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31.08.2019 •
Mathematics
In the figure, the radius of the partial circle with center a is 4 feet.
the perimeter of the figure is feet, and the area of the figure is square feet.
assume π = 3.14, and round your answers to the nearest hundredth.
options for blank 1 are: 18.84, 24.50, 26.84, 75.36
options for blank 2 are: 11.42, 22.84, 45.68, 53.68
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Ответ:
Step 1
Find the perimeter of the figure
we know that
the perimeter of a circle is equal to the circumference
where
C is the circumference of the circle
r is the radius of the circle
we have
substitute
In the figure
the triangle ABC is a right triangle
Applying the Pythagoras Theorem find the length side CB
we have
substitute the values
The perimeter of the figure is equal to
of the circumference plus the length side CB
so
therefore
the answer Part a) is
the perimeter of the figure is
Step 2
Find the area of the figure
we know that
the area of a circle is equal to
where
r is the radius of the circle
we have
substitute
the area of the triangle ABC is equal to
in this problem
substitute the values
the area of the figure is equal to
of the area of the circle plus the area of the triangle ABC
therefore
the answer Part b) is
the area of the figure is
Ответ:
The Sample Response is: The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.