 was invested at 5.2%, compounded semi-annually, for 3 years. What was the investment worth at its maturity? (3)​

Answers

Answer:

78000

Step-by-step explanation:

5000/1 times 52/10 times 3)1

What is the best estimated volume of the figure?
can anyone solve this for me with a detailed explanation step by steps and reasoning so i can grasp concepts

Answers

The answer is 756 m³.

The formula to find volume is : length × width × height

To estimate, round each dimension to the nearest whole number.

⇒ 12.3 ≅ 12

⇒ 7.2 ≅ 7

⇒ 8.6 ≅ 9

Volume = 12 × 7 × 9

Volume = 84 × 9

Volume = 756 m³

Answer:

The ans to this question is 756 which is Option (B)

Step-by-step explanation:

Estimate volume = rounding every digit

= 12.3 = 12

= 7.2 = 7

= 8.6 = 9

= 12x7x9 = 756

Enter the letter for the function graphed
below.
1
a) y = √x - 5
b) y = √√√x-5
c)y=5-√√x
d) y = √x +
e) y = √√√x +

Answers

Answer:

  e)  y = √(x) +5

Step-by-step explanation:

The graph shown is the graph of the square root function shifted upward 5 units. There is no translation left or right.

Translated function

A function can be translated h units right and k units up by the following:

  g(x) = f(x -h) +k

Translated square root

When the function is f(x) = √x, and it is translated 5 units up, but none left or right, we have ...

  g(x) = f(x-0) +5

  y = √(x) +5 . . . . . . matches choice e

how to find h’(3)
base on the graph

Answers

By the quotient rule for differentiation,

[tex]\displaystyle h'(x) = \dfrac{g(x)f'(x) - f(x)g'(x)}{g(x)^2}[/tex]

According to the plots of [tex]f[/tex] and [tex]g[/tex], we have [tex]f(3)=2[/tex] and [tex]g(3)=3[/tex].

On the interval [2, 4], [tex]f[/tex] is a line through the points (2, 5) and (4, -1), and hence has slope (-1 - 5)/(4 - 2) = -3, so [tex]f'(3)=-3[/tex]. We can similarly find [tex]g'(3)=2[/tex].

Then

[tex]h'(3) = \dfrac{3\cdot(-3)-2\cdot2}{3^2} = \boxed{-\dfrac{13}9}[/tex]

19 ft
4 ft
l
Find l.
l = √ [?] ft

Answers

Answer :LF is the abbreviation for linear feet Sq ft is the abbreviation for square feet L – lenght (e.g. room length) W – width (e.g. room width)

Liters to Cubic Feet formula. ft³ =. L * 0.035315. Show working Show result in exponential format More information: Cubic Feet.

Step-by-step explanation:

The cone creates a triangle. Let the hypotenuse be L which we are trying to solve for. The vertical side is 9 feet. The horizontal side is half the diameter or 2 feet.

2^2 + 9^2 = L^2
4 + 81 = L^2
85 = L^2
L = square root of 85

HELP PLS BRAINLIEST IF POSSIBLE

Answers

For the given set A, A is a set of x, where x depends on n. x= 11, where the values of n in ascending order are 1,2,3,4.

Simply put, a set in mathematics is a grouping of different items.

An element of the set is any component of the set. When writing a set, curly brackets are utilized.

The components of a set can be represented using a variety of notations. Typically, sets are represented using a set builder form or a roster form.

According to the question,

A = {11,22,33,44}

The elements of set A are all multiples of 11. These can be expressed as 11*n, here, n has the values of 1,2,3 and 4.

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if 6m of a uniform iron rod weighs 21 kg what will be the weight of 16 m of the same rod?​

Answers

Answer:

56kg

Step-by-step explanation:

If 6m of a rod is 21 kg, then 21/6 will give us the weight of 1m of the rod. 21/6 = 3.5 kg

16*3.5 = 56 kg

20 is 50% of what number? If necessary, round to the nearest tenth.

Answers

Answer:

20 is 50% of 40.

Step-by-step explanation:

1% = 1/100

50% = 50/100 or 1/2

1/2 = 20/n

1*20/2*20 = 20/n

20/40 = 20/n

n = 40

If f ( x ) = 3x 2 - 6x + 2 and g ( x ) = 2x 2 + 2x - 11,
then find f ( x ) + g ( x ).

Answers

Answer:

[tex]5x^{2} -4x-9[/tex]

Step-by-step explanation:

f(x)+g(x)

[tex](3x^{2} -6x+2) + (2x^{2} +2x-11)\\3x^{2} -6x+2 + 2x^{2} +2x-11\\[/tex]
combine like terms --
[tex]5x^{2} -4x-9[/tex]

The sum of the given two functions f(x) = 3x² -6x + 2 and g(x) = 2x²+ 2x -1 is: f(x) + g(x) = 5x² - 4x - 9

Given that:

Functions, f ( x ) = 3x² - 6x + 2

And g ( x ) = 2x² + 2x - 11.

Then find f ( x ) + g ( x ).

To find the sum of two functions, f(x) + g(x), simply add the corresponding terms together.

To find f(x) + g(x), add the coefficients of the corresponding terms:

f(x) + g(x) = (3x² + 2x²) + (-6x + 2x) + (2 - 11)

Now, combine like terms:

f(x) + g(x) = 5x² - 4x - 9

So, the sum of the two functions is:

f(x) + g(x) = 5x² - 4x - 9

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What insult is meat shield I never understood it if someone calls a person a meat shield what does the insult mean

Answers

Answer: someone who is viewed as obsolete or a person you can use to save yourself from any problem/situation

Step-by-step explanation:

Answer:

The term "meat shield" is often used as an insult to refer to someone who is used by others as a protective barrier, especially in a dangerous or violent situation. The implication is that the person being referred to is expendable and not valued for their own merits or abilities.

Here are a few examples of insults that use the term "meat shield":

"You're nothing more than a meat shield for your boss."

"You're just a disposable meat shield to your friends."

"You're nothing but a human meat shield to your team."

"You're just a weak and pitiful meat shield."

"You're just a coward who hides behind others like a meat shield."

Again, it's important to remember that using insults is never a productive or kind way to communicate with others. It's always better to try to address the issue in a respectful and constructive manner.

4- Evaluating Expressions
11) (2 + y - x); use x = 4 and y = 6
13) P(+²); use a = 7 and p=6
6
5-Solving Inequalities
16) 1 ≤
10 11 12
18) 6v> 54
13 14 15 16 17 18
8 9 10 11 12 15 14 15 16 17 18
12)3(8a-5b)-2(a + b); use a = 3 and b = 2
14) 3m-2+
use m = 5 and n = 6
17) 20 19) 82/2
4
14 15 16 17 15
9 10 11 12
14 15 16 17 15

Answers

Answer:

The answer is 4'

Step-by-step explanation:

The answer is 4, 123456789, 6 12, 18, 24, 30, 36, 42, 48.

A manufacturer has a steady annual demand for 22,638 cases of sugar. It costs ​$7 to store 1 case for 1​ year, ​$33 in set up cost to produce each​ batch, and ​$15 to produce each case. Find the number of cases per batch that should be produced to minimize cost

Answers

The number of cases per batch that the manufacturer should produce to minimize cost is 462 cases per batch.

How can inventory costs be minimized?

To minimize inventory costs, especially setup and holding costs, the economic order quantity (EOQ) technique is deployed.

The EOQ model refers to the ideal order or batch quantity a company should purchase per order or produce per batch to minimize its inventory costs.

Some of a company's inventory costs include holding costs, shortage costs, setup, and ordering costs.

Using the EOQ model shows the ideal minimum units that the manufacturer should produce per batch to minimize costs.

The EOQ formula is square root of: [2(setup costs)(demand rate)] / holding costs.

Data and Calculations:

Annual demand = 22,638 cases

Storage cost per case = $7

Setup cost per batch = $33

Product unit cost = $15 per case

EOQ = square root of: [2(setup costs)(demand rate)] / holding costs.

= square root of 2 x $33 x 22,638/$7

= square root of 213,444

= 462

Number of batches = 49 (22,638/462)

Thus, the number of cases per batch that the manufacturer should produce to minimize cost is 462 cases per batch.

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A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze and the second brand is 55% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 45% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer:

64 gallons 30%96 gallons 55%

Step-by-step explanation:

The amount of each brand can be found by writing and solving an equation that makes use of the given relations.

Setup

Let x represent the quantity of 55% pure antifreeze needed in the mixture. Then the quantity of the 30% brand is (160-x). The amount of pure antifreeze in the mixture is ...

  0.55x +0.30(160 -x) = 0.45(160)

Solution

Subtracting 0.30(160), we have ...

  x(0.55 -0.30) = 160(0.45 -0.30)

  x = 24/0.25 = 96 . . . . . simplify, divide by the coefficient of x

96 gallons of the 55% brand, and 64 gallons of the 30% brand must be used.

__

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Elena is 56 inches tall. (Note: 100 inches = 254 centimeters)
Round your answers to the nearest thousandth. Type the answers in the boxes below.
1. What is her height in centimeters? centimeters
2. What is her height in meters?

Answers

Elena's height in centimeters is 142.24 cm.

Elena's height in meters is 1.42 meters.

What is Elena's height in centimeters and meters?

The mathematical operations that would be used to determine the answers ae division and multiplication.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.

In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch

1 inch = 254 / 100

1 inch = 2.54 cm

Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm

In order to determine the height in meters, first find the unit of conversion of inches to meters

1 inch = 0.0254 meters

0.0254 x 56 = 1.42 meters

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Which pair of angles are vertical angles? AngleWRU and AngleSRT AngleWRS and AngleVRT AngleVRU and AngleTRS AngleVRT and AngleSRT

Answers

Step-by-step explanation:

important of festival in nepali languages for class seven

Answer:

b

Step-by-step explanation:

Find the value of x

Answers

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

x = 35°

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

[tex]\qquad❖ \: \sf \:4x + 1 + x + 4 = 180[/tex]

[ by linear pair ]

[tex]\qquad❖ \: \sf \:5x + 5 = 180[/tex]

[tex]\qquad❖ \: \sf \:5(x + 1) = 180[/tex]

[tex]\qquad❖ \: \sf \:x + 1 = 180 \div 5[/tex]

[tex]\qquad❖ \: \sf \:x + 1 = 36[/tex]

[tex]\qquad❖ \: \sf \:x = 36 - 1[/tex]

[tex]\qquad❖ \: \sf \:x = 35[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

x = 35°



Which expression shows the factored form of 49x² - y²?

Answers

Step-by-step explanation:

49x^2-y^2

=(7x)^2-(y)^2

=(7x+y) (7x-y)

Therefore, a^2-b^3

=(a+b) (a-b)

David signed up to provide snacks for his daughter and her school group's camping trip. He found a package of granola bars in bulk for $60 that he thought would be enough for everyone for a few days. He also wanted to buy some boxes of fruit snacks, which were $4 each. He just needed to decide how many to buy, and then figure the total cost.

Select the expression that will help him to determine the total cost.

Answers

The expression that will help him to determine the total cost is as follows:

y = 60 + 4x

How to construct an expression?

He signed up to provide snacks for his daughter and her school group's camping trip.

He found a package of granola bars in bulk for $60 that he thought would be enough for everyone for a few days.

He also wanted to buy some boxes of fruit snacks, which were $4 each.

The number to buy and the total cost can be expressed as follows:

let

y = total cost

x = number of boxes of fruit juice.

Therefore, the  expression that will help him to determine the total cost is as follows:

y = 60 + 4x

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Kelsey is looking for a job cutting hair. One option is self-employment at The Oakland Salon, where she would pay $400 per month to rent a station and keep all of her earnings. Another option is to work at a franchise, where she would just have to pay the salon $4 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How much would Kelsey pay?

Answers

she will have 100 hair cuts to work at a franchise to have the same amount paid for rent.

How to find the amount paid to either salon that is equal?

she would pay $400 per month to rent a station and keep all of her earnings.

Another option is to work at a franchise, where she would just have to pay the salon $4 for every haircut.

Therefore,

let

x = number of haircut

Hence,

4x = 400

divide both sides by 4

4x / 4  = 400 / 4

x = 100

Therefore, she will have 100 hair cuts to work at a franchise to have the same amount paid for rent.

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Study the spinner below. If wedges 2 and 5 are each twice the area of one of
the other wedges, what is the likelihood of landing on 2 or 3?

Answers

Using the probability concept, the likelihood of landing on 2 or 3 is given by:

[tex]p = \frac{3}{8}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, considering the areas of 2 and 5 counting twice, the spinner has 8 areas, out of which 3 are 2 or 3, hence the probability is given as follows:

[tex]p = \frac{3}{8}[/tex]

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A plant is 30cm tall when planted in a garden it increases by 10 percent each week how long will it take to reach 1 meter

Answers

Answer:

12.63 weeks ~~ 13 weeks

Step-by-step explanation:

This is much like a banking question with compounded interest

FV = PV ( 1 + i)^n       FV = Future value = 1 m   PV = present value = .3

                                     i = periodic interest = .10     n = periods

1 = .3(1 + .1)^n      solve for n = the number of weeks

1/.3   = 1.1^n

log (1/.3) / log 1.1  = n = 12.63 weeks

Prob around 12 weeks. Just times it by 1.01 and keep repeating it

will give brainliest

Answers

The possible rational roots of the given equation are 1 and -3

Solving polynomial equations

From the question, we are to determine all the possible rational roots of the given equation

The given equation is

x⁴ -2x³ -6x² +22x -15 = 0

To determine the rational roots, we will test for values that make the equation equal to zero

Test for -1

(-1)⁴ -2(-1)³ -6(-1)² +22(-1) -15

1 + 2 - 6 - 22 -15

= -40

∴ -1 is not a root of the equation

Test for 1

(1)⁴ -2(1)³ -6(1)² +22(1) -15

1 - 2 - 6 + 22 -15

= 0

1 is one of the roots of the equation

Test for -2

(-2)⁴ -2(-2)³ -6(-2)² +22(-2) -15

16 + 16 - 24 - 44 -15

= -51

∴ -2 is not a root of the equation

Test for 2

(2)⁴ -2(2)³ -6(2)² +22(2) -15

16 - 16 - 24 + 44 -15

= 5

∴ 2 is not a root of the equation

Test for -3

(-3)⁴ -2(-3)³ -6(-3)² +22(-3) -15

81 + 54 - 54 -66 -15

= 0

-3 is one of the roots of the equation

Test for 3

(3)⁴ -2(3)³ -6(3)² +22(3) -15

81 - 54 - 54 + 66 -15

= 24

∴ 3 is not a root of the equation

The other roots of the equation are irrational roots.

Hence, the possible rational roots of the given equation are 1 and -3

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E4.2 Simplify the following using suitable properties (a) 109x 50​

Answers

109×50

100×50+9×50=5000+450

5450

Answer:

5450

Step-by-step explanation:

You can just use a caculater to get the answer.

please help!!!

Using long division, what is the quotient of this expression?
3x42x³-x-4
x²+2
OA. 3x²
3x - 4
OB. 3x² + 2x + x² + 2
O C.
3x² 2x
O D.
-
2x
3x² + 2x
- 6 +
-
- 5+
-
3x + 8
x² + 2
-
3x+6
x²+2
5x8
x² + 2
Rese

Answers

Check the picture below.

notice, the dividend and divisor must be in descending order, and when one of the variables is "missing", is really not missing, it simply has a coefficient of 0.

Here is the solution process:

                     3 x² -  2 x  -   6                      

x² + 0x + 2 | 3 x⁴ -  2 x³ +  0  x² -     x -   4

                    3  x⁴ + 0 x³ +  6  x²                

                             - 2 x³  -  6  x² -      x -   4

                             - 2 x³  + 0  x² -   4 x        

                                        -  6  x² +  3 x  -  4

                                        -  6  x²  + 0 x  -  12

                                                        3 x  + 8

Long division:

Standard: [tex]\sf{3x^{2} -2x-6+\dfrac{3x+8}{x^{2} +2} \ \ \to \ \ \ Option \ "A" }[/tex]Quotient: 3x² - 2x - 6Rest: 8 + 3x

Therefore, the correct option is "A".

I need help with the question

Answers

Answer:

B

Step-by-step explanation:

Comment

√15 = 3.87

√12 = 3.46              Subtract these 2

Difference = 0.41

Write the ratio 6 sodas out of 16 drinks.

Answers

Answer:

3:8 3 sodas for 8 drinks

Step-by-step explanation:

6/16

3/8

6:16 is the answer because all u do is put how many there is out of the number of the sodas there are in total
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