What is t in 197sin(12t)=141
1 answer:
Answer:
t ≈ 0.0664731
Step-by-step explanation:
Use the inverse sine function.
sin(12t) = 141/197
12t = arcsin(141/197)
t = arcsin(141/197)/12
t ≈ 0.0664731 . . . . . . . radians
__
This is the principal value. There are other solutions at values of t that have integer multiples of π/6 added to this. There are also solutions where any of those values is subtracted from π.
_____
In general, angles in math are assumed to be in radians, unless specified otherwise. This angle corresponds to about 3.81°. (In geometry, the usual assumption is that angles are measured in degrees.)
You might be interested in
Answer:
See below
Step-by-step explanation:
Intersection of a regular octagon and a line segment can result in:
- Triangle (ABC as example)
- Quadrilateral (ABCD as example)
- Pentagon (ABCDE as example)
- Hexagon (ABCDEF as example)
- Heptagon (ABCDEFG as example)
Refer to attached
Answer:
The population of bacteria after 6 days is 2,313.06
Step-by-step explanation:
Given as :
The initial population of bacteria = i = 1,000 bacteria
The growth rate of bacteria per day = 15%
Let The population of bacteria after 6 days = f
The time period of growth = 6 days
<u>Now, According to question</u>
The population of bacteria after 6 days = initial population ×
Or, f = i ×
Or, f = 1000 ×
Or, f = 1000 ×
Or, f = 1000 × 2.31306
∴ f = 2,313.06
So,The population of bacteria after 6 days = f = 2,313.06
Hence,The population of bacteria after 6 days is 2,313.06 Answer