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3 years ago

Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the

Mathematics

1 answer:

Afina-wow [57]3 years ago

3 0

Answer:

b² = a² + c² - 2ac cos B

Step-by-step explanation:

The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.

The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.

For sides a, b and c the cosine rule can be represented below

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

The equation required base on your question is

b² = a² + c² - 2ac cos B

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Filomena applies the commutative property to the product. (7/15)⋅(−11)⋅(30) Which expression illustrates the commutative propert

dedylja [7]

The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.

Commutative property of multiplication is expressed as:

a x b = b x a

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Note: " . " in the question also means "x" (multiplication)

Applying commutative property to the question:

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Answer:

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Step-by-step explanation:

When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.

(x−3)(x−1) Expand with FOIL

= x² - x - 3x + 3 Collect like terms

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