If cos (A+B) = cosAcos B – sinAsin B , find the value of cos 75

Answers

Answer 1

Answer:

Step-by-step explanation:

Cos 75 = Cos ( 30 + 45)  {Use Cos (A + B) identity}

            = Cos 30*cos 45 - Sin 30 Sin 45

            [tex]= \frac{\sqrt{3}}{2}*\frac{1}{\sqrt{2}}-\frac{1}{2}*\frac{1}{\sqrt{2}}\\\\= \frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}\\\\=\frac{\sqrt{3}-1}{2\sqrt{2}}\\\\=\frac{(\sqrt{3}-1)*\sqrt{2}}{2\sqrt{2}*\sqrt{2}}\\\\=\frac{\sqrt{3}*\sqrt{2}-\sqrt{2}}{2*2}\\\\=\frac{\sqrt{6}-\sqrt{2}}{4}[/tex]


Related Questions

A triangle has one angle that measures 61 degrees, one angle that measures 44 degrees, and one angle that measures 75 degrees. what kind of triangle is it?
choices
1.right triangle
2.obtuse triangle
3.acute triangle ​

Answers

It is an acute triangle because none of the angles are 90 degrees or higher

Answer:

Acute triangle

Step-by-step explanation:

All the three angles of the triangle is less than 90, all angles are acute. So, it is acute triangle.

If any one of the three angles is 90, then it is right triangle.

If any one of the three angle is more than 90, then it is obtuse triangle.

Answer ASAP pls pls

Answers

Answer:

21x +11 is the answer hope this helps

15x+15 + 6x-4 yes yes

Which expression represents the difference of 15 and s, increased by 4?
A. (15 + s) - 4
B. (4 + s) + 15
C. (4 - s) + 15
D. (15 - s) + 4

Answers

the answer to this would be D

Q3
A group of scientists collected data on 700 birds in the area. They determined that
12 out of every 35 birds were blue. Based on the results of the study, how many
birds in the population were NOT blue? (7.60. SS, RCA)

Answers

Answer: 240 birds are blue

Step-by-step explanation:

Takes 35 x 2=70 so 20 x 35 is 700 then do 12 x 20 and your answer is 240

A mother is 3 times as old as her daughter.In 12 years time she will be twice as old as her daughter will be then. How old is the mother now?

Answers

Answer:

The mother will be 36.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

just multiply 12 and 3

what is the average monthly ranfall?

Answers

Where? In what place are you talking about?

Please explain how you got your answer! ​

Answers

Answer: b =50°

Step-by-step explanation:

The angles on a straight line =180°

180° = 50°+90°+b

180°-50°-90°=b

50° = b

Answer:

Step-by-step explanation:

∠b + ∠a + 50° = 180°

∠b + ∠90 + 50° = 180°

∠b = 180° - 90° - 50° = 40°

what is the slope of 2x-4y=5

Answers

the slope is 1/2x and the y intercept is -5/4

Answer:

1/2 or .5

Step-by-step explanation:

Hey There!

So the first step of this problem is to get y on one side and everything else on the other side

to do so we use inverse operations

so to get rid of the 2x we subtract 2x from each side

we would end up with -4y=5-2x

now want to get rid of the -4 on the y

to do so we would divide each side by -4

we would end up with

[tex]y=\frac{1}{2}x -\frac{4}{5}[/tex]

so we can conclude that the slope is 1/2 or .5

I need help identifying the hidden question

Answers

Answer:

Hidden question 1: How much change did Joshua get back after paying for his supplies.

Hidden question 2: How many puppies have spots?

(I hope this is what you meant by hidden questions. If you meant something like rearranging the words I am so sorry.)

Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False

Answers

Answer:

True.

Step-by-step explanation:

It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.

It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.

For example,

Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32

Let's find image using scale factor 0.4, we get

length =0.4(12)= 4.8

width =0.4(4)=1.6

So, perimeter of image = 4.8+4.8+1.6+1.6=12.8

If we compare the perimeters

0.4(32)=12.8.

So, it is true.

HELP PLEASEEEEEE!!!!!

Answers

I think the answer is C because it depends on if the function is below or above the x axis

can someone help me please!!

Answers

Answer:

55°

Step-by-step explanation:

∠KJL=180° - 125 = 55°

KL=KJ

so, ∠KJL= ∠KLJ =55°

50 POINT QUESTIONS WILL MARK BRAINIEST IF YOU ANSWER ALL OF THEM. QUIZ DUE IN 10 MINUTES PLEASE ANSWER!!!!

Answers

Answer:

Pljjsjshshjsjshsbsbsbbshs

what is the value of x in simplest radical form?

Answers

Answer:

13

Step-by-step explanation:

here's your solution

=> base = 12

=> perpendicular = 5

=> we need to find hypotenuse = ?

=> we know , h^2 = p^2 + b^2

=> h^2 = 12^2 + 5^2

=> h^2 = 144 + 25

=> h^2 = 169

=> h= 169

=> h= 13

hope it helps

1/2x13x6=?
What is this? I need help!

Answers

the answer is 39 (: !!

solve-1/8<34 then graph it

Answers

Answer:

This isn’t really a valid equation, so I’m guessing you forgot to type something.

Step-by-step explanation:

david and jason have marbles in a ratio of 2:3. together they have a total of 35 marbles . how many marbles dose David have

Answers

Answer:

14 marble

Step-by-step explanation:

here's your solution

=> Total number of marble = 35

=> ratio of David and Jason = 2 : 3

=> let the ratio be in x

=> now, 2x + 3x = 35

=> 5x = 35

=> x = 35/5

=> x = 7

=> number of marble with David = 7*2 = 14

=> number of marble with Jason = 7*3 = 21

hope it helps

Answer:

number of marbles that David had=

[tex]35 \times \frac{2}{5} \\ 14marbles[/tex]

If an = a1 x 5^n-1 and a1=1
what is the value of a5?

Answers

5 is the value ahhahaha

The equation that matches this diagram is
3(y + 200) = 3000.
What is the value of Y.

Answers

Answer: y = 800

Step-by-step explanation:

3(y + 200) = 3000

3y + 3(200) = 3000

   3y + 600 = 3000

              3y  = 2400     [Subtract 600 from both side]

                y   = 800      [Divide 3 in both side to solve for y]  

Of 42 cities, 5 have a lake and 29 have a river running through them what fraction of these 42 cities have a lake or river running through them

Answers

Answer: 17/21

Step-by-step explanation:

Number of cities = 42

Fraction of cities that has lake = 5/42

Fraction of cities that have rivers = 29/42

The fraction of these 42 cities that have a lake or river running through them will then be:

= 5/42 + 29/42

= 34/42

= 17/21

A town's population went from 40,000 to 50,000. What was the percent of change in the population?

Answers

It would be a 0.8% change

Consider the system of equations.

4x−3y=−2
2x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?
Answer Options:
•Distributive Property of Equality
•Division Property of Equality
•Substitution Property of Equality
•Addition Property of Equality

Answers

Should be elimination, but the best closest is substitution

a certain book has 396 pages the student has already read 3/8 of the pages and now picks up the book again at time x=0 minutes write the equation that describes the total number of pages of the book read as a function of the number of minutes of further reading

Answers

Answer: https://brainly.com/question/22630516?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Step-by-step explanation: I hope this helps pls mark branily

Can someone help me it’s due today

Answers

Answer:

(19 2/3)(k)+14

Hope this Helps! :)

Simplify the sum. State any restrictions on the variables.

X-2/x+3 + 10x/(x^2)-9

Please show all work and don’t forget the restrictions!

Answers

Remove ( ), factor, least common multi of, adjust, expand, answers is : X^2-15x+6 / (x+3)(x-3)

The resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]

How to simplify fractional sum

Given the expression as shown in the question:

[tex]\frac{x-2}{x+3} + \frac{10x}{x^2-9}[/tex]

Find the LCM of the expression to have:

[tex]\frac{(x-2)(x-3)+10x}{(x+3)(x-3)}[/tex]

Expand the expression

[tex]\frac{(x^2 - 5x+6+10x}{(x+3)(x-3)}\\\frac {x^2 + 5x+6}{(x+3)(x-3)}\\[/tex]

Expand the expression

[tex]=\frac {x^2 + 2x + 3x +6}{(x+3)(x-3)}\\=\frac {x(x + 2) + 3(x +2)}{(x+3)(x-3)}\\=\frac{(x+2)(x+3)}{(x+3)(x-3)}\\ =\frac{x+2}{x-3}\\[/tex]

Hence the resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]

Learn more on expansion here: https://brainly.com/question/52825

put them in order of best to wowrst: apple juice, orange juice, grape juice

there is a correct answer, will give brainliest to correct answer​

Answers

Answer:

grape juice, orange juice, then apple juice

or the obvious choice

none of them are the best because none of them are good

Answer:

[tex]1)apple \: juice \\ \: \: \: \: \: 2)orange \: juice \\ \: 3)grape \: juice[/tex]

pleasee help! Percents!!!

Answers

Answer:

Step-by-step explanation:

55%

Solve the following question

Answers

Answer:

a. 3 13/14

Step-by-step explanation:

i hope this helps :)

Please help. Find the value of x in the triangle shown below.
5
8

Answers

Answer:

x=+-[tex]\sqrt{89}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex]=[tex]8^{2}[/tex] + [tex]5^{2}[/tex]

[tex]x^{2}[/tex]=64+25

[tex]x^{2}[/tex]=89  

x=+-[tex]\sqrt{89}[/tex]

PLEASE HELP! 20 PTS

Choose ALL that apply for spring tides

Question 1 options:

Moon, Sun, and Earth are perpendicular


Moon, Sun, and Earth are aligned


Highest of the high tides and lowest of the low tides.


Occur twice a month

I tried A and B. and it was wrong.

Answers

Answer: The answers are B, C, and D (I took the quiz and it was right)

Answer:

B: Moon, Sun, and Earth are aligned

C: Highest of the high tides and lowest of the low tides.

D: Occur twice a month

Step-by-step explanation:

I took the test its right, trust me

    I got 100

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