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aleksley [76]
3 years ago
13

Sin75 in sure form using trigonometric identity

Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

sin75°=sin(45°+30°)=(√6+√2)/4

Step-by-step explanation:

sin75°=sin(45°+30°)

=sin45°*cos30°+cos45°*sin30°

=(√2/2)* (√3/2)+ (√2/2)*(1/2)

=(√6+√2)/4

<h2>Brainliest? Please! </h2>

baherus [9]3 years ago
5 0

Answer:

<em>sin75°=sin(45°+30°)=(√6+√2)/4</em>

Step-by-step explanation:

<em>sin75°=sin(45°+30°)</em>

=sin45°*cos30°+cos45°*sin30°

=(√2/2)* (√3/2)+ (√2/2)*(1/2)

=(√6+√2)/4

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Find the midpoint of segment JP, given J(-4,6) and P(-12,-2).
grin007 [14]

Answer:

The answer is

<h2>( - 8 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,6) and P(-12,-2)

The midpoint is

<h3>M = ( \frac{ - 4 - 12}{2}  ,  \:  \frac{6 - 2}{2} ) \\  = ( -  \frac{16}{2} ,  \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( - 8 , 2)</h3>

Hope this helps you

6 0
3 years ago
     Brandon is 6 times as old as Cora. In 4 years, Brandon will be only twice as old as
nalin [4]
C-Cora's\ age\ now\\B-Brandon's\ age\ now\\\\B=6C\ \ \ and\ \ \ B+4=2(C+4)\\\\6C+4=2C+8\\6C-2C=8-4\\4C=4\ \ \ \Rightarrow\ \ \ C=1\ \ \ \Rightarrow\ \ \ \ B=6\cdot1=6\\\\Ans.\ Brandon\ is\ now\ 6\ years.
4 0
3 years ago
Find the value of x and the length of each diagonal <br> x=<br> LN=<br> MP=
MArishka [77]

According to property the diagonals are equal in rectangle

6x+19=9x-5

9x-6x=19+5

3x=24

x=24/3

x=8

4 0
2 years ago
1.) Use the following information to solve the questions. Kay sold 200
Yakvenalex [24]

9514 1404 393

Answer:

  • 75 adult tickets
  • 125 child tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (200-a) is the number of child tickets sold, and the revenue is ...

  8a +5(200 -a) = 1225

  3a = 225 . . . . . . . . . . subtract 1000, simplify

  a = 75 . . . . . . . . . . . . .divide by 3

  200 -a = 125

75 adult ($8) and 125 child ($5) tickets were sold.

__

<em>Additional comment</em>

The question asked here is "how many tickets did Kay sell?" The second line of your problem statement tells you the answer: "Kay sold 200 tickets ...". We have assumed that you are interested in the breakdown of tickets sold, even though that is not the question that is asked here.

3 0
3 years ago
Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr
vfiekz [6]
7d+3Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

so

re write the expressions

\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\  \end{gathered}

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

n=7d+3

therefore , the expression for the number of nickles is

7d+3

I hope this helps you

3 0
1 year ago
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