Answer:
Step-by-step explanation:
Given is a trignometric equation in x, as
TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now
Principal solution is 
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
0.31 = 31%
% is out of 100 so 31% is 31 out of 100 which is 31/100 :)
Answer: 6 inch
Step-by-step explanation:
From the question, we are informed that a map of Rockbridge County has a scale factor of 2.5 in = 5 miles.
When the actual distance from Fairfield to Lexington is 12 miles, the distance on the map will be:
= 12/5 × 2.5
= 2.4 × 2.5
= 6 inch
The complete question is
"The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.
Gum Packages of gum Pieces of gum
1
15
2
30
3
45
4
?
How many pieces of gum are in 4 packages of gum?"
Using a proportional function, there are 60 pieces of gum in 4 packages.
<h3>What is a proportional relationship?</h3>
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
The constant is given by:
k = 15/1
k = 30/2
k = 45/3
k = 15.
Therefore, the number of pieces of gums in x packages is given by:
y = 15x.
In 4 packages:
y = 15 x 4
y = 60 pieces of gum.
Using a proportional function, there are 60 pieces of gum in 4 packages.
More can be learned about proportional functions at brainly.com/question/10424180
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