The pentagon has a sum of interior angles of 540 degrees.
Therefore,
(4x + 5) + (5x - 5) + (6x + 10) + (4x + 10) + 7x = 540;
26x = 520;
x = 20;
Given the function:
Let's find the amplitude and period of the function.
Apply the general cosine function:
Where A is the amplitude.
Comparing both functions, we have:
A = 1
b = 4
Hence, we have:
Amplitude, A = 1
To find the period, we have:
Therefore, the period is = π/2
The graph of the function is shown below:
The parent function of the given function is:
Let's describe the transformation..
Apply the transformation rules for function.
We have:
The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.
ANSWER:
Amplitude = 1
Period = π/2
Transformation = horizontal compression.
Answer is -10
Work: -(5+5)
Answer:
A) A[p(t)] = 36πt²
B) 7234.56 square units
Step-by-step explanation:
<u>Given functions</u>:
<u>Part A</u>
To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):
<u>Part B</u>
Given
Substitute the given values into the equation for A[p(t)} found in part A:
Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.
Answer:
The value of the expression at w=3 is;
Explanation:
Given the expression;
Then when w=3, the value of the expression is;
The value is gotten by replacing/substituting w with 3 in the expression;
Therefore, the value of the expression at w=3 is;