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natita [175]
2 years ago
8

Given the arc length of a circle is 127π centimeters and the subtended angle is 60˚. Find the Circumference of the circle.

Mathematics
1 answer:
Mumz [18]2 years ago
4 0

The circumference of the circle is 762π cm.

<h3>What is length of arc of a circle?</h3>

The length of arc a circle can is determined with the radius and central angle of the arc.

The radius of the circle is calculated as follows;

L = \pi r \times \frac{ \theta }{180} \\\\&#10;\pi r \theta = 180 L\\\\&#10;\pi  r = \frac{180 L}{\theta}

The circumference of the circle is calculated as follows;

C = 2\pi r\\\\&#10;C = 2(\pi  r)\\\\&#10;C = 2(\frac{180 \ L}{\theta } )\\\\&#10;C = 2(\frac{180 \times 127\pi}{60 } )\\\\&#10;C = 762 \pi \ cm

Learn more about circumference of a circle here: brainly.com/question/9782777

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Alex bought 10 shares of Apex Co. for $95 each and later sold all of them at $105 each. This transaction resulted in what type o
Sauron [17]
If there are choices, please list them.

If not, it is certainly a capital gain if you live in the United States.

And capital gains are taxed. Again if you are in the US and you are not a trader, you will be taxed at a different higher rate if you sold it in less than a 1 year period.

Over a year and it is called a long term gain and the tax rate is lower. There's more about how to write off short term losses and gains, but that's getting into complexity you probably don't need to know about. 

Answer: Capital Gain <<<<<<
4 0
3 years ago
Read 2 more answers
Determine both the x and y intercepts. Please help! Will mark brainliest!
Mademuasel [1]

Answer:

y-intercept: (0, 2.5)

x-intercept: (1.67, 0)

Step-by-step explanation:

Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.

2y = -3x + 5

y = -3/2x + 5/2

From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).

To get the x-intercept, substitute 0 for y.

0 = -3/2x + 5/2

3/2x = 5/2

3x = 5

x = 5/3

So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).

Hope this helps!

3 0
3 years ago
Read 2 more answers
Jim ran 15 miles in 5 days. At this rate, how many days will it take Jim to run 165 miles?
AleksAgata [21]

Answer:

55 days

Step-by-step explanation:

Given

Jim ran 15 miles in 5 days

no. of miles ran in 5 days = 15 miles

dividing LHS and RHS by 5

no. of miles ran in 5/5(=1) days = 15/5 miles = 3 miles

no. of miles ran in 1 day =  3 miles

let the no. of days taken to run 165 miles be x   ----A

No of miles ran in x days = x*no. of miles ran in 1 day = 3x miles

thus,  From A

3x  = 165

x = 165/3 = 55

Thus, it took 55 days for JIM to run 165 miles

3 0
3 years ago
Multiply this expression :: -2/7 • (-3 5/8)​
Helen [10]

Answer: 29/28

Step-by-step explanation:

-2/7 x (-3 5/8)

= -2/7 x -29/8

= 2/7 x 29/8 = 1/7 x 29/4

= 29/28

7 0
2 years ago
5700 is compounded semiannually at a rate of 15% for 12 years
Rama09 [41]

Answer:

$32,335.38

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time</em>

<em />

Now lets plug in the values into the equation:

5,700(1+\frac{.15}{2})^{12(2)} = 32,335.38

Your answer is $32,335.38

4 0
2 years ago
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