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Serggg [28]
2 years ago
6

A circle with a circumference 120, degrees central angle.What is the length of the arc?

Mathematics
1 answer:
Mrrafil [7]2 years ago
8 0

Answer:  arc\ length=6

Step-by-step explanation:

The complete exercise is: "A circle with circumference 18 has an arc with a 120° central angle. What is the length of the arc?"

For this exercise you need to remember the folloowing:

1. The circumference of a circle can be found with this forrmula:

C=2\pi r

Where "r" is the radius of the circle

2. The Arc length can be calculated with the following formula:

arc\ length=2\pi r(\frac{C}{360})

 Where "r" is the radius.

In this case, you know that the circumference of this circle is 18. Then, yoy can identify that:

2\pi r=18

So, knowing that the central angle measures 120 degrees, you can substitute values into the formula for calculate the arc length and then you must evaluate.

Therefore, applying this procedure, you get the following result:

arc\ length=18(\frac{120}{360})\\\\arc\ length=6

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8.9x-5 and -6.8x+8

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3 years ago
If the equation x^2 + 16x + c = 0 has only one real solution, the value of c must equal
kumpel [21]

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

<h3>Discriminant: </h3>

The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.  

The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by

<h3>               Discriminant Δ = b² - 4ac </h3>

Here we have

x² + 16x + c = 0 equation has only one real solution

Compare given equation with ax²+ bx + c = 0

=> a = 1, and b = 16  

As we know when an equation has only one real solution

then its Discriminant will be equal to zero

=> b² - 4ac = 0

By the above values,

=> 16² - 4(1)c = 0  

=> 256 - 4c = 0

=> 4c = 256

=> c = 256/4

=> c = 64

Therefore,

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

 

Learn more about Discriminant at

brainly.com/question/15884086

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3 0
1 year ago
Can someone help me in this please
Karolina [17]
Is the value of b is 5?
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3 years ago
What is the equation of the line with slope of ½ , and which passes through the point <br> (4, - 5)?
Cerrena [4.2K]

Answer:

y = 1/2x - 7

Step-by-step explanation:

y = mx + b

m (slope) = 1/2

x = 4

y = -5

<em>substitute</em>

-5 = 1/2 * 4 + b

-5 = 2 + b

-5 -2 = b

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y = mx + b

y = 1/2x -7

8 0
2 years ago
Simplify this expression <br> 2/3 (6c+9)−(8c−5)
Ludmilka [50]

Answer:

This is the right answer −4c+11

Step-by-step explanation:

3 0
2 years ago
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