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) x+(3x÷2y)
b) (b⁹)²×b⁵÷b¹¹=
c) (4²)⁶×4⁷÷4¹⁶=​

Answers

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

Which choice is equivalent to the product below?
V8,5
O A. 4/10
O B. 10-12
C. 13
O D. 22/10

Answers

Answer:

Option D

2√10

Step-by-step explanation:

√8 • √5 = √8 × 5 = √40 = 210

Thus, √8 • √5 = 2√10

-TheUnknownScientist 72

what is the anser to 9 + 7

Answers

Th answer to this question is 16

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]9 \: + \: 7 \: = \boxed{16}[/tex]

USE CALCULATOR...

[tex]#CARRYONLEARNING[/tex]

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Mr. Stansbury went grocery shopping on Tuesday and bought 4 pounds of oranges for $10.88. What is the unit price per ounce?

Answers

Answer:

0.68

Step-by-step explanation:

A car traveled 133 miles in 4 3/4 hours. What was the cars average speed in miles per hour?

Answers

4 3/4 = 19/4

 

133/(19/4) = 133(4/19) = 1197/19 = 63 mph

need help with this problem

Answers

Answer:

x = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan30 = x/12

x = 12tan30

x = 12(sin30/cos30)

x = 12(½ / ½√3)

x = 12/√3

x = (12/3)√3

x = 4√3

There are 11 students in a high school senior class. In how many ways could the yearbook choose the winners of Most Athletic, Class Clown, Best School Spirit, and Best Looking?​

Answers

We have 11 items and 4 choices

Using the formula for 11C4

We can work out that the amount of ways to choose 4 things from 11 is equal to

11!/(7!)(4!) = 330 ways

The number of ways the yearbook chooses the winners of Most Athletic, Class Clown, Best School Spirit, and Best Looking is 330 ways.

What are permutation and combination?

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Given that there are 11 students in a high school senior class. The number of ways will be calculated as,

The formula for arrangement,

¹¹C₄ = 11!/(7!)(4!)

¹¹C₄ = 330 ways

To know more about permutation and combination follow

https://brainly.com/question/4658834

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Graph the system. Use the graph to approximate
the solution of the equation.

Answers

Answer:

2.09

Step-by-step explanation:

And set them up as a function. We could set y equals to each side of it. So if we set y equals to the left-hand. Side we get Y is equal to three has to the X power.

Answer:

Plot a graph of the function y = log (x) and move it by 1 unit to the left.

Plot the graph of the function y = x ^ 2, reflect over the x-axis, and move it 10 units up.

The coordinates of the intersection of the graphs are the solution.

Solution: x=3

I think this your answer you did not really say your answer?????

How much money does drake make and how many houses does he have

Answers

Answer:

Step-by-step explanation:

Drake has 2 houses and makes $50,000,000

I need help on math true and false please

Answers

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

10. False

someone please answer this

Answers

The slope is the number in front of the x. And the y-intercept is the number after the x.

A negative y-intercept would be subtracted from the equation.

Answer is B. Y = 7.5x - 2

Answer:

B

Step-by-step explanation:

y = 7.5x - 2

The slope is 7.5

y- intercept is -2

Solve 3x3-6. Graph the solution.
A)
B)
C)
D)

Answers

The answer is D. Hope this helps

Determine if a relation is a function {(-1,5), (2, 7), (-3,2), (-1, 1)}

Answers

The relation is NOT a function

Answer:

Step-by-step explanation:

A relation is only a function if ALL the x-values (the first number in the pairs) ONLY have one partner.

Check that -1

At first that -1 is paired up with a 5 in the ordered pair (-1, 5) but then later... that -1 is down there hanging out with a 1 in the last ordered pair (-1, 1).

This means that this relation (all the pairs lumped together) is NOT a function. Just because of that -1 pairing up with more that one partner.

Find the quotient 12÷3/8

Answers

Answer:

32

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator

 

Thus, the answer to 12 divided by 3/8 in fraction form is:

96 /3

To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

96 / 3 = 32

The answer is rounded to the nearest two decimal points if necessary.

96/3 can be simplified to 32/1.

32/1 is an improper fraction and should be written as 32.

Hope this helps <3

Answer:32

Step-by-step explanation: 0.375 = 3/8

12/0.375=32

Use the Fundamental Theorem of Calculus to find y′ pls help me

Answers

Answer:

Convert to the form of fundamental theorem

[tex]y = \int_{1-6x}^1 \frac{u^3}{1+u^2}du= -\int\limits^{1-6x}_1 {\frac{u^3}{1+u^2} } \, du[/tex]

Step-by-step explanation:

Now, you can apply the theorem, that is [tex]y'= f(1-6x) \times (1-6x)' = -6 \frac{(1-6x)^3}{(1+(1-6x))}[/tex]

Simplify!!

In which number does the 5 have involve that is ten times the value of the number 5000?

A. 23,523
B. 7,508, 240
C. 45,701
D. 556,429

Answers

The answer is any number that has to do with the 5 in the ten thousands places

In the number 556,429, 5 have involve that is ten times the value of the number 5000.

The given numbers are 23,523, 7,508,240, 45,701 and 556,429.

What is the place value?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Option A:

In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.

In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.

In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.

In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.

Here, ten times the value of the number 5000 is 50000.

Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.

To learn more about the place value visit:

https://brainly.com/question/21467438.

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let f(x)=3x-2, g(x)=5x+1
fogof(2)

Answers

Answer:

f(g(2)) = 29

Step-by-step explanation:

First of all we write the new function defined as the composite function of f and g: f(g(x)) = 3(5x+1) - 2 = 15x + 3 - 2 = 15x -1

Now we can simply "plug in" 2 instead of the x in the function we just obtained: f(g(2)) = 15*2 - 1 = 29

Find the measure of angle m

Answers

Answer:

36

Step-by-step explanation:

Any triangle have 180 degrees in total.

So 60 + 84 + angle M = 180

144 + angle M = 180

180 - 144 = angle M

angle = 36

36 degrees. Subtract those two numbers by 180 degrees.

100 POINTS!!! Please solve this question step by step and explain each step for 100 points.

Answers

[tex]2\dfrac 29 = -\dfrac 45 m \\\\\implies 2+ \dfrac 29 =- \dfrac 45 m \\\\\implies \dfrac{20}9 = -\dfrac 45 m \\\\\implies 5(20) = (-4m)9\\\\\implies 100 = -36m\\\\\implies m = -\dfrac{100}{36} \\\\\implies m = -\dfrac{25}9\\\\\implies m=-2\dfrac 79[/tex]

Answer:m = -25/9Step-by-step explanation:[tex]2\frac{2}{9} = \frac{-4m}{5}[/tex]=> [tex]\frac{2(9)+2}{9} = \frac{-4m}{5}[/tex]=> [tex]\frac{20}{9} = \frac{-4m}{5}[/tex]=> [tex]\frac{20}{9} = \frac{-4m}{5}[/tex]=> [tex]100 = -36m[/tex]=> [tex]m = \frac{-100}{36}[/tex] => [tex]m = \frac{-25}{9}[/tex]Conclusion:

Therefore, the answer is m = -25/9.

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

250 + 200h = 300 + 180h
250 + 200h = 300 + 180h
− 180h − 180h
250 + 20h = 300

Answers

Answer:

  h = 2.5

Step-by-step explanation:

Continue the solution by subtracting 250 from both sides.

  250 -250 +20h = 300 -250

  20h = 50

Divide both sides by 20

  20h/20 = 50/20

  h = 5/2 = 2.5

During a sale, a store offered a 10% discount on a stereo system that originally sold for $810. After the sale, the discounted price of the stereo system was marked up by 10%. What was the price of the stereo system after the markup? Round to the nearest cent.

Answers

Answer: The following is only intended for mature audiences.

"Viewer discretion advised

Answer:

$801.9

Step-by-step explanation:

10% of 810 is 81

810-81 = 729

10% of 729 is 72.9, so add that back to get the extra 10%

729+72.9 = 801.9

Please give brainliest if I helped! :)

My daughter is having a hard time trying to figure this problem.

Answers

Hey there! :-)

First, let's find the slope of the line.

We can do that by using this formula:

Slope=Rise/Run

Where

Rise=how many units we move up

Run=how many units we move left or right.

We move 5 units up and 8 units to the right.

Therefore, the slope is 5/8.

The y-intercept (where the line touches the graph) is -9/8.=

Therefore, the equation of the line is y=5/8x-9/8.

Hope this helps you daughter. Use the comment section to clarify any doubts.

Answered by

~A felicitous teen who helps others with a smile on her face

Good luck.

Answer:

a - y=5/8x - 9/8

Step-by-step explanation:

firstly, work out the gradient between those two coordinates

[tex]gradient = \frac{change \: in \: y}{change \: in \: x} [/tex]

[tex]gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]

now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept

use any of the two coordinates in the graph. I'll use (5,2)

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

[tex]2 = \frac{5}{8} (5) + c[/tex]

[tex]2 = \frac{25}{8} + c[/tex]

[tex]therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8} [/tex]

now we have the gradient and y intercept

so the equation is

[tex]y = \frac{5}{8} x - \frac{9}{8} [/tex]

13/15% of a quantity is equal to what fraction of the quantity?​

Answers

Answer:

13/15

Step-by-step explanation:

What is 25+25-100+25+25

Answers

Answer: 0

Step-by-step explanation: when you add 25+25 it is equal to 50. when you subtract 100 from 50 it gives you -50. when you add 25+25= 50 so you add that -50 and 50 and it gives you zero (im not very good at explaining hope it helped)

On a number line, where would
4/5
be located? Choose all answers that make
a true statement.

Answers

The answer is To the right of 3/5
3+1= 4 so it’s like 1,2 so
It’s the right of 3/5
only a and b are correct!

If the sum of six consecutive even integers is 438, what is the smallest of the six integers?

Answers

46
Because the sum of six consecutive is 46

4x+2=5x-1
Find solution to the equation

Answers

Answer:

3

Step-by-step explanation:

4x+2=5x-1

4x - 5x = -1 -2

x = 3

-8 = m/3 + 2

Solve the equation.
m=?
Please explain using 2-step version

Answers

-8 = m/3 + 2

Subtract 2 from both sides

-10 = m/3

Multiply both sides by 3

M = -30

Answer:

[tex]m=-30[/tex]

Step-by-step explanation:

[tex]-8=\frac{m}{3}+2[/tex] <-- Given equation

[tex]3(-8)=3(\frac{m}{3}+2)[/tex] <-- Step 1: Multiply both sides by 3 to eliminate the fraction

[tex]-24=m+6[/tex]

[tex]-24-6=m+6-6[/tex] <-- Step 2: Subtract both sides by 6 to isolate "m"

[tex]-30=m[/tex] <-- Final Solution

Find the sum of 1/8 and -3/4 . can you please give an explanation would mean very well please

Answers

First, find the least common denominator. In this case it would be 8. If you are multiplying 4 by 2 to get 8, you must also multiply the numerator by 2.
1/8 + -3(2)/4(2)
1/8 + -6/8
Write all numerators above the common denominator.
1-6/8
Calculate.
-5/8

Hope this helps!

9. Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at
(1 point)
(1 4). (4.5), and (2.0).
A 3.7). (7.8). (5.3)
B 3.4) (12,5), (6,0)
C 3.12). (12.15) (6.0)
D (112) (4.15) (2.0)

Answers

The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

If the coordinate (x, y) is dilated by a scale factor of k, the resulting coordinate will be at (kx, ky)

Given the coordinate of the triangle (1 4). (4.5), and (2.0), if this coordinate is dilated by a factor of 3, the resulting coordinates will be at (3 12), (12.15), and (6.0).

Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Learn more on dilation here: https://brainly.com/question/10253650

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