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
Steps to solve:
5x² = 15x
~Subtract 15x to both sides
5x² - 15x = 15x - 15x
~Simplify
5x² - 15x = 0
~Factor left side
5x(x - 3) = 0
~Factors equal 0
5x = 0 and x - 3 = 0
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~Simplify 5x = 0
5x/5 = 0/5
x = 0
~Simplify x - 3 = 0
x - 3 + 3 = 0 + 3
x = 3
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Thus, the correct answer is 0, 3.
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Best of Luck!
Answer:
b = 110°
Step-by-step explanation:
The sum of angles in a trapezoid is 360°
Summing the angles we get:
65°+55°+130°=250°
Then subtracting this value from 360° we get:
360°-250°=110°
Final answer of 110°
Answer:
.80
or
0.80
Step-by-step explanation:
80 is out of 100, which is other words is .80 or 0.80
16% = 0.16
1/6 = 0.16666
1.6x10^6 = 1600000
0.166 = 0.166
order from greatest to least:
1.6x10^6, 1/6, 0.166, 16%
Answer is D
