12. Which one of the following expressions cannot be factored?

Wtite an expession that uses patial products to muliply 8x4

Alenkinab [10]

32 is my expression i think thats the correct answer

6 0

4 years ago

Consider triangle ABC with the measure of an angle B = 60ﾟ and sidelinks a equal 4 &c equal 5 what option listed is an expre

ivann1987 [24]

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The correct option is B.

<h3>What is the Law of Cosine?</h3>

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

$c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}$

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

The length of the sidelink b using the cosine rule can be written as,

$b = \sqrt{a^2+c^2-2ac\cos(\angle B)}\\\\b = \sqrt{4^2+5^2 - 2(4)(5)(\cos 60^o)}\\\\b = \sqrt{16+25-20}$

Hence, the correct option is B.

The complete question is:

Consider ABC with the measure of angle B equal to 60 degrees, and side lengths a=4 and c=5. Which option lists an expression that is equivalent to the length of side b?

Options are given in the image below.

Learn more about the Law of Cosine:

brainly.com/question/17289163

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