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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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Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Ilia_Sergeevich [38]

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through (-3,-6) and (2,-2). So, the equation of line is

y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))

y+6=\dfrac{-2+6}{2+3}(x+3)

y+6=\dfrac{4}{5}(x+3)

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Subtract 6 from both sides.

y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6

y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}

y=\dfrac{4}{5}(x)+\dfrac{-18}{5}

y=\dfrac{4}{5}(x)-\dfrac{18}{5}

Therefore, the equation of line is y=\dfrac{4}{5}(x)-\dfrac{18}{5}.

3 0
3 years ago
Mr. Roseanne will buy 12 1/2 pounds beef for for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After t
Yuri [45]

Answer:

As per the statement:

Mr. Roseanne will buy 12\frac{1}{2} pounds beef for for a cookout.

⇒ Weight of the beef he buy = \frac{25}{2} pounds.

It is given that:

The price for the first 3 pounds of beef is $4.99 per pound.

then;

the price for 3 pounds he will pay= 3 \times 4.99 =\$ 14.97

After that, the price is $4.49 per pound.

Remaining weight of beef left  = \frac{25}{2} -3 = \frac{19}{2} pounds.

then;

the price of \frac{19}{2} pounds he will pay = \frac{19}{2} \times 4.49= \$42.655

now, total money he will pay for the 12\frac{1}{2} pounds beef = 14.97+42.655 = \$57.625

Therefore, $57.625 will Mr. Roseanne pay for the beef


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