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
kow [346]
1 year ago
9

Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

st it’s just hw please help thanks a lot The first question I need help, use cod 210 degree =-radical 3 over 2 to find the exact value of cod 105 degree

Mathematics
1 answer:
motikmotik1 year ago
4 0

Given:

There are given that the cos function:

cos210^{\circ}=-\frac{\sqrt{3}}{2}

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}

Then,

Put the value of cos210 degrees into the above function:

So,

\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}

Final answer:

Hence, the value of the cos(105) is shown below:

cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}

You might be interested in
Y=-3x+4 solved for y
Sauron [17]
Y= -3x+4   should be 0

7 0
3 years ago
Read 2 more answers
Who can help me on my math I’m failing can y’all please help me on some questions.
Gnoma [55]

Answer:

8 & 17?

Step-by-step explanation:

8*2= 16

so that makes 17 one more then 8*2 and the sum of 17 and 8 =25

5 0
3 years ago
Suppose that land in downtown Savannah is valued at $20 per square foot. What is
saveliy_v [14]

Answer:

$165554

Step-by-step explanation: I  use the Law of Cosines to find one of the angles of the triangle.  Then use the formula for the area of the triangle: A = (1/2)absinC.

C= 92.856 degree

Area = (1/2)(112)(148)sin(92.856°) = 8277.7 ft^2

To find the price just need to take 8277.7 time 20 = 165554

So the answer is $165554

3 0
1 year ago
A jewelry store purchases necklaces for n dollars each. The necklaces are then marked up by 20%, and costumers are charged 5% sa
Aleksandr [31]

Answer:

Step-by-step explanation:

Cost price = $n

Mark up price = selling price- cost price

= (20% × $n)

Selling price = $n + (20% × $n)

Sales tax = 5% × ($n + (20% × $n))

Total cost = selling price + sales tax

Total cost = $n + (20% × $n) + 5% × $n + (20% × $n)

= 1.2 × $n + 0.06 × $n

= 1.26 × $n.

8 0
3 years ago
Milo cut his cake into 2 equal pieces. He ate 2pieces of cake for his birthday.
Sauron [17]

Answer:

1  or \frac{2}{2}

Step-by-step explanation:

<h2><u>We know that Milo cut his cake into 2 different pieces, so:</u></h2>

\frac{x}{2}

<h2><u>He then eats two pieces of the cake. so:</u></h2>

2  pieces  of  cake  =  x

\frac{2}{2}   = 1

8 0
3 years ago
Other questions:
  • Do male and female servers work the same number of hours? A sample of 25 female servers worked an average of 26 hours per week,
    8·1 answer
  • Hannah has only nickels and dimes in her wallet she has a total of $2.50 and a total of 30 coins how many nickels does she have?
    7·1 answer
  • What is the average rate of change of the function on the interval from x = 1 to x = 2?
    7·1 answer
  • According to the graph what is the value of the constant in the equation below
    8·1 answer
  • Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/
    9·2 answers
  • Gus and Ike carried a total of 84 books to the library. If Gus carried 5 as many books as Ike, how many books did they each carr
    6·1 answer
  • An example of a difference-equals-deficit error is:
    7·1 answer
  • Am i right ? i just want make sure
    15·1 answer
  • Write you question here (keep it clear and simple to get the best answer)
    6·1 answer
  • Which is the correct simplification:<br> giving brainliest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!