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3 years ago

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A circle has a radius that is 4 centimeters long. if a central angle has a measure of 3 radiants, what is the length of the arc

that corresponds to the angle ?
A. 12 centimeters
B. 4 centimeters
C. 3 centimeters
D. 7 centimeters

1 answer:

Romashka [77]3 years ago

4 0

Answer:

A number is right 12 centimetres

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Which graph represents the solution to the given system ? Y=- 6X - 2Y +2=- 6X

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Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

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Given the first equation:

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You can identify that:

$m=-6\\b=-2$

By definition, the line intersects the x-axis when $y=0$ . Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:

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Solve for "y" from the second equation:

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Use 4's and any of the operations: +, -, × and ÷ to write number sentences.

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Answer:

Step-by-step explanation:

(4x4)÷(4+4) = 2

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Find the nth term of this quadratic sequence<br> 3, 11, 25, 45, .

Hoochie [10]

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

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Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

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The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6 $(\frac{n(n+1)}{2} )$

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

= 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Learn more about Principle of mathematical induction at:

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Answer:

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