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
Answer:
488
Step-by-step explanation:
Area of rectangle: 17 x 22 = 374
Area of triangle: 22 - 10 = 12
0.5(12 x 19) = 114
Add them together: 374 + 114 = 488
Answer:
Exact form : -31/4
Decimal form: -7.75
mixed number form: -7(3/4)
Step-by-step explanation:
P=2L+2W
P-2W=2L
P/2-W=L
L=P/2-W
Answer:
PEMDAS
P- Parenthesis
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
The first step or what you solve first is parenthesis