Prove that tan22° + tan23° + tan22°. tan23° = 1 ​

Answers

Answer 1

Answer:

Hope you got it....

Step-by-step explanation:

1=tan45∘

1=tan(22∘+23∘)

1=tan22∘+tan23∘1−tan22∘tan23∘

1−tan22∘tan23∘=tan22∘+tan23∘

1=tan22∘+tan23∘+tan22∘tan23∘

It will be the same for any two angles that add up to 45∘.

Answer 2

Answer:

ooo....

Step-by-step explanation:

22° + 23° = 45°

taking tan on both side

or,tan(22° + 23°)=tan45°

or,(tan22° + tan23°)/(1-tan22°. tan23°)=1

or,tan22° + tan23° =1- tan22°. tan23°

or,tan22° + tan23° + tan22°. tan23° = 1 ​

                            proved


Related Questions

Solve the equation, showing each step of the solution.
1 (x – 10) = -4

Answers

Answer:

x=6

Step-by-step explanation:

x-10=-4      (Distribute)

x=6             (Inverse operations {Add 10 on both sides} )

X=6

The midpoint of AB is M(-6,-4). If the coordinates of A are (-4,-3), what are
the coordinates of B?

Answers

Answer:

(-8,-5)

Step-by-step explanation:

Well, if we divide the square root of M by the hypotenuse due to the activation of the square root of A, then we can achieve the absolute equilibrium between both statements as we bring the oven to about 220 degrees Farenheit, the brownies will look great.

987600000 in the standard form (or scientific notation)

Answers

9.876 × 10^8
Hope this is what you were looking for

Answer:

The standard form of 987600000 is 9.876×10 power 8

Step-by-step explanation:

Please mark my answer as a brainliest .Please follow me ❤❤❤❤

Mia discovered that if she takes half her age and adds 3, it produces the same result as taking one-fourth of her age and adding 7. How old is Mia?​

Answers

Answer:

she would be 16 years old

Step-by-step explanation:

hope this helps!! :D

From the given information we found out that age of Mia is 16 years.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Mia discovered that if she takes half her age and adds 3,

Assuming Mia's age to be x years.

(1/2)x + 3...(i)

It produces the same result as taking one-fourth of her age and adding 7,

(1/4)x + 7...(ii)

So, (1/2)x + 3 = (1/4)x + 7.

(1/2)x - (1/4)x = 7 - 3.

(1/4)x = 4.

x = 4×4/1.

x = 16.

So, Age of Mia is 16 years.

learn more about linear equations here :

https://brainly.com/question/19549073

#SPJ2

Nate made 8 loaves of bread on Monday and 10 more on Tuesday. He gave an equal number to each of his 9 neighbors. How many loaves of bread did each neighbor receive?

Answers

Answer:

2

Step-by-step explanation:

8 + 10 = 18

18/9 = 2

The distance between two train stops is 220 miles. The train traveled at 3/4 mile per minute. How long will it take the train to reach its destination?

Answers

Answer:

4.8 hours

Step-by-step explanation:

Step one:

given data

The total distance= 220 miles

The velocity of the train= 3/4 mile per minute

Required

The time of travel

Step two:

we know that

velocity= distance/time

velocity= 220/3/4

let us multiply the numerator (220) by the inverse of the denominator(4/3)

velocity =220*4/3

velocity= 880/3

velocity= 293.3 minutes

in hours

= 293.3/60

= 4.8 hours

Island Bank is advertising a special 1.55% APR for long term CDs. Manny takes out a one-year CD for $40,000. The interest is compounded daily. Find the annual percentage yield for Manny's account to the nearest hundredth of a percent. Fill in the blank 1

Answers

Answer: 1.55%

Step-by-step explanation:

p = Principal = $40000

r = Interest rate = 1.55% = 0.0155

n = Number of periods = 365

APY = [1 + (r/n)^n - 1]

= [1 + (0.0155/365)^365 - 1]

= [1 + 0.000042)^365 - 1]

= [1.000042]^365 - 1

= 1.015448 - 1

= 1.55%

bla nnn,,,,,,bs jfbjnf msnjkmfe sjnmf cmmnefnmv fcve

Answers

Answer:

Ummmmm ehhhhhh

I need points for a hw

how to graph and solve linear functions

how to solve g(x)=-3x-1

Answers

Answer:

I will explain the equation

in a graph, the slope will look like this

The Y Intercept is -1, and the slope is -3, as in it will go downward

For every 1x, the slope will go downward by 3.

one week ty made (3x + 4) dollars. The following week he made (x + 8) dollars. How much more did he make the first week?

Answers

Answer:

(2x – 4) dollars

Step-by-step explanation:

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

Answers

The correct format of the question is

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. [tex]P = 400 ( 1.2 )^ t[/tex] Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

(A) 291

(B) 691

(C) 1040

(D) 1440

Answer:

The increase in the population at the end of 2009 is 291 people

Step-by-step explanation:

We are given the equation as [tex]P = 400 ( 1.2 )^ t[/tex]

where

P = No of People

t= No of Years

it is given that in the year 2006 the population is 400

this will only happen when we take t= 0

so for

Year    value of t

2006-    t = 0

2007-    t  = 1

2008-    t = 2

2009     t = 3

No of people in 2009 will be

[tex]P = 400(1.2)^3[/tex]

     = 400*1.728

   P  = 691.2

Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691

Increase = P(2009) - P(2006)

               = 691 - 400

                = 291

The increase in the population at the end of 2009 is 291 people.

whats the answer.......................

Answers

Answer:

D

Step-by-step explanation:

Cory is 5 times as far as kira. that makes it 5 times 5. tina is 5 times as far as cory. that makes it 5 times 5 times 5

jeff has 80 toy cars in his car collection. after his birthday jeff has 94 cars. calculate his percent increase

Answers

Answer: 80 - 94

Step-by-step explanation:

Please answer this, I really need help!!!

Answers

Answer:

a. Juan

b. J(t) = A(t) at t = 7 minutes

c. J(t) > A(t) for the interval 0 ≤ t ≤ 7

Step-by-step explanation:

a. From the graph, Juan completes the 4-mile bike race in 13 minutes while Antonio completes the 4-mile bike race in 15 minutes, therefore, Juan completes the distance first and wins the race

b. From the graph, the line of the graph of the functions J(t) and A(t) are equal at the time t = 7 minutes

Therefore;

J(t) = A(t) at t = 7 minutes

c. The value of the function, and the line of the graph of the function, J(t) is larger than and above the value and the line of the graph of the function A(t) for the interval 0 ≤ t ≤ 7

Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)

Answers

Answer:

It is 4x + 12

4x + 12

expand the bracket :
4 * x = 4x
4*3= 12
4x+12

April took out a $600 loan from the bank. At the end of 1 years, she pays back the principal, plus $12 simple interest. What was the interest rate?

Answers

Answer:

The interest rate r = 0.02 or 2%

Step-by-step explanation:

Given

P = $600

I = $12

t = 1 year

To determine

Interest rate = r

Using the formula

I=Prt

r = I / Pt

substituting I = 12, P = 600, t = 1

r = (12) / (600 × 1)

r = 12/600

r = 0.02

Thus, the interest rate r = 0.02 or 2%

There is a patch of lily pads on a lake. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?

Answers

Answer:

47 days

Step-by-step explanation:

Since the patch of pads doubles in size every day, the lake would be half covered just one day before it was covered entirely.

16. 8x5 – 16x4 + 8x3

Answers

Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Once you simplify the equation, you get 40-64+24. When you use 40+24, you get 64 which cancles out the other 64

PLEASE ANSWER! DOING A TEST!

Answers

I think it’s (-3,2) hope it helps

Three bakers can each bake three
cakes in three hours. How many cakes can
8 bakers bake working at the same rate in
20 hours? Use the solve a simpler problem
strategy.

Answers

Answer:

i think its 20 cakes

Step-by-step explanation:

1 cake per hour

A term without a variable is called what?

Answers

Answer:

constants

are the term

Answer:

Constants

Step-by-step explanation:

I hope this is correct and have a great day

answer please !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Answer:

x = 67

Step-by-step explanation:

180 - 113 = 67

Answer:

x=67 degrees

Step-by-step explanation:

113+x=180--->linear pair

x=67--->subtractioin property

a=72, e= 13,m=93 t= 64 then k=?

Answers

The question doesn’t make sense.Was there an equation with this?

full answer hope it helps please like and comment if you have some doubts

Find the area and perimeter of the shape below. Show your work.

Answers

Area= 10.8m Perimeter= 15.6m hope this helps

The football team gained 7 yards in the first play and lost 8 yards in the second play. Did they gain or lose yard? _____ How many? _____

Answers

Answer:

+7 -8 = -1

lost yard

lost yard by 1 yard

Step-by-step explanation:

please answer I will give 20 and brainiest

Answers

Answer:

Option 4

Step-by-step explanation:

Coordinances for a three-dimensional coordinate system are (x, y, z).

The letter labeling each axis is always on the positive side.

The fourth option is correct because you move 3 units away from the 'x', 1 unit away from the 'y', then 2 units toward the 'z'.

plz help me i will give you 50 points

Answers

Answer: 36

Step-by-step explanation:

First one

Answer:

see below

Step-by-step explanation:

36.196

tens ones. tenths  hundredths thousandths

The greatest places is the tens place.  We look one place to the right to the ones place.  The number in the ones place is 5 or greater so the tens place goes up one place and the ones place becomes a zero

40

which equation represents a line that is perpendicular to line FG​

Answers

Note: You missed to add some basic information of the perpendicular line or missed the answer options, hence I am solving using a sample equation but it would clear your concept.

Answer:

Please check the attached graph.

Step-by-step explanation:

We know the slope-intercept form of line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the points

F(1, 8)G(-3, -4)

Finding the slope between F(1, 8) and G(-3, -4)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-4\right)[/tex]

[tex]m=\frac{-4-8}{-3-1}[/tex]

[tex]m=3[/tex]

Thus, the slope of the line FG = m = 3

From the given line, we can also determine the y-intercept 'b' by setting x = 0 and checking the corresponding y value.

i.e. at x = 0, y = 5

Thus, y-intercept b = 5

so substituting m = 3 and b = 5 in the slope-intercept form

y = mx+b

y = 3x+5

Therefore, the equation of line FG will be:

y = 3x+5

Please check the attached diagram, where the red line represents the line y=3x+5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Slope of Perpendicular line = -1/m = -1/3

Thus, any line with the slope m = -1/3 would be the line that will be perpendicular to line FG​

Let say the line with the slope m = -1/3 and y-intercept 2

y = -1/3x + 5

Please check the attached graph, the blue line is representing the perpendicular line y =  -1/3x + 5 to line FG

The graph of both lines is clearly representing that the line y = -1/3x + 5 is perpendicular to line FG.

Answer:

Step-by-step explanation:

25 points:
PLEASE HELP ASAP!!

Answers

S= (0,0) T=(30,30)
(0+30) / 2 = 15
(0+30) / 2 = 15
(15,15)

BRAINLY AND 20 PTS TO WHOEVER GETS IT RIGHT

Answers

Answer:

The first one

Step-by-step explanation:

Credit report does NOT state whether borrower will pay loan on time ...though it may give an INDICATION of this

Other Questions
How do you say "ive fallen and i cant get up" in french cause u know you gotta have those memes Solve h-7 3/4 - h = 18 1/2 I NEED HELP ASAP AND I WILL ALSO MAKE YOU BRAINLY. i just need the correct answer quickly Which two statements from the passage are true regarding thecharacters of Young Goodman Brown and Faith?A) Faith is feeling unsettled.B)Faith is unhappy with Brown.C)Faith is supportive of Brown.D)Faith is disapproving of Brown.E)Faith wishes Brown ill on his journey An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each one working alone to do the job In your journal write a short response concerning how to cope with a "mean kld." Include personal experiences. Howdoes your method compare with Amy's? What advice would you give Amy? Your response should be 50-100 wordslong. What is 116.52 plus 8% as tax Why do helium balloons pop in a hot car? The sociometric/peer acceptance category of _________ relates to children who are noticed by peers and are liked by a quite a few children and disliked by quite a few others. x2 - 8x + 14 = 2x - 7 Plss help with this question!!! PLEASE HELP PLEASE PLEASE from Little Womenby Louisa May AlcottWhile their father is serving in the Civil War, Meg, Jo, Beth, and Amy help their mother, Marmee, carry on with their daily lives. The family makes do with what little money they have. Then a telegram arrives. Father is ill, and Marmee needs to go to Washington.1 How still the room was as they listened breathlessly and how suddenly the whole world seemed to change, as the girls gathered about their mother, feeling as if all the happiness and support of their lives was about to be taken from them.2 Mrs. March read the message over, and stretched out her arms to her daughters, saying, in a tone they never forgot, I shall go at once, but it may be too late. Oh, children, children, help me to bear it!3 For several minutes there was nothing but the sound of sobbing in the room, mingled with broken words of comfort, tender assurances of help, and hopeful whispers that died away in tears. Poor Hannah, their servant, was the first to recover, and with unconscious wisdom she set all the rest a good example . . . .4 I wont waste no time a-cryin, but git your things ready right away, mum, she said heartily, as she wiped her face on her apron . . . .5 Shes right, theres no time for tears now. Be calm, girls, and let me think.6 They tried to be calm, poor things, as their mother sat up, looking pale but steady, and put away her grief to think and plan for them.7 Wheres Laurie? she asked presently, when she had collected her thoughts and decided on the first duties to be done.8 Here, maam. Oh, let me do something! cried the neighbor boy, hurrying from the next room . . . .9 Send a telegram saying I will come at once. The next train goes early in the morning. Ill take that.10 What else? The horses are ready. I can go anywhere, do anything, he said, looking ready to fly to the ends of the earth.11 Leave a note at Aunt Marchs. Jo, give me that pen and paper.12 Jo drew the table before her mother, well knowing that money for the long, sad journey must be borrowed, and feeling as if she could do anything to add a little to the sum for her father.13 Jo, run to the rooms, and tell Mrs. King that I cant come. On the way get these things I must goprepared for nursing. Hospital stores are not always good Father shall have the best of everything. Amy,tell Hannah to get down the black trunk, and Meg, come and help me find my things, for Im half bewildered.The family rush off to help Marmee prepare. Beth runs to ask their neighbor, Mr. Laurence, for help. To the relief of the girls, he also makes plans to have his grandsons tutor escort Marmee to Washington.14 Everything was arranged by the time Laurie returned with a note from Aunt March, enclosing the desired sum, and a few lines repeating . . . that she had always told them it was absurd for March to go into the army, always predicted that no good would come of it, and she hoped they would take her advice the next time. Mrs. March put the note in the fire, the money in her purse, and went on with her preparations . . . .15 Jo came walking in with a very queer expression of countenance, for there was a mixture of fun and fear, satisfaction and regret in it, which puzzled the family as much as did the roll of bills she laid before her mother, saying with a little choke in her voice, Thats my contribution toward making Father comfortable and bringing him home!16 My dear, where did you get it? Twenty-five dollars! Jo, I hope you havent done anything rash?17 No, its mine honestly. I didnt beg, borrow, or steal it. I earned it, and I dont think youll blame me, for I only sold what was my own.18 As she spoke, Jo took off her bonnet, and a general outcry arose, for all her abundant hair was cut short.19 Your hair! Your beautiful hair! Oh, Jo, how could you? Your one beauty. My dear girl, there was no need of this. She doesnt look like my Jo any more, but I love her dearly for it!20 As everyone exclaimed, and Beth hugged the cropped head tenderly, Jo assumed an indifferent air, which did not deceive anyone a particle, and said, rumpling up the brown bush and trying to look as if she liked it, It doesnt affect the fate of the nation, so dont wail, Beth. It will be good for my vanity, I was getting too proud of my wig. It will do my brains good to have that mop taken off. My head feels deliciously light and cool, and the barber said I could soon have a curly crop, which will be boyish, becoming, and easy to keep in order. Im satisfied, so please take the money and lets have supper.Question 1 (1 point)What is an important theme of the story? aIn times of trouble, family and good friends support each other. bMisfortune can overwhelm even the strongest people. cVanity and selfishness are stronger than generosity and kindness. dThe best way to deal with grief is to distract yourself with other tasks. What is the area of the following figure? PLEASE HELP Answer the question below about the objects in the illustration. compose complete SENTENCES and note the hints in parentheses.11. O est la pomme?(...on the...)12. O la chaise? (...behind the...)13. O est le bureau?(...in front of the...) Chemical reactions and nuclear reactions cause matter to change in differentways. Which two statements describe how matter changes only in a chemicalreaction?A. The nuclei of the atoms change.B. Atoms and their electrons are rearranged.O C. New atoms and elements are formed.D. The elements stay the same. what is the value of q 23. If a jogger runs 100 meters west and then turns around and runs 30 meters east. Whatwas the jogger's displacement?a. 70 meters.b. 130 meters.C. 30 meters.d. 100 meters. Which word best describes the Pilgrims? Which equation matches the graph?In the xy graph, the range of the x axis is zero to four by increment of one. The range of y axis is zero to eight by increment of one. On both axes every alternate tick mark is labeled. On the graph, there is a line passing through the points (2, 2) and (0, 8). PLEASE HELP ASAP BRAINLIEST IF CORRECTWhich part of a scientific argument must be supported by valid data?A: claimB: evidenceC: reasoningD: theory