Solve the equation sin^2x=3Cos^2X.

I would love to graduate...so thanks in advance!

Solve The Equation Sin^2x=3Cos^2X.I Would Love To Graduate...so Thanks In Advance!

Answers

Answer 1

Answer:

240°

Step-by-step explanation:

[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]


Related Questions

Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)

Answers

Answer :$50 is the simple InterestExplaination :

Here we have been clearly given with Principal, time period and rate of interest.

Principal (P) = $125Rate (R) = 10%Time (T) = 4 years

We have to calculate the simple Interest.

As we know that simple Interest is calculated by the formula :

[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]

Where,

S.I. is simple Interest R is rate of interest T is time

Putting the values :

[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]

Visit more :

https://brainly.com/question/26734922

Kira runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes.

Answers

Answer:

2.8 miles

Step-by-step explanation:

brian runs 7 miles in 60 minutes at the same rate how many miles would he run in 24 minutes?

(24/60)*7=2.8 miles

the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?​

Answers

Answer:

5x -  North American Butterflies.

3x - South American Butterflies.

5x = 30 (Divide By 5).

x = 6.

3x = 18.

3x - South American Butterflies.

2x - European Butterflies.

2x = 2 * 6 = 12

There Are 12 European Butterflies And 18 South American Butterflies.

Step-by-step explanation:

Pls help need this for my finalWhat is the value of x in the isosceles trapezoid below?
A. 13
B. 26
2
A
C. 11
D. 22

Answers

Answer:

A) 13!

Step-by-step explanation:

Just answered the question!

Answer:

13

Step-by-step explanation:

You created new playlist, and 100 oi your friends listened to it and shared if they liked the new playlist or nat. Nadhii said the ratio of the number of people who liked the playlist ta the number of people who did nat like the playlist is 75:25. Dylan said that three people who liked the playlist, one person did not. Nadhii and Dylan agree? Prove your answer using the values of the ratios.

Answers

Answer:

Yes, Nadhii and Dylan agree

Step-by-step explanation:

You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.

Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.

Total number of friends who listened = 100

Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.

Nadhii

Number of people who liked the playlist : Number of people who did not like the playlist

= 75 : 25

= 75 / 25

= 3/1

= 3 : 1

Dylan said that three people who liked the playlist, one person did not.

Number of people who liked the playlist : Number of people who did not like the playlist

= 3 : 1

Yes, Nadhii and Dylan agree

4 3/7 - 2 5/14 Can someone Please Please help me??

Answers

Answer:

29 over 14

Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.

Answers

Answer: There are 57 quarters and 33 dimes.

Step-by-step explanation:

let x = Number of quarters

y= Number of dimes

As per given , we have

x+y = 90  (i)

0.25x+0.10y= 17.55  (ii)

Multiply 10 on both sides of (ii)

2.5x+y= 175.5    (iii)

Eliminate (i) from (iii) , we get

1.5x = 85.5

⇒ x= 57

Put value of x in (i) , we get

57+y=90

⇒  y= 90-57

⇒  y= 33

Hence, there are 57 quarters and 33 dimes.

somebody help me answer these ik I'm not the smartest​

Answers

Answer:

1. 3/5

2. 70/9

3. 12 3/5

Step-by-step explanation:

hope it helps

Answer:

reduce 18/30

divide both numerator and denominator by 6

3/5

change to improper 7 7/9

multiply 7*9=63

63+7=70

70/9

Change to mixed number 63/5

63/5=12 remainder 3

12 3/5

33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))

Answers

Given:

[tex]d(t)=80t[/tex]

[tex]C(d)=0.09d[/tex]

To find:

The value of [tex]C(d(10))[/tex].

Solution:

We have,

[tex]C(d(10))=C(80(10))[/tex]           [tex][\because d(t)=80t][/tex]

[tex]C(d(10))=C(800)[/tex]

Now,

[tex]C(d(10))=0.09(800)[/tex]           [tex][\because C(d)=0.09d][/tex]

[tex]C(d(10))=72[/tex]

Therefore, the value of [tex]C(d(10))[/tex] is 72.

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential growth function. ​b) Estimate the population of the city in 2018. ​c) When will the population of the city be ​8 million? ​d) Find the doubling time. ​a) The exponential growth function is ​P(t) nothing​, where t is in terms of the number of years since 2012 and​ P(t) is the population in millions. ​(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the​ equation.)

Answers

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?

Answers

Answer: No. The two frames does not have the same ratio of white shells to orange shells.

Step-by-step explanation:

Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:

9/15 = 3/5

The ratio is 3:5

Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:

= 8/10 = 4/5

The ratio will be 4:5.

Therefore, the two frames does not have the same ratio of white shells to orange shells.

Camilla baked 15 cookies with 3 scoops of flour. How many scoops of flour does Camilla need in order to bake 20 cookies? Solve using unit rates.

Answers

Answer:

camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies

Does someone knows how to solve this. Step by step?

Completing the Square:

x^2-6x=15​

Answers

Answer:

[tex]x_1=3+2\sqrt{6}[/tex]

[tex]x_2=3-2\sqrt{6}[/tex]

Step-by-step explanation

[tex]\rule{100mm}{0.5mm}[/tex]

                           [tex]x^2-6x=15[/tex]

[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]

                   [tex]x^2-6x+3^2=15+3^2[/tex]

                     [tex]x^2-6x+9=15+9[/tex]

                          [tex](x-3)^2=24[/tex]

                       [tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]

                              [tex]x-3=\pm2\sqrt{6}[/tex]

                                  [tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]

                                  [tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]                                

[tex]\rule {100mm}{0.5mm}[/tex]

What is the equation of the line that passes through the point (4, 3) and has a slope
of 1?

Answers

Answer:

y=x-1

Step-by-step explanation:

Answer:

y=x1

Step-by-step explanation:

Quadrilateral VWXY is a kite. Find the measure of angle W.

Answers

Answer:

88

Step-by-step explanation:

all the angles added up must equal 360 degrees add x and v and subtract with 360 and divide that by 2

For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work

Answers

Answer:

$850

Step-by-step explanation:

35 x 20 = 700 + 150 = $850 or 850

$20 per person and 35 people = $700 + the $150 fee = $850

Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)

Answers

Answer:  $1067.45

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

Work Shown:

L = 165000 = loan amount or amount financed

r = 0.06725  = annual interest rate in decimal form

i = r/12 = 0.06725/12 = 0.005604167

i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

P = unknown monthly payment

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

Apply the monthly payment formula

P = (L*i)/( 1-(1+i)^(-n) )

P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))

P = 1067.44636311118

P = 1067.45

0.000603 in scientific notation

Answers

6.03 x 10^-4 That is 6.03 times 10 to the negative 4 power.

How many solutions does this nonlinear system of equaTions have?

Answers

Answer:

There are five possible types of solutions to the system of nonlinear equations representing an ellipse and a circle

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

Step-by-step explanation:

Depends on how many points on the graph

Evaluate
15/r when r=5

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{15}{r} =\frac{15}{5}=3[/tex]

Factor the polynomials x^2 + 15x + 56

Answers

Final Answer: [tex](x + 7)(x + 8)[/tex]

Steps/Reasons/Explanation:

Question/Given: Factor the polynomials [tex]x^{2} + 15x + 56[/tex]

Step 1: Ask: Which two numbers add up to [tex]15[/tex] and multiply to [tex]56[/tex]?

[tex]7[/tex] and [tex]8[/tex]

Step 2: Rewrite the expression using Step 1.

[tex](x + 7)(x + 8)[/tex]

~I hope I helped you :)~

Tinky Winky is 2 years younger than Laa Laa. If the product of Tinky's and Laa Laa's ages is equal to 1 less than 5 times the sum of their ages, how old is Tinky?

Answers

Answer:

Solution:-

Let

Tinky's age=x

Laa's age=x+2

According to the question

[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]

[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]

Which of the following equations represent linear functions?
The picture will be shown

Answers

B; because it needs to start with y=

MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.

Answers

Answer:

16)

Bobby - 70

Hannah - 90 (Wins the round)

Carlos - 80

17)

Bobby - 7  (Wins the round)

Hannah - 3

Carlos - 5

Step-by-step explanation:

First we can make the variable n into each of the values they chose for the equations. Let's start with 16.

The equation is - (3+7) X (10 - n ÷2)

Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.

USE PEMDAS!!!

16)

Bobby -

1. (3+7) X (10 - 6 ÷2)

2. 10 X (10 - 6 ÷ 2)

3. 10 X 7

4.  Answer for Bobby - 70

Hannah -

1.  (3+7) X (10 - 2 ÷2)

2. 10 X (10- 2 ÷2)

3. 10 X 9

4. Answer for Hannah - 90 (Wins the round)

Carlos -

1. (3+7) X (10 - 4 ÷2)

2. 10 X (10 - 4 ÷ 2)

3. 10 X 8

4. Answer for Carlos - 80

17)

Bobby -

1. (2 X 6 + 2) ÷ 2

2. (12 + 2) ÷ 2

3. 14 ÷ 2

4. Answer for Bobby - 7 (Wins the round)

Hannah -

1.  (2 X 2 + 2) ÷ 2

2. (4+2) ÷ 2

3. 6 ÷ 2

4. Answer for Hannah - 3

Carlos -

1. (2 X 4 + 2) ÷ 2

2. (8+2) ÷ 2

3. 10 ÷ 2

4. Answer for Carlos - 5

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!!!

Plz answer these 2 I’ll mark brainliest

Answers

Answer:

16. C

17. B

sorry if i got it wrong

Answer:

THE ANSWER

A

B

Step-by-step explanation:

MARK BRAINLIEST

The average person laughs 15 times per day.

Answers

really? i didn’t know.
Gosh I need to start laughing more then

Name the angle in (4) different ways.

Answers

Answer:

um in languages or different angles

Step-by-step explanation:

what is the sum of ​

Answers

Answer:

C

Step-by-step explanation:

PLEASE HELP ME I DONT UNDERSTAND

Answers

Answer:

[tex]d=4\sqrt{5}[/tex]

Step-by-step explanation:

Write down both endpoint coordinate points:

[tex](-5,-3)(-1,5)[/tex]

Use the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]

Insert values:

[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]

Simplify parentheses:

[tex]d=\sqrt{(4)^2+(8)^2}[/tex]

Simplify exponents:

[tex]d=\sqrt{16+64}[/tex]

Add:

[tex]d=\sqrt{80}[/tex]

Find the square root. Find multiples of 80 that are perfect squares:

[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]

[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]

:Done

Write a word description of the set.
{−6, −5, −4, −3, −2, −1}

Answers

The numbers in the brackets shown are from least to greatest. Negative six (being the lowest), negative five, negative four, negative three, negative two, negative one(being the greatest).
Hope this helps!
Other Questions
Find the new amount given the original amount and the percent of change. $5; 40% increase The new amount is $ The words and actions of Lemon Brown in "The Treasure of Lemon Brown'" makes him seem like?O Greg's teacher.O a real person.O Greg's father.O a mythical character. please urgent please beg . Why are organizations like the Center for Tobacco Use using interactive media like One Leaves to help spread their anti-smoking message? Interactive media uses more of the audience's brainpower, so they are more vulnerable to influence. Interactive media forces the audience to make choices that will be reflected in their real lives. Interactive media is the only product that audiences will pay attention to in the Information Age. Interactive media involves audience participation in a way that strengthens emotional impact. A train travels with a speed of 115km/hr. How much time does it take to cover a distance of 470km. How are birds different from reptiles?a.they are endothermicb.they are heterotrophicc.they have a backboned.they breathe with lungs Rewrite the sentence to fix the misplaced modifier. The authors say that kids can change the world by changing their eating habits in their book. Please help!!!!! Which of the following is NOT an organizational strategy of Informational Writing?A.Compare and ContrastB.Problem and SolutionC.Cause and EffectD.Order of Importance Which equation can be used to represent the distance D for the times t given in the table? Steel is an alloy of iron and carbon (98% iron, 2% carbon). Stainless steel is steel and chromium, (90% steel, 10% carbon). What amount of iron, carbon, and chromium are needed for 500 kg of stainless steel? Find the value of x. Several objects were dropped from a balcony. Using the data below, determine which statements must be true regarding the rate of force of each falling object. Neglect (ignore) air resistance.ObjectMassDiameterHeight of dropTennis Ball0.06 kg6.6 cm5 mBaseball0.15 kg74 cm5 mBowling Ball5 kg21 cm5 mGolf Ball0.04 kg4.3 cm5 mStatement 1: All balls hit the ground at the same timeStatement 2: All balls hit the ground with different forcesStatement 3: The bowling ball hit the ground first and the tennis and golf ball hit the ground last Statement 4: It is not possible to tell how much force each ball hit the ground with Nora makes the decision to leave her family. What is this an example of?A - Challenging a social norm of the timeB - Creating a social norm of the timeC - Changing a social norm of the time D - Reflecting a social norm of the time Solve for x given the lines are parallel.(7x - 8)62 The conception phase of the product life cycle could be described as dealing withideasmanufacturingdistributionimprovement 15PTS PLEASE HELP ASAP!(dont write random answers pls)look at the pic attached: Which contemporary artist uses computer programs such as Maya to create 2-D and 3-D digital art?A. Brian McSweenyB. Frank O. GehryC. Judy Pfaff The first wars of religion took place in which country?A. GermanyB. SpainC. EnglandD. France Which phrase completes this list? federalists favored: a strong central government giving the federal government the power to tax No bill of rights a. Outlawing slavery b. The constitution as written c. States having the most power d. Not allowing new states to be added to the union PART A: Which of the following identifies the central idea of the text?A. The Civil Rights Act of 1964 was notable for being the first major government action taken to address discrimination on the basis of race.B. While state governments were overwhelmingly supportive of the Civil Rights Act of 1964, the federal government continued to obstruct the progress of any legislation.C. The Civil Rights Act of 1964 successfully ended racial discrimination, but people continued to experience discrimination based on other identifying traits.D. The important protections promised by Civil Rights Act of 1964 were the result of significant activism by advocates, as well as the leadership of elected officials.Commonlit: The Civil Rights Act of 1964