What is the median for the following set of numbers? 5, 7, 12, 15, 21, 21, 22, 22

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

motikmotik

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:

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

4 0

8 months ago

A number divided by 6

ryzh [129]

Answer:

x/6

Step-by-step explanation:

Use x to represent "a number" bc u dont know exactly what that number is.

6 0

2 years ago

Read 2 more answers

Plsss helppp!!!!!!!!!!!!!!

azamat

Answer:

yes

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data.

because not every father would be born on the same day this is a statistical question.

8 0

2 years ago

7m-17=60 solve one and two step equation

lord [1]

Answer:

11

Step-by-step explanation:

Hope it helps you :)

5 0

2 years ago

Read 2 more answers

Please help ASAP!!!!!!!!

JulijaS [17]

The correct answer is: "The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35."

Step-by-step explanation:

When numbers are considered, their position or place value matters a lot.

When a decimal number is written, moving left from the decimal point the place value increases ten times and while moving to the right the place value decreases 10 times.

Given two numbers are:

50.8 and 18.35

In order to compare the 5 in both numbers we have to find the place value of 55 in both numbers.

So,

The place value of 5 in 50.8 is: 50

The place value of 5 will be: 5/100

To compare the values, we will divide the larger place value by smaller place value

$=\frac{50}{\frac{5}{100}}\\\\=\frac{50*100}{5}\\\\= \frac{5000}{5}\\\\=1000\ times$

Hence,

The correct answer is: "The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35."

Keywords: Place value, decimals

Learn more about place values at:

#LearnwithBrainly

4 0

3 years ago