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bagirrra123 [75]
3 years ago
8

Carl has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/

24 yard?
Mathematics
1 answer:
iris [78.8K]3 years ago
7 0
First you should Simplify
\frac{20}{24} = \frac{5}{6}
\frac{3}{6} + \frac{1}{3} = \frac{5}{6}


Solution
1. Find the LCM between 6 and 3 which is 8
2. Times 3 and 6 to both sides of the equation respectively.
\frac{3 \times 3}{18} + \frac{6 \times 1}{18}
\frac{9 + 6}{18} = \frac{15}{18}
3. Simplify the answer by dividing by 3.
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A circle has a radius of 6. An arc in this circle has a central angle of 330
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Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

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