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2 answers:
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Answer:
see explanation
Step-by-step explanation:
the arc length of a circle is calculated as
arc = circumference of circle × fraction of circle
(5)
circumference (C) is calculated as
C = 2πr ( r is the radius )
here diameter = 12 , then r = 12 ÷ 2 = 6
C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )
(6)
JK = 2πr ×
= 2π × 7 ×
= 14π ×
= ≈ 9.2 in ( to the nearest tenth )
(7)
7.5 = 2πr ×
7.5 = 2πr × ( multiply both sides by 3 to clear the fraction )
22.5 = 2πr ( divide both sides by 2π )
r = ≈ 3.6 ft
See attached graph (from -4<=x<=2 )
The y-intercept is the multiplier to the exponential, i.e. 2.
The graph goes from (-3,1/4) to (2, 8), so the range in interval notation is [1/4,8]
If f(x)=2(3^x), then the y-intercept stays the same at 2. The graph goes from (-3, 2/27) to (2,18), and the corresponding range will be [2/27, 18].
See second graph for more information.
The y-intercept is the multiplier to the exponential, i.e. 2.
The graph goes from (-3,1/4) to (2, 8), so the range in interval notation is [1/4,8]
If f(x)=2(3^x), then the y-intercept stays the same at 2. The graph goes from (-3, 2/27) to (2,18), and the corresponding range will be [2/27, 18].
See second graph for more information.