Given:
Amplitude of cosine function, A=3.
Period, T=7π/4.
Midline, D=2.
The time period can be expressed as:

Put T=7π/4 to find the value of B.

The general cosine function can be expressed as,

Substitute B=8/7, A=3 and D=2 in above equation.

Therefore, the cosine function is,
Answer:
So, we know that the internal angles of a triangle add up to 180 degrees, yes?
60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.
Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!
Hope I helped!! :)
Answer:
Step-by-step explanation:
h = 5 ft
diameter = 2.4 ft
Radius is half of diameter
r = 2.4/2 = 1.2 ft
Now, find the volume of the tank
Volume = πr²h
= 3.14 * 1.2 *1.2 * 5
= 22.608 cubic ft
Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute
= 22.608 ÷ 2.3
= 9.8
= 10 minutes
Answer:
variable is a symbol which works as a placeholder for expression or quantities that may vary or change; is often used to represent the argument of a function or an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions.