Answer:
arc = 15π
Step-by-step explanation:
The arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is the radius )
given diameter = 24 then r = 24 ÷ 2 = 12
arc = 2π × 12 × 
= 24π × 
= 3π × 5
= 15π
The graphed trigonometric function is the one in option a.
<h3>Which is the equation of the graph?</h3>
The key parts that we can see on the graph are:
From this we know that the correct option is either a or b.
Now we can evaluate options a and b in x = 0 and see which one is equal to zero.
for a:
y = sin(0 - pi/2) + 1 = sin(-pi/2) + 1 = -1 + 1 = 0
for b:
y = cos(0 + pi/2) + 1 = 0 + 1 = 1
Then we can see that option a is the correct option.
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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Assuming that the population follows an exponential function, the it will take the form:
y=a(bˣ)
where:
a=initial value
b=growth factor
x=time
thus plugging our values in the equation we get:
y=40000(1.1ˣ)
thus the population in 2011 when t=3 will be:
y=40000(1.1³)
y=53240
Answer:
No choices listed.
Step-by-step explanation:
13/36 would be the answer I believe