Answer:
independent: day number; dependent: hours of daylight
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
1.79 fewer hours on Feb 10
Step-by-step explanation:
a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).
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b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,
March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...
d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
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c) d(41) = 10.34, so February 10 will have ...
12.13 -10.34 = 1.79
hours less daylight.
The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
<h3>How to graph the equation of the function?</h3>
The equation of the function is given as; g(x) = |x| - 3
The above function is an absolute value function.
The parent function of an absolute value function is; f(x) = |x|
This means that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 3 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
See attachment for the graph of g(x)
Read more about transformation at; brainly.com/question/1548871
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Answer:
I think it's 32 but I'm not so sure please make sure
Step-by-step explanation:
I didn't really know how to solve it I'm sorry but I'll try to see if it's right
1. Area of a circle is pi(R)^2 , where R is the radius. So we can substitute:
22/7(16^2) = about 805 meters squared.
2. Let's find the area of the rectangle first.
A=LW
A= 18(10)
A= 180 cm squared.
Now the semi-Circle:
The radius of the circle is 9 (because 18/2 is 9). Now we plug in to the area formula:
22/7(9^2) = about 254 cm squared. But because that is the area of the whole circle, and we only need half of the circle, we divide that value by 2 to get:
127 cm squared for the semi-circle.
Now we add up the rectangle and semi-circle's areas:
180 + 127 = 307 cm squared as your answer.
I hope this Helps!