If Tanø =a/b Find the value of sinø+cosø/sinø-cosø

If Tan =a/b Find The Value Of Sin+cos/sin-cos

Answers

Answer 1

Answer:

[tex]\frac{b+a}{b-a}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]

So, Perpendicular = b, base = a

Finding hypotenuse by Pythagorean Theorem:

[tex]c^2 = a^2+b^2[/tex]

=> So, hypotenuse = c

Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]

Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]

So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]

=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]

=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]

=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]

=> [tex]\frac{b+a}{b-a}[/tex]


Related Questions

23. A 340 million square mile forest is how many hectares?

Answers

Answer:

88059595400 hectares

Step-by-step explanation:

Convert 340 million square miles into hectares.

1 square mile = 258.99881 hectares

340,000,000 square miles = 88059595400 hectares

The forest is 88059595400 hectares.

Answer:

[tex]8.80597(10^{10})[/tex] hectares

Step-by-step explanation:

This is unit conversion:

[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]

We then multiply, with our units miles canceling out and leaving us with hectares:

[tex]8.80597(10^{10})[/tex] hectares

or

88059700000 hectares

Please help me ima give BRAINLIST

Answers

Answer:

53

Step-by-step explanation:

We know the first term and common difference so we can write the explicit formula. The formula is:

aₙ = a₁ + (n - 1)d

aₙ = 8 + (n - 1) * 3

aₙ = 3n + 5

This means that a₁₆ = 3 * 16 + 5 = 53

by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,

A16=A1 + (n-1) d

A16=8 + (16-1) (3)

A16 = 53

I hope I helped! Be safe!

The number or expression in a power that is multiplied by itself?​

Answers

Answer:

the base???

Step-by-step explanation:

Answer:

Exponent

Step-by-step explanation:

An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.

Geraldo is driving 504 miles to his grandparents’ house for the holidays. So far he has driven 21 miles in 20.3 minutes. If he continues to drive at this average rate of speed, estimate how long the entire trip will take.

Answers

Answer: about 5 hours and 3 min

Step-by-step explanation:

Answer:

about 8 hours and 7 minutes

Step-by-step explanation:

have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.

simplify
[tex] \frac{3x - 12x {y}^{2} }{6 - 3y - 18 {y}^{2} } [/tex]

Answers

Answer:

  [tex]\dfrac{2xy+x}{3y+2}[/tex]

Step-by-step explanation:

Factor numerator and denominator and cancel common factors.

  [tex]\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}[/tex]

HELP ASAP ! Identify the volume and surface area of a sphere in terms of pi with a great circle area of 144pi ft^2.

Answers

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

PLEASE HELP: ABCD is a parallelogram. If m DAB=105, then what is m BCD

Answers

Answer:

[tex]\boxed{105}[/tex]

Step-by-step explanation:

∠DAB = ∠BAC = 105 degrees

This is because opposite angles of a parallelogram are congruent.

Answer:

105

Step-by-step explanation:

∠DAB = ∠BAC = 105

what are the soultions of 3(x-4) (2x-3)= 0 check all

Answers

Answer:

{3/2, 4}

Step-by-step explanation:

Set x - 4 = 0 and solve for x:  x = 4 is a solution.

Seet 2x - 3 = 0 and solve for x:  3/2 is another solution.

Please Help me ASAP Just answers please ;)

Answers

Answer:

C

Step-by-step explanation:

< means exclusive, so open hole

≤ means inclusive, so closed dot

also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.

please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:

Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.


Write the inequality and show all work to solve the inequality.


Graph the solution to your inequality on a number line.


Explain what your solution means in the context of the problem.

Answers

Well for the activity we can do a game.

In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.

We can make the following inequality,

2x + 50 ≥ 100

So to find x we single it out,

2x + 50 ≥ 100

-50 to both sides

2x ≥ 50

Divide 2 by both sides

x ≥ 25

For the number line look at the image below ↓

The solution in the number line is the number of monsters killed in order to level up.

Hope this helps :)

What is the slip of the line shown below?

Answers

Answer:

Assuming you mean slope, the answer would be ...

2

The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.

When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.

Therefore, your answer is 2

Hope this helps!

Answer: 2

Step-by-step explanation:

The slope would be 2 :)

HELP IMA GIVE BRAINLY AND A LIKE

Answers

Answer: 18 animals

Step-by-step explanation:

3 out of 20 pet owners get their pet from a breeder.

To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.

3/20 = 0.15

122 * 0.15 = 18.3

18.3 rounds down to 18

There are 18 animals who have been bought from a breeder.

Please sb help and write it down on paper then send a pic❤️

Answers

Answer:

Step-by-step explanation:

1) We would determine the cube root of 27 and find its square.

Cube root of 27 = 3

3² = 9

Solution = 9

2) 36³ = 46656

√36³ = √46656 = 216

3) we would find the 5th roof of - 243 and find its cube

5th root of - 243 = - 3

- 3³ = - 27

Solution = - 27

4) Looking at the expression, 40⅔, we can see that

a = 2

b = 3

c = 40

Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40

Step-by-step explanation:

PLEASE HELP!!

triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc

Answers

Answer:

-7,-6,-3.these are the vertices

Which linear inequality is represented by the graph?

Answers

Answer:

B.  y ≤ 1/2x + 3

Step-by-step explanation:

Well we can start by finding the y-intercept which is the point on the line that touches the y-axis in this case it’s 3.

And by looking at the shade it is facing down and the line is solid so the inequality starts with y ≤,

So we can cross out answer choices C. and D.

And the slope is 1/2 because that’s how far away each points are from each other.

So the inequality is y ≤ 1/2x + 3

Look at the image below.

Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4

Answers

Answer:

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Step-by-step explanation:

To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:

[tex]y = 2*0 - 8 = -8[/tex]

To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:

[tex]0 = 2*x - 8[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

So the y-intercept is -8 and the x-intercept is 4.

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Please answer this question in two minutes

Answers

Answer:

FGH and BCD

it's obvious.

no common lines between them

1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

HELP ASAP LINEAR EQUATIONS!!

Answers

Answer:

y = 4/3x - 10.

Step-by-step explanation:

3x + 4y = 12

4y = -3x + 12

y = -3/4x + 3

If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.

So far, for the equation of the line, we have an equation of y = 4/3x + b.

To find b, simply substitute the coordinates (6, -2) for x and y.

-2 = 4/3(6) + b

b + 4/3(6) = -2

b + 8 = -2

b = -10

So, the equation of the line will be y = 4/3x - 10.

Check your work...

-2 = (4/3)(6) - 10

-2 = 8 - 10

-2 = -2

Hope this helps!

Answer: C) [tex]y = \frac{4}{3} x-10[/tex]

Step-by-step explanation:

First change this equation into slope-intercept form(y = mx + b).  y = -3/4x + 3.

For a line to be perpendicular to another line, it must have an opposite reciprocal slope.  The opposite reciprocal of -3/4 is 4/3.  Thus, the answer is NOT B.  Then, attempt to plug in 6, -2 into each equation.  The only one where it works is C.

Hope it helps <3

What is the inverse of the function f(x) = 2x + 1?
1
o h(x) = 5x-
2x +
O h(x) = 1
3x-2
N/" Nr
Oh(x) =
O h(x) = x + 2

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

What is the value of m in the equation
zm = 16, when n = 8?

Answers

Step-by-step explanation:

nm=16

m=16/n

m=16/8

m=2

A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips

Answers

Answer:

$112.50

Step-by-step explanation:

so the first thing you would do is add 12 to 13 to get

12 + 13 = 25

then multiply 25 by 4.50 to get

25 x 4.50 = 112.50

so the average number of tips the server has received is $112.50

Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11​

Answers

Step-by-step explanation:

[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions

[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution

[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]

no solutions

What is the product? ​

Answers

Answer:

It's (B)

Step-by-step explanation:

Estimate the product of the numbers 908 x 67 by rounding each number to the nearest hundred. The estimated product is ?

Answers

Answer: 90,000

Work Shown:

908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.

While 67 rounds to 100, for similar reasoning as above.

Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.

Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.

Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.

Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.

Answers

Answer:

1/4 or 0.25

Step-by-step explanation:

1)January

2)February

3)March

4)April

5)May

6)June

7)July

8)August

9)September

10)November

11)October

12)December

Months that have less than five letters in its name

June

July

May

Probability= successful outcome ÷ possible outcone

Successful outcome=3

Possible outcome=12

Probability of Hannah guessing her brother's birthday=3÷12=1/4

PLEASE HELP ME! IM REALLY CONFUSED!

Answers

Here is the answer! Please let me know if you’re confused on anything.

What is 3/5 of £85? PLEASE HELPPP

Answers

Answer:

51

Step-by-step explanation:

85/5x3=51

Answer:

Hey!

3/5 of 85 = 51!

Step-by-step explanation:

3/5 = 0.6

So 0.6 x 85 = 51!

HOPE THIS HELPS!!

4(13) + (18 4 27)
4(10) + 4(3) + (18 + 27)
40 - 12 + (+ 27)​

Answers

Answer: Associative Property: (40+(12+18)+27. Evaluate: 97

Steve washed 15 cars in 3 hours. How many cars can he wash in 7 hours?

Answers

Answer:35 cars in 7 hours.

Step-by-step explanation:15/3=5 per hour. 5x7=35.

Answer:

35 cars in 7 hrs

Step-by-step explanation:

Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.

In 7 hrs he can wash

5 cars

---------- * 7 hrs = 35 cars in 7 hrs

   hr

Other Questions
It's not possible to die in an alcohol-related collision if you're not in an automobile.A. TrueB. False 30m + 45m = 150 pls help! Jay received the following fair market value amounts during the current year: Interest on Montgomery County bonds (used to build a bridge) $100 Interest on U.S. Treasury notes $200 Gain on sale of Montgomery County bonds $300 Common stock dividend in IBM Corporation common stock (no cash option) $400 What amount of taxable income should Jay report from these amounts On January 1, the Matthews Band pays $65,800 for sound equipment. The band estimates it will use this equipment for four years and perform 200 concerts. It estimates that after four years it can sell the equipment for $2,000. During the first year, the band performs 45 concerts. Compute the first-year depreciation using the units-of-production method. g The perimeter of a rectangular garden is 168 feet. If the length of the garden is 6 feet more than twice the width, what is the length of the garden? Length = 52.5 feet Length = 54 feet Length = 58 feet Length = 48 feet Convert the fraction 19/20 into a decimal PLZ HELP Sound is a form of wave. List at least three reasons to support the idea that sound is a wave The area of a rectangular garden is given by the quadratic function:A(x)=-6x^2+105x-294A . Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value(s) of x produces an area of 100 square units? What fraction of the students are girls give your answer in its simplest form THIS IS A WHOLE PAGE ITS FOR 40 points MIDDLE SCHOOL PLEASE HELP You work summer construction, and your hours may vary depending on the weather. The following table provides the number of hours you worked each day for the past week. On average, how many hours did you work per day? Sun. Mon. Tues. Wed. Thurs. Fri. Sat. Hours 5.5 12 9.5 11 7 10 8 8 9 10.5 12.6 63 PLEASE HELP IMMEDIATELYFind x when[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex][tex] - \frac{23}{4} [/tex][tex] - \frac{19}{4} [/tex][tex] \frac{19}{4} [/tex][tex] \frac{23}{4} [/tex] The following sentence has a misplaced modifier. The group members met on Saturday working on the project together. Which revision corrects the error in the sentence? Read the following text then complete the exercises below. Be a Global Citizen!Everyone is a citizen of a country and other places on a map. Theres also local and state citizenship. Did you know that youre a citizen of your school community, as well?So, what exactly does it mean to be a citizen, anyway? A citizen is a member of a community with rights and responsibilities. In school you receive an education (a right) and you must obey school rules (a responsibility). Can you name other rights and responsibilities that come with citizenship?Theres a community thats even bigger than your country that you can be a citizen of, no matter where you live. Its our planet. Were connected to people like never before, from where you buy and sell, to the air we breathe, to the technology that makes anyones ideas just a click away. Through the United Nations, you have rights common to all people globally. You also have a responsibility to respect all peoples rights. National citizenship reminds important, but our common bonds and challenges are bigger than any national borders. Embrace the world-be a global citizen Whats the word? Use the clues to unscramble the following words relating to global citizenship. a).C R O O A L B T E A L (To work together) b).Y E T D I S R V I (Inclusion from different types of people) c).L A L B G O (Opposite of local) d).L N T P A E (Earth is one, Mars is another) e).L E R I O S SI Y N P I T B (Do you like ______ for your actions?) f).SI R H G T (Dr. Martin Luther King, Jr. fought for civil ______.) g).K A S T E A O I C N T (A global citizen ______ to improve the world. a.________________________ b.________________________ c.________________________ d.________________________ e.________________________ f.________________________ g.________________________ 8Do not writeoutside thebox9A company sells housesThe line graph shows the number sold per week for 30 weeks.Houses sold987Number 6of weeks 543210051 2 3 4Number of houses9 (a)Work out the range of the number of houses sold per week.[2 marks] 9. The reader can infer from the passage all of the following EXCEPT (2 points)a. The narrator's parents can't afford the medicine that can help his sick dog.b. The father's only option is to shoot the dog.c. The narrator blames himself for not being able to help his dog.d. The narrator's parents love and support him. You want to be able to withdraw $4000 a month for 30 years how much would you need to have in your account with an APR of 3.4% to accomplish this goal In the computer market Lenovo estimate that price elasticity of it's super lite computer -12.64 and the cross price elasticity of demand is 7.35 .The company now reduce price of this model by 9% of its present price level , explain with example what would happen to A. The sale of Lenovo super lite computer if it's close competitor Samsung also reduce it's price by 11% What is the domain of this function Which two objects in space formed from the huge disk of ice and debris beyond the outer planets? Pluto and comets comets and Neptune Neptune and a solar nebula a solar nebula and planetesimals