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:
y = - 5x + 8
Step-by-step explanation:
Given that :
Intercept = 8
Slope = - 5
Recall, the general. Slope - intercept equation :
y = bx + c
Where;
b = slope ; c = intercept
Plugging the Given slope and intercept values, equation becomes ;
y = - 5x + 8
Answer:
F=86+qb
Step-by-step explanation:
Answer:
It would be 54.
Step-by-step explanation:
It would be 2 times 2, which is four, and then you would add by 50.
2 x 2 = 4
4 + 50 = 54
So, it will not be 100, it will be 54.
Answer:
31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Step-by-step explanation:
I was not sure what number you wanted me to go till but i did prime numbers greater than 30, but within 100...hope this helps!