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
If the formula is a+b-c then you need to substitute the letters with the numbers. For this equation the formula would be:
(1+3-4) + (2+5-6)
(4-4) + (7-6)
0 + 1
=1
The answer would be 1
Answer:
5 batches
Step-by-step explanation:
1/6 oatmeal can make 1 batch, so 5/6 makes 5 batches
Answer:
7 cards.
Step-by-step explanation:
60-39.5=20.5, that's what he has left if he buys 5 cards.
so, if you buy 2 more cards, that would be 18 dollars so 20.5-18=2.5
5 cards+ 2 cards= 7 cards.
He still hzs 2.5 dollars left