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GalinKa [24]
3 years ago
9

Find the arc of the semicircle(diameter is 12)

Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

18.849

Step-by-step explanation:

\frac{180}{360}  \times 2\pi \:  \times 6 \\  \frac{1}{2}  \times 2 \times \pi \times 6 \\  \pi \times 6  \\ = 18.849

You might be interested in
How do i find the slope
Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.

Now, to find the slope we insert our values, starting with our second y point:

<u>m=</u>\frac{2-y_{1 } }{x_{2} -x_{1} }<u></u>

Now insert our first y point:

<u>m=</u>\frac{2-4 }{x_{2} -x_{1} }<u></u>

Now we insert our second x point:

<u>m=</u>\frac{2-4 }{-3 -x_{1} }<u></u>

And finally our first x point:

<u>m=</u>\frac{2-4 }{-3 -3 }

Now, we solve:

<u>m=</u>\frac{-2 }{-6}

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

<u>m=</u>\frac{2 }{6}

Now, we simplify our fraction by dividing the top and bottom by 2:

<u>m=</u>\frac{1}{3}<u></u>

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y=\frac{1}{3}x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Insert our values:

<u>m=</u>\frac{4-1}{2-(-4)}<u></u>

Get rid of the double negative:

<u>m=</u>\frac{4-1}{2+4}<u></u>

Solve:

<u>m=</u>\frac{3}{6}<u></u>

Simplify:

<u>m=</u>\frac{1}{2}

Now that we know our slope, let's plug it in to our slope intercept form equation.

y=\frac{1}{2}x+3

I hope this was helpful! Keep learning! :D

5 0
3 years ago
Fill in the answer to 5+5=4+_
Gnom [1K]

Answer:

6

Step-by-step explanation:

5+5=10, so 4+6=10

4 0
3 years ago
Read 2 more answers
Please I need help!! Thank you
Artemon [7]
BD=10 because it is symmetrical to AD.
6 0
3 years ago
Jenn went shopping and spent $112. She bought a book for $24 and CD's that cost $8 each. What equation would you use to find out
slavikrds [6]
I would use the equation
24 + 8x = 112

let x = the amount of CDs she bought.

Hope this helps!!
3 0
3 years ago
If 6 is added to 2 times a certain number, the result is 14. Find the number. Please answer!!
ipn [44]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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