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:
See below
Step-by-step explanation:
Quarters= 25(x)
Nickels =5(x+16)
25x+5(x+16)=590 (no decimal)
If you solve for x, you’ll get the number of quarters.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
secx = 
, cosecx = 
cotx = 
, tanx = 
Consider the left side
secA cosecA - cotA
= 
× 
- 
= 
-
= 
= 
( cancel sinA on numerator/ denominator )
= 
= tanA = right side ⇒ proven
Answer:
it is 1/4
Step-by-step explanation:
20/60=10/30=1/3
