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aksik [14]
3 years ago
13

What are sides in a angle ?

Mathematics
1 answer:
Tanya [424]3 years ago
7 0
An angle is the figure formed by two rays, called the sides of the angle
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Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t
frozen [14]

Answer:

The length of the third side of given triangle lies between 6.5 and 19.9.

Step-by-step explanation:

The law of cosine is as follows

 c^{2} =a^{2}+b^{2}+2abcos\alpha---------------1

⇒ a and b are the given sides of the triangle and c is the third side, and \alpha is the angle between a and b .

In equation 1 , the maximum and minimum values of cos\alpha are 1 and -1.

 so the value of c  lies in between

⇒ \sqrt{a^{2}+b^{2}-2ab   } and  \sqrt{a^{2}+b^{2}+2ab  }   = |a-b| and |a+b|

Given a=13.2 and b=6.7 so the the side lies in between  |13.2-6.7| and |13.2+6.7|

  so the third side lies between 6.5 and 19.9

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Nick can read 3 pages of his book in 1 minute. At this rate how many pages can he read in 30 minutes?
g100num [7]

Answer:

90

Step-by-step explanation:

3/1=3

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Factoring Quadratic Trinomials 6n^2 - n - 40 =
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Answer:

(3n - 8)(2n + 5)

Step-by-step explanation:

6n² - n - 40

Consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × - 40 = - 240 and sum = - 1

The factors are - 16 and + 15

Use these factors to split the n- term

6n² - 16n + 15n - 40 ( factor the first/second and third/fourth terms )

2n(3n - 8) + 5(3n - 8) ← factor out (3n - 8) from each term

(3n - 8)(2n + 5)

Then

6n² - n - 40 = (3n - 8)(2n + 5)

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