Prove that
sin 75-sin 15=cos 105+cos 15​

Answers

Answer 1

Answer:

 

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer 2

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105


Related Questions

A basket of fruit contains 6 apples, 5 oranges, 3 bananas, and 2 limes.Which of the following statements about the fruits in the basket are true?Select the two correct statements.

Answers

Answer:

[tex]6 + 5 = 11 + 3 = 14 + 2 = 16[/tex]

[tex]6 \div 5 \div 3 \div 2 = 0.2[/tex]

[tex] 6 \times 5 \times 3 \times 2 = 180[/tex]

Step-by-step explanation:

If its addition add them, multiplication multiply them, division divided them.

Answer:

Step-by-step explanation:

i need help sorry no answer got u

Find the value of x. Round to the nearest degree.

Answers

Ok done. Thank to me :>

A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.

Answers

Answer:

ok first we round them both

386230 is rounded to 386k

59250 is rounded to 59 k

386+59=445

445,000

Hope This Helps!!!

A rectangular garden is 24 feet wide. Its length is 5 feet more than twice the width. What is the area of the garden?

Answers

Answer:

1272 feet²

Step-by-step explanation:

Breadth (Width) =  24 feet

Length = (24 × 2) + 5

            = 48 + 5

            = 53 feet

Area = Length × Breadth

Area = 53 × 24

        = 1272 feet²

Find sin(a-B), if cosa=1/3, cosB=1/4, a=(0;180), B(-90;0)

Answers

Give me some hint please

the IQR of the box plot is...

Answers

Answer:

IQR = 3

Step-by-step explanation:

Subtract your Q1 and Q3.

Q1 = 3

Q3 = 6

can anyone help me please? i have 14 more minutes to finish this can anyone help?

Answers

Answer:

B

Step-by-step explanation:

A is 3-2 which is 1, not 5.

C is 3(2), which is 6, not 5.

D is 6, which is not 5.

-hope it helps

Answer:

B

Step-by-step explanation:

Check all that apply. If csc=13/12 then:
A. sec =12/13
B. COS =12/13
C. tan =12/5
D. sin =12/13

Answers

Answer:

A. sec =12/13×

B. COS =12/13×

C. tan =12/5✓

D. sin =12/13 ✓

Step-by-step explanation:

we know,

using Pythagoras formula,

p=12,h=13 ,b=?

h^2 =p^2 +b^2

b=5

so tan = p/b

=12/5

sin=p/h and cosec= h/p

D. sin =12/13

The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.

Answers

The expression that can be used to find the

garden's length is l = 5x(x - 7) / 5x where l = (x - 7)

Given:

Area of a rectangle = 15x² - 35x

Width of the rectangle = 5x

Length of the rectangle = l

Area of the rectangle = length × width

15x² - 35x = l * 5x

Factor out the left hand side

5x(x - 7) = l * 5x

Divide both sides by 5x

5x(x - 7) / 5x = l

x - 7 = l

Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x

Learn more about area of a rectangle:

https://brainly.com/question/14137384

subtract 19/12 - 3/4

Answers

◇Answer :

[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]

Answer:

[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]

Step-by-step explanation:

[tex] \frac{19}{12} - \frac{3}{4} [/tex]

[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]

[tex] = \frac{76}{48} - \frac{36}{48} [/tex]

[tex] = \frac{76 - 36}{48}[/tex]

[tex]= \frac{40}{48} [/tex]

[tex] = \frac{40 \div 8}{48 \div 8} [/tex]

[tex] = \frac{5}{6}[/tex]

(4 − 3)(−3 + 6) − (2 − )
simplify
show all work

Answers

Answer:

(4 − 3)(−3 + 6) − (2 )

1(3)-2

3-2

1

Hope This Helps!!!

n is m% of what? please help its hard.

Answers

Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.

Step-by-step explanation:


What is the formula for calculating momentum?

Answers

Answer:

 (c)  p = vm

Step-by-step explanation:

Momentum, represented by 'p', is the product of mass and velocity. It is a vector quantity, just as velocity is a vector quantity.

  p = vm

which relation is a function?​ PLEASE HELPPPPP

Answers

Step-by-step explanation:

in the first

x =2y

actually I don't think that I can get the last two relations

A computer can do 1000 operations in 4.5×10^-6 seconds. How many operations can be done by this computer in one hour?

Answers

Answer:

0.00027.

Step-by-step explanation:

All you have to do is do the scientific notation then multiply by 60.

What number is 22.5% of 40?

Answers

Answer:

9

Step-by-step explanation:

To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.

22.5% --- 0.225

Then multiply the decimal by the number.

0.225 * 40 = 9

So, 22.5% of 40 is 9

Question: What is 40 percent of 22.5?

Answer: Nine






B.match illustrate by using rectangular regions then solve

C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence


WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT

also theres a picture above

(WITH STEP BY STEP EXPLANATION )​

Answers

Fractions can be represented by shading parts of a rectangular region

The simplified expressions are:

[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Complete number sentence

To start with, we simplify the fraction expressions as follows:

(1) [tex]\frac 28 + \frac 24 =[/tex]

Take LCM

[tex]\frac 28 + \frac 24 = \frac{2 + 4}8[/tex]

[tex]\frac 28 + \frac 24 = \frac{6}8[/tex]

Simplify

[tex]\frac 28 + \frac 24 = \frac 34[/tex]

(2) [tex]\frac 9{10} - \frac 35 =[/tex]

Take LCM

[tex]\frac 9{10} - \frac 35 =\frac{9 - 6}{10}[/tex]

[tex]\frac 9{10} - \frac 35 =\frac{4}{10}[/tex]

Simplify

[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex]

(3) [tex]\frac 46 - [\ ]=\frac{2}{6}[/tex]

Replace the blank with x

[tex]\frac 46 -x=\frac{2}{6}[/tex]

Collect like terms

[tex]x = \frac 46 -\frac{2}{6}[/tex]

Take LCM

[tex]x = \frac{4 - 2}{6}[/tex]

[tex]x = \frac{2}{6}[/tex]

Simplify

[tex]x = \frac{1}{3}[/tex]

(4) [tex]\frac{}{12} + \frac 26 = \frac{2}{12}[/tex]

Replace the blank with x

[tex]\frac{x}{12} + \frac 26 = \frac{2}{12}[/tex]

Collect like terms

[tex]\frac{x}{12} = \frac{2}{12} -\frac 26[/tex]

Take LCM

[tex]\frac{x}{12} = \frac{2 - 4}{12}[/tex]

[tex]\frac{x}{12} = -\frac{2}{12}[/tex]

Multiply both sides by 12

[tex]x=-2[/tex]

(5) [tex]\frac{9}{18} - \frac{3}{9}[/tex]

Take LCM

[tex]\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}[/tex]

[tex]\frac{9}{18} - \frac{3}{9} = \frac{3}{18}[/tex]

Reduce fraction

[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Missing fractions

So, the simplified expressions that contain the missing fractions are:

[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Shaded regions

See attachment for the shaded regions

Read more about fractions at:

https://brainly.com/question/5243429

Given -3, -2,0,3,7 .... Find the next term

Answers

Answer:

12

Step-by-step explanation:

A rectangular garden is 24 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?

Answers

Answer:

1248

Step-by-step explanation:

w = 24feet

L=2w+4feet that means L= 2*24+4 =52

aera is 24*52=1248

A music streaming service conducted a survey asking subscribers where they most often listen to music. Of the 2,500 responses, 1,468 users stated that they most often listen to music while in vehicles.


Use this information to complete the statement. Round all answers to the nearest hundredth.


The approximate sample proportion is ___, which means that ___% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

Answers

Answer:

0.59 and 41%

Step-by-step explanation:

Plato/Edmentum

The approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

For this situation, the number of positive responses is 1486 out of a total sample size of 2500.

Substitute these values into the formula for sample proportion, where x is the number of positive responses and n is the sample size.

[tex]\hat p = \frac{x}{n}[/tex]

= [tex]\frac{1468}{2500}[/tex]

= 0.59

So, the approximate sample proportion is 0.59.

Since 0.59 represents the proportion who responded favorably, 1-0.59=0.41, represents the proportion which responded unfavorably.

This value of the same as 41%.

So, 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

Therefore, the approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.

Learn more about the sample proportion here:

https://brainly.com/question/33593792.

#SPJ4

Nelson and Jamie both want to buy a $250 bicycle.
Nelson has saved $136 and Jamie has saved $142. How much
more money do they each need to save?

Answers

Nelson needs to save $114 and Jamie needs $108.
Question:-

Nelson and Jamie both want to buy a $250 bicycle. Nelson has saved $136 and Jamie has saved $142. How much more money do they each need to save?

Answer:-

Given,

Price of the bicycle = $250

Money saved by Nelson = $136

Money saved by Jamie = $142

Now,

Nelson = $250 - $136 = $114

Jamie = $250 - $142 = $108

Nelson needs to save $114

Jamie needs to save $108

If x + 2 and x - 3 are factors of the following polynomial, then find the values of a and b. F(x) = x^2 + ax^2- 7x + b

Answers

[tex]\text{Given that,}\\\\f(x) = x^3+ax^2-7x+b \\\\\text{Since}~ (x+2)~ \text{and}~ (x-3)~ \text{are factors of f(x),}\\\\f(-2) = 0 ~ \text{and}~ f(3)=0\\\\\\ \text{Now,}\\\\f(-2)=0\\\\\ \implies (-2)^3+a(-2)^2-7(-2)+b =0\\\\\implies -8 +4a +14+b =0\\\\\implies 4a +b +6 =0~~~....(i)\\\\\\f(3) = 0\\\\\implies 3^3+a(3^2) -7(3) +b =0\\\\\implies 27 +9a -21 +b =0\\\\\implies 9a +b +6 =0~~....(ii)\\\\\\(ii)-(i):\\\\9a+b+6 - 4a-b - 6 = 0\\\\\implies 5a =0\\\\\implies a = 0\\[/tex]

[tex]\text{Substitute a=0 in equation (i):}\\\\4(0) +b +6 =0\\\\\implies b+6 =0\\\\\implies b =-6\\\\\text{Hence, a = 0 and}~ b =-6[/tex]

Hey! I really need help with this question:

Giving out brainiest to best answer and 100 points. <3

Please help.

Question: How do I memorize words faster and better? And- how do I study faster and quicker?

Answers

Answer:

Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.

Hope this helps!

The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.

The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.

After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.

Answers

Answer:

43.86

Step-by-step explanation:

that's da awnserrr

A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each package of stationery. The selling price is $6.50 per package. How many packages of stationery must be produced and sold each week for the company to generate a profit?

The company will generate a profit if;
more than or equal to
more than
less than or equal to
less than
|blank|packages of stationery are produced and sold each week.

(sorry forgot to add that part in last question, hope this one is better)


Answers

Answer:

  more than 1100

Step-by-step explanation:

The contribution margin for each package sold is ...

  $6.50 -3.00 = $3.50

The number of packages that must be sold to cover fixed costs is ...

  3.50n > 3850

  n > 1100 . . . . . . . divide by 3.50

The company will generate a profit if more than 1100 packages are produced and sold each week.

_____

Additional comment

If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.

Which number comes next in the series? 7, 10, 10, 13, 16, 16,

Answers

19 comes next in the series, followed by two 21s.

Answer:

19

Step-by-step explanation:

In the first number, they add three and that number is repeated.

To further explain, the series would continue like this:

7, 10, 10, 13, 16, 16, 19, 22, 22...

Hope this helps! Brainliest would be appreciated!

Can y’all please help me with these questions

Answers

Answer:

13. STR

14. VY

Step-by-step explanation:

I hope this helps!

Help help math math math

Answers

Answer:

400

Step-by-step explanation:

10 movies * 5 drinks * 8 candy = 400 ways different ways to choose

Answer:

400

Step-by-step explanation:

-1083 +(-3974) what is ans

Answers

Answer: -5057 if im wrong let me know

Answer:

-5057

Step-by-step explanation:

Simplify the expression:

-1083 + 3974

-1083 - 3974

-5057

For a project in her Geometry class, Makayla uses a mirror on the ground to measure the height of her school building. She walks a distance of 13.75 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.2 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.35 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

Answers

Answer: The answer is 19.04 meters.

Explanation: The explanation is in the image.

Other Questions
can anyone pls help? A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ? Which person was a citizen who could participate in Athenian democracy? True or False. What makes faith genuine is its object. Read the following summary of Mathematician Katherine Johnson at Work.Katherine Johnson joined NACA in 1953 as part of a team of African American women who were trained as mathematical researchers. From the beginning, Katherine stood out as a strong leader who was eager to learn. She was also an expert at math calculations and was moved from the research team to work with engineers on flight projects. When the U.S. decided to invest in space exploration, NACA became NASA and Katherine was an important part of the programs success. She worked on several early space missions, including the first flight to the moon. Later, she contributed to projects like the space shuttle program.Which key detail should be included to complete the most effective summary?Katherine contributed more to the U.S. space program than any other individual who worked for NASA.After 1962, Katherine spent time with young people helping them find careers in science or technology.Katherine made sure that computer calculations were correct and solved many problems by approaching them differently from the engineers she worked with.Katherine worked for NASA for more than thirty years and, in 2015, she received the Presidential Medal of Freedom in honor of her service and contributions. Solve and check answer 3(4-5x)=3(4x+3) HEELLPPPP All of the following are ways that carbon dioxide can be transported in the blood except forB. dissolved in the plasmaC. as a molecule of ferretinA. carbaminohemoglobinD. bicarbonate ions Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly ! What is a bond and how do you make money from it? How does seeing the opportunity cost of small daily spending choices change your view of your own spending habits? Xavier created a scatterplot and a trend line for data that he collected by comparing the number of minutes he spent playing a game and the number of levels he passed. Video game a graph has minutes played on the x-axis and levels passed on the y-axis. A line goes through points (10, 4) and (30, 14). According to the graph, which combination of minutes played and levels passed seem most likely to be possible? 2 minutes played and 3 levels passed 17 minutes played and 35 levels passed 20 minutes played and 9 levels passed 50 minutes played and 19 levels passed. I need some help on this asap111111111 A line with a slope of 2 passes through the point (3,9).Write an equation for this line in point-slope form. 5/12 of the pupils in yr9 say their favourite colour is red. There are 180 pupils in yr9. How many students said red is their favourite colour? anything that has mass and occupies space is called You sell used cars. The best car on your lot has 100,000 miles on it. How could you describe this car to a prospective buyer to make the purchase more attractive how do you find the current economic plan of nepal in what ways did "On the moral and political principles of domestic policy" support the basic enlightenment principles Need to review this problem for finals help pls help me with this question plz with an explanation