1
Prove that
1: sin/1-cot + cos/1-tan=cos+sin​

Answers

Answer 1

Answer:

have:

[tex]\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2} }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos[/tex]

Step-by-step explanation:


Related Questions

PLEASE HELP URGENT!!!!!!!!!!!!
Thomas drew a line of best fit for the scatterplot shown. Write an equation for the line of best fit in slope intercept form. Show your work

Answers

Answer:

y=-2/3x+108

Step-by-step explanation:

If you look at the graph for "perfect points"(that's what I call them) you can get rise over run aka slope. In this case, it's -2/3. As for the y-intercept, following the graph's pattern, the y-intercept is 108. Just substitute the values into y=mx+b.

Consider the equation 3x + 1 = 2x + 5
(a) Why can't you determine whether this equation is true of false?

Answers

you can’t technically solve it because there’s no question

s +9=25
Help me please

Answers

it’s 16 lovely i need to write 20 letters

Find the value of x
X/5 + 1 = 5 X= ?

Answers

Answer:

20

Step-by-step explanation:

5-1=4×5=20 that's why

Answer:

x = 20

Step-by-step explanation:

[tex]\frac{x}{5} + 1 = 5[/tex]

isolate the [tex]\frac{x}{5}[/tex] by subtracting 1 from both sides

[tex]\frac{x}{5} + 1 -1 = 5-1[/tex]

[tex]\frac{x}{5} = 4[/tex]

then isolate the x by multiplying both sides by 5

[tex]\frac{x}{5} * 5 = 4 * 5[/tex]

[tex]x = 4 *5 = 20[/tex]

so

[tex]x = 20[/tex]

hope this helps :))

i need help......................

Answers

Answer:

D. i think

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

A ufo has a speed of 3000 km/h the distance between a and b is 7500km. how long will it take for the Ufo to fly from A to B
Please show the formula

Answers

Answer:

..........................

Rosa is looking at a map of the park that is laid out on a coordinate plane. Rosa is at(1, -1). The shelter house is at (-2, -4) and the fossil exhibit is at (3, 2). Each unit on the map represents 100 feet. How much closer is rosa to the fossil exhibit than to the shelter house

Answers

Answer:

[tex]63.709feet[/tex]

Step-by-step explanation:

This deals with the distance between two pointsuse the equation [tex]distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex] So we do the follow stepsFind distance from Rosa to Shelter houseFind distance from Rosa to Fossil exhibitSubtract the two answers to see differenceSo distance from Rosa to Shelter, we use (1,-1) and (-2,-4) so you plug your points in as follows [tex](1,-1)=(x_1,y_1)[/tex] and [tex](-2,-4)=(x_2,y_2)[/tex]  so then[tex]distance=\sqrt{((-2)-(1))^{2}+((-4)-(-1))^{2}}\\ distance=\sqrt{(-3)^{2}+(-3)^{2}}\\ distance=\sqrt{9+9}\\ distance=\sqrt{18}=4.24264[/tex] approximately (round off as they require)Now putting that into feet [tex]4.24264*100feet=424.264feet[/tex] Then next, distance from Rosa to Fossil exhibit, we use (1,-1) and (3,2) so you plug your points in as follows[tex]distance=\sqrt{((3)-(1))^{2}+((2)-(-1))^{2}}\\ distance=\sqrt{(2)^{2}+(3)^{2}}\\ distance=\sqrt{4+9}\\ distance=\sqrt{13}=3.60555[/tex]    approximately (round off as they require)Now putting that into feet [tex]3.60555*100feet=360.555feet[/tex] So right away we know, Rosa is closer to the Fossil exhibit than the ShelterThen to know by how much we subtract the longer distance from the shorter so [tex]424.264feet-360.555feet=63.709feet[/tex]

Rosa is closer to fossil exhibit than shelter house.

What is Distance Formula?

The two points in the cartesian plane P(a, b) and Q(c, d) then the distance between P and Q is

PQ = √c-a )² + (d-b)²

The distance from Rosa to shelter house

d= √(-2-1)² + (-4 +1)²

d =√9 + 9

d = √18

d = 4.24

and, the distance from Rosa to fossil exhibit

d= √(3-1)² + (2+1)²

d =√4 + 9

d= √13

d= 3.6

Learn more about Distance formula here:

https://brainly.com/question/25841655

#SPJ2

Solve the compound equality, and show work!!
2(x-1) ≥ 10 or 3-4x > 15

Answers

Answer:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Step-by-step explanation:

Hope this helps!!!!!

:)

Can someone please help?
I am stressing because I honestly do not understand this and the last person who answered this did not make it clear

Answers

Answer:

[tex]\frac{108}{125}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}[/tex]*[tex]\frac{25}{24}[/tex]= [tex]\frac{72}{125}[/tex]

[tex]\frac{72}{125}[/tex]÷[tex]\frac{2}{3}[/tex]=[tex]\frac{108}{125}[/tex]

Hope this helps you!

Solve the inequality 2(x-4)<12

Answers

Answer:

x < 10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

2(x - 4) < 12

Step 2: Solve for x

Distribute 2:                    2x - 8 < 12Isolate x term:                 2x < 20Isolate x:                          x < 10

Here we see that any number x smaller than 10 would work as a solution of x.

What percent is equivalent to 12/30?
0 12%
O 30%
0 40%
O 60%

Answers

Answer:

40 is the answer

Step-by-step explanation:

The answer would be 40% hope u pass:)

write this number in scientific notation 2,000,000,000

Answers

Answer:

2,000,000,000
In scientific notation is,
2 x 10^9
See attachment for answer:

Mark bought groceries two days during the week.
.
Mark purchased $15.00 worth of groceries and paid $17.10 after taxes on Monday.

Mark paid $51.30 after taxes on a purchase of groceries that cost $ 45.00 on Friday

Which equation models the relationship between y, the cost of the groceries after taxes,
and x, the cost of the groceries before taxes?

A. y=0.15x
B. y=1.14x + 0.15
C. y=1.14x
D. y=.015x + 17.10

Answers

Answer:

Its either A or C

Step-by-step explanation: times the 45.00 x 0.15 and then try 45.00 x 1.14 it will give you the answer :D

4. If the two angles and their non-included side of one triangle is congruent to the two
angles and their non-included side of another triangle, then the two triangles are
congruent by:
a. SAS postulate
b. AAS postulate
c. AAA postulate
d. ASA postulate

Answers

It think it B because that was the meaning for AAS postulate

Help meeeeeeeeee rn pos

Answers

to solve for slope intercept you would get y=x+2.5

Answer:

y = x + 2.5 or y = x + 5/2

Step-by-step explanation:

Multiply both sides by 2 so that they are not fractions anymore.

[tex](2)\frac{2y}{2} = \frac{2x}{2} + \frac{5}{2} (2)\\[/tex] This gives you...

2y = 2x + 5 (divide both sides by 2 to get the y alone.)

y = x + 2.5

Hope this helps ya!!

I need help with this pls!!

Answers

answer : (12,4)
that is the max point

Dee Anna has a roast that weighs 5.5 pounds. The recipe she is using calls for a roast that is 80 ounces. How many ounces does she need to cut off of the roast to make it the correct size?

Answers

Answer:

24

Step-by-step explanation:

well yea just trust me :)

Answer:

8 oz.

Step-by-step explanation:

there are 88 oz in 5.5 lbs.

the recipe calls for 80 oz.

subtract 88 from 80

answer - 8 ozs cut off.

A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?

A.
-28.47° latitude and 7.35° longitude
B.
-28.47° latitude and -7.35° longitude
C.
28.47° latitude and -7.35° longitude
D.
38.34° latitude and 220.95° longitude
E.
-38.34° latitude and 220.95° longitude

Answers

Answer:

The answer should be B

Step-by-step explanation:

to find the net change you need to do final minus initial. So the final would be Jakarta and the initial would be Hong Kong. so just subtract Jakarta's latitude from Hong Kong's and the same for longitude

Answer:

B also, I am this account. Im back guys. Gonna give away more points when I have enough points

Step-by-step explanation:

please help, will give brainlist
(x-2)(x-1) use the distributive property

please explain as well!

Answers

Answer:

Step-by-step explanation:

(x-2)(x-1)

You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.

You get x^2-x-2x+2 then combine terms.

x^2-3x+2

Answer:

x² - 3x + 2

Step-by-step explanation:

(x-2)(x-1)

xx - x - 2x + 2

x² - 3x + 2

If <1=(7−19)°and <2=(+5)°, find the <2

If m<5 = 42° and m<1 = 117°, find m
If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8, 6).

Find the distance between the two points. Round to the nearest thousandth.(-8, -2) and (6, -1)

If DE = 4x –1, EF = 9, and DF = 9x –22, find the value of x.

Answers

Answer:

We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x

1

,y

1

) and B(x

2

,y

2

) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates

P=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x

2

,y

2

) in the ratio 3:2, then using section formula we get,

C=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

⇒(1,1)=(

3+2

3x

2

+(2×−2)

,

3+2

3y

2

+(2×7)

)

⇒(1,1)=(

5

3x

2

−4

,

5

3y

2

+14

)

⇒1=

5

3x

2

−4

,1=

5

3y

2

+14

⇒5=3x

2

−4,5=3y

2

+14

⇒3x

2

=5+4,3y

2

=5−14

⇒3x

2

=9,3y

2

=−9

⇒x

2

=

3

9

,y

2

=−

3

9

⇒x

2

=3,y

2

=−3

Hence, the point B(x

2

,y

2

) is B(3,−3).

any help would be appreciated(brainly for best answer)

Answers

Answer:

(See below)

Step-by-step explanation:

m<1 = 180-130= 50 degrees

because <1 and the 130 degree angle are a linear pair so they are supplementary

m<2 = 50 degrees

because <1 and <2 are alternate interior angles so they are congruent

Sarah would like to hire a clown for her daughter's birthday party. Clown A
is offering his services for an initial fee of $105 in addition to $9 per hour.
Clown B is offering her services for an initial $155 fee in addition to $6 per
hour. When will the two clowns charge the same amount of money? Use a
table to estimate the solution.

Answers

The two clowns charge the same amount of money at 16.66 hours.

What is Wages?

Payment for work based on hours worked (or sometimes per day or per amount of work done).

Here, let the duration of birthday party be x hours.

For Clown A,

Initial fee = $ 105

Additional charge = $ 9 per hour

Total amount of clown A = $ (9x + 105)   ...........(i)

For Clown B,

Initial fee = $ 155

Additional charge = $ 6 per hour

Total amount of clown B = $ (6x + 155)   ...........(i)

Now, according to question

9x + 105 = 6x + 155

9x - 6x = 155 - 105

3x = 50

x = 50/3

x = 16.66 hours

Thus, the two clowns charge the same amount of money at 16.66 hours.

Learn more about Wages from:

https://brainly.com/question/14718127

#SPJ1

Find the greatest common factor of 14 and 55

Answers

Answer: The factors of 14 are 14, 7, 2, 1.

             The factors of 55 are 55, 11, 5, 1.

The common factors of 14 and 55 are 1, intersecting the two sets above.

In the intersection factors of 14 factors of 55 the greatest element is 1.

Therefore, the greatest common factor of 14 and 55 is 1.

Step-by-step explanation:

The greatest common factor of 14 and 55 is 1.

To find the greatest common factor of 14 and 55.

First write the factor of 14.

14 × 1 = 14, 7 × 2 = 14, 2 × 7 = 14, 1 × 14 = 14.

Which are 14, 7, 2 and 1.

Now, write the factor of 55.

55 × 1 = 55, 11 × 5 = 55, 5 × 11 = 55, 1 × 55 = 55

Which are 55, 11, 5 and 1

Therefore, the common factor of 14 and 55 is 1.

Learn more about factor here:

https://brainly.com/question/29054350

#SPJ6

Given: AE= 7 5/8cm, AB=BC, CD= 1/2cm, and DE is 3/8 more than AB. What is the length of DE?

Answers

Answer:

Length of DE = 2.90 (Approx)

Step-by-step explanation:

Given:

AE = 7[tex]\frac{5}{8}[/tex]cm = 61 / 8 cm = 7.625 cm

AB = BC

CD = 1/2 cm = 0.5 cm

DE is 3/8 more than AB

Find:

Length of DE

Computation:

Assume;

AB = BC = x

So,

DE = x + 3/8(x) = [11 / 8]x = [1.375]x cm

AE = AB + BC + CD + DE

7.625 = x + x + 0.5 + [1.375]x

7.125 = 3.375 x

x = 2.1111 (Approx)

Length of DE = [1.375][2.111]

Length of DE = 2.90 (Approx)

Round the following factors to estimate the products
597x52= ____ x____=_____
A reasonable estimate for 597 x 52

Answers

Step-by-step explanation:

597 rounding would be 600 while 52 would be 50.

So 600 x 50

= 30,000

what is 2/3i-3 simplified?

Answers

This is division of 2 complex numbers.


2__ =
3 - i

Multiply both numerator and denominator by conjugate number of the denominator.

2 * 3+ i =
3 - i 3 +i
separate the rational and irrational numbers from
each other


6 + 2i = 3 + 1 i
10 5 5

This is also division of 2 complex numbers into each other.

please help me, I have asked this question two timed already. Also please show your work

the choices are..

2 three course meals
20 three course meals
7 three course meals
5 three course meals​​

Answers

Answer:

7

Step-by-step explanation:

15x is money for the people who have 3 course meals

12(10-x) =  120-12x is money for the people who have 2 courses.

15x+120-12x = 141

3x+120 = 141

3x = 21

x = 7

7 three course meals

comment if you need further explanation. I am here to help.

please can you help me?

Answers

Answer:

please can you help me?

5^18

Answer:

[tex]5^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](5^3)^{6}[/tex]

= [tex]5^{3(6)}[/tex]

= [tex]5^{18}[/tex]

Sam wants to fill a rectangular box with sand for his cat. What measure should be use to find out how much sand he needs to fill the box?

O surface area
O volume
O area
O lateral area

Answers

Answer:

volume

Step-by-step explanation:

He wants to FILL the box didn’t say cover it.

HOPE THIS HELPS’

PLZZ MARK BRAINLIEST

Answer:

The other person is correct, it is volume

Step-by-step explanation:

Legit took the test 1 minute ago

A family eats out at a restaurant and the total for their meals is $73.89. They also pay sales tax of 5.8% and leave a tip for their server. If the family leaves a total of $93, which of the following might be a description of the service they received? a. They left a 10% tip, so the service was probably below average. b. They left a 15% tip, so the service was probably average. c. They left a 20% tip, so the service was probably above average. d. They left a 25% tip, so the service was probably outstanding.

Answers

Answer:

C.

Step-by-step explanation:

The sales tax is ≈ 12.74

The total of $93 - (12.74 + 73.89)  = 6.37

$6.37 is approximatley 20%

The description of the service they received is

They left a 20% tip, so the service was probably above average.

What is percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

let the amount of tax be x.

So, 100% of x = 73.89 x 5.8%

x = 428.562/100

x= 4.285

Now, the tip amount would be

= 93 - 73.89 4.28

= $14.83

Now, the amount of tip in percent is

73.89 / 100 = 14.83 / x

x = 14.83 /0.7389

x= 20.07

x= 20%

Learn more about percentage here:

https://brainly.com/question/24191374

#SPJ5

Other Questions
what does my teacher mean by this elaborate after your evidence to connect your thesis Select the correct answer.Nick wants to cultivate some vegetables at his place. However, the soil is unsuitable for growing vegetables. If he has to cultivate vegetableswithout using soll, which technique should he use?O A greenhouseOB. hydroponicsOc vertical farmingOD. kitchen garden How do I write a formal letter to my local government chairman per day on average in front of a screen doing very little to no The average & to 18-year-old spends physical activity. A. O hours B. 30 minutes C. 1 hour D. 3 hours or moreplease hurry I really need the answer DE LA LECTURA DEL PRIMER CAPITULO DEL LIBRO "PIENSE Y HAGASE RICO", APLIQUE LA TECNICA DE LA PREDICCIN PARA OBTENER UNA MEJOR COMPRENSION DE LA LECTURA. Which religious ritual involves a Muslim pilgrimage?A. VaisakhiB. HajjC. EasterD. DiwaliE. Lent Every 15 minutes, a shuttle bus transports 14 people to the airport terminal How many people can the shuttle bus transport in 9 trips to the airport terminal? The value of a boat if depreciating at at a rate of 9% per year. In 2006 the boat was worth $17,800. Find the worth of the boat in 2013. Pick one federal agency discussed in the lecture and describe what it does to promote the general welfare in the United States today. How does Acting as Jesus did" make us authentically free? In Romeo and Juliet whay has Montague been worried about his son, Romeo? Please help!! if you can explain if not that is fine. what 3 things would you bring to a deserted island? Is metal denser than milk? Which statement best describes the role of the vice president in Congress?A: The vice president assigns bills to committees in the House of Representatives.B: The vice president casts tie-breaking votes in the House of Representatives.C: The vice president assigns bills to committees in the Senate.D: The vice president casts tie-breaking votes in the Senate How many games did he win? Help what's the simplified expression? PLEASE HELP MARKING PEOPLE AS BRAINLIST The purpose of cytokinesis is to A:Destroy the parent cell B:Divide the parent cell in two C:Rebel against society D:Create a mutation Johnson wants to load Solver in Microsoft Excel. For this, he clicks the series: File > Options > Add-Ins > Manage Box > X > Go > Add-ins available box > Solver Add-in check box > OK. What can X be in the procedure?A) COM Add-insB) Excel Add-insC) Disabled ItemsD) XML Expansion Packs The following claim is made in an argumentative essay: Algebra should not be required for high school graduation. Which counterclaim would be the most effective? Algebra is not really needed in the real world. Algebra skills are needed for jobs in dozens of high-paying fields. Many think that algebra is a fun subject that students enjoy. My big brother failed algebra and had to go to summer school.