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3 years ago

The measure of each interior angle of a regular 56-gon. round to the nearest tenth

Mathematics

2 answers:

Aliun [14]3 years ago

8 0

180 (n-2)
180 (56-2)
180 x 54 = 9720 (sum of all angles in 56-gon)
9720/56= 173.6 degrees

adell [148]3 years ago

5 0

9,720 the formula is n-2 *180 n is the number of sides so 56-2*180

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2 years ago

Which of the following equations have complex roots?

mestny [16]

Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the discriminant is negative.

Discriminant

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

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Learn more about complex roots here:

brainly.com/question/26344541

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2 years ago

What is 3+3+3+3x7x9+4+2+7+6+3-5+5-5

Tpy6a [65]

Answer:215

Step-by-step explanation:

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2 years ago

Read 2 more answers

Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item pro

OleMash [197]

Answer:

P(A∣D) = 0.667

Step-by-step explanation:

We are given;

P(A) = 3P(B)

P(D|A) = 0.03

P(D|B) = 0.045

Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.

Using Bayes' Rule and Law of Total Probability, we will get;

P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]

Plugging in the relevant values, we have;

P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]

P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]

P(B) will cancel out to give;

P(A∣D) = 0.09/0.135

P(A∣D) = 0.667

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3 years ago

Determine the scale factor for each dilation. Determine whether the dilation is an enlargement, reduction, or congruence transfo

scoray [572]

General Idea:

W hen we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

When $k>1$ , then P' is enlargement of P

When $0 < k < 1$ , then P' is reduction of P

Applying the concept:

In the diagram given A'B'C' is enlargement of ABC. So the correct option will be option A. $k = 2$ , enlargement

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2 years ago