Answer: 52.7856cm
Step-by-step explanation:
Circumference of a circle = 2πr
Note that radius = Diameter / 2 = 16.8/2 = 8.4cm
Circumference = 2πr
= 2 × 3.142 × 8.4
= 52.7856cm
Therefore, the circumference of the circle is 52.7856cm
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
Part A
Let x represent the number of coworkers who prefer the talk news radio.
% prefer the talk news radio,
% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.
Part B
We apply ratio to find x.
Hence number that corresponds to 65% will be greater than 28.
If more, less will divide.
This implies that,
Hence 52 of her coworkers prefer the local news talk station.
First do
3x + -5x = -2x
Then do
-2x + 5x = 3x
Lastly do
3x+1
