Find the value of sec(theta°)cos(theta°) for the following values of theta. b. theta = 225
1 answer:
Answer:
sec(theta°)cos(theta°) = 1
Step-by-step explanation:
given data
(theta°) = 225
to find out
sec(theta°)cos(theta°)
solution
as we know that given equation
(theta°) = 225
cos(theta°) will be
cos(225°) = -0.7071 .................................1
so we know
sec(theta°) = ..............2
so put here value of cos(theta°)
sec(theta°) =
sec(theta°) = - 1.4142
so
sec(theta°)cos(theta°) = -0.7071 × ( - 1.4142 )
sec(theta°)cos(theta°) = 1
so answer is sec(theta°)cos(theta°) = 1
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Answer:
Approximately 62 gallons of water will be used by Lee County by the year 2025.
Step-by-step explanation:
The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:
In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.
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This means that
Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.
This means that
So
Approximately how many million gallons of water will be used by Lee County by the year 2025?
2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).
Rounded to the nearest millions
Approximately 62 gallons of water will be used by Lee County by the year 2025.
The function f(x) is vertically compressed to form g(x) while the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
<h3>How to compare both functions?</h3>The functions are given as
f(x) =x^2
g(x) =3x^2
h(x) = -3x^2
Substitute f(x) =x^2 in g(x) =3x^2 and h(x) = -3x^2
g(x) =3f(x)
h(x) = -3f(x)
This means that the function f(x) is vertically compressed to form g(x)
Also, the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
See attachment for the functions g(x) and h(x)
Also, functions f(x) and g(x) have the same domain and range
While functions f(x) and h(x) have the same domain but different range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
h(x) -12 -3 0 -3 -12
Read more about function transformation at:
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