1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aniked [119]
3 years ago
8

Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o

f two divided by four quantity negative square root of six plus square root of two divided by four square root of six minus square root of two
Mathematics
1 answer:
ehidna [41]3 years ago
6 0

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

You might be interested in
Sarah's age is four more than twice her brothers age. Write two equivalent algebraic equations that can be used to find their ag
marissa [1.9K]

Answer:

Step-by-step explanation:

Let her brother's age be x

Sarah is 2x + 4

3 0
3 years ago
The dot plots below show the scores for a group of students for two rounds of a quiz: Two dot plots are shown one below the othe
miskamm [114]

Answer:

The inference that can be made using the dot plot is:

    The range of round 1 is greater than the round 2 range.

Step-by-step explanation:

<u>Round 1:</u>

Score                Frequency

  1                          0

  2                          2

  3                          3

  4                          2  

  5                          1

Hence, the minimum score of Round 1 is: 2

maximum score is: 5

Hence, Range=Maximum value-Minimum score

                      =5-2

                       =3

Similarly, <u>Round-2</u>

Score                Frequency

  1                          0

  2                         0

  3                          0

  4                          4  

  5                          4

Hence, the minimum score of Round 1 is: 4

maximum score is: 5

Hence, Range=Maximum value-Minimum score

                      =5-4

                       =1

The scores of round 2 are higher than round-1.

Since round 2 have a higher frequency for higher scores as compared to round-1.

Hence, Range of round 1 is greater than the range of Round-2.

 

6 0
3 years ago
Read 2 more answers
Given the function f(x) = √x-8 + 3 which of the following is the value of f(24)
kvasek [131]

Answer:

The answer is 7.

Step-by-step explanation:

You have to substitute the value of x into the function :

f(x) =  \sqrt{x - 8}  + 3

f(24) =  \sqrt{24 - 8}  + 3

f(24) =  \sqrt{16}  + 3

f(24) = 4 + 3

f(24) = 7

6 0
3 years ago
If f(x)= x2+2x-10, what id f(-2)
Sindrei [870]
The answer is -18. Hope this helps.
6 0
3 years ago
Which statement is true about the graphs of the two lines y = –6 and x = 1/6<br>?
ivanzaharov [21]
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x =1/6 is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x =1/6 is a horizontal line with a slope that is undefined.
<span> The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x =1/6 is a vertical line with a slope that is undefined. </span>
4 0
3 years ago
Other questions:
  • jasmyn and her three friends went out for lunch. They decided to leave a 15% percent tip. The receipt showed a total of $42.98 b
    5·1 answer
  • The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl
    6·1 answer
  • Cedric's basketball team scored fewer than 78 points in their last game. Which of the following inequalities represents the numb
    9·1 answer
  • What is the sum of angles A + B + C?
    9·1 answer
  • Find the surface area of a square prism with a side measure of 15
    13·1 answer
  • Hey everyone! What is -9.56 - (-1.235) = ?<br> Thanks!
    5·1 answer
  • Find the difference of the two functions
    10·2 answers
  • Easy math question need fast
    5·1 answer
  • Please quickly answer number 6 will give brainliest
    10·2 answers
  • Solve and make a table ( you may decide what the topic is and the value is.Algebra I)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!