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3 years ago

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What is the correct definition of the word bias? a. particular point of view b. a personal or unreasoned judgment c. to study in

detail, or examine critically d. the capability of being believed; trustworthiness

1 answer:

wlad13 [49]3 years ago

7 0

Answer:

b. a personal or unreasoned judgment

Step-by-step explanation:

The answer is B because bias is basically something or someone that you favor over anything or anyone else. Or what you belving in your own opion.

As an example, our strong bias in favor for the idea, or a test biased towards people who are excellent at math.

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Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o

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Answer:

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

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Make h the subject:

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Also, in BOC (Using Pythagoras)

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$x^2 = a^2 - h^2$ becomes

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Factorize

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In trigonometry:

$Cos^2C = 1-Sin^2C$

So, we have that:

$x^2 = a^2 Cos^2\ C$

Take square roots of both sides

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In triangle BOA, applying Pythagoras theorem, we have that:

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Open bracket

$AB^2 = h^2 + b^2-2bx+x^2$

Substitute $x= aCos\ C$ and $h = aSin\ C$ in $AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2$

Open Bracket

$AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C$

Reorder

$AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C$

Factorize:

$AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C$

In trigonometry:

$Sin^2C + Cos^2 = 1$

So, we have that:

$AB^2 = a^2 * 1 + b^2-2abCos\ C$

$AB^2 = a^2 + b^2-2abCos\ C$

Take square roots of both sides

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

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