The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C
where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon
For an octagon, the central angle is
C = 360/8 = 45
So,
N = 360 / 45 = 8
Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.
Answer:
The time(s) the ball is higher than the building: Interval (0,4)
Step-by-step explanation:
s(t)=-16t^2+64t+400
Determine the time(s) the ball is higher than the building:
s(t)>400
-16t^2+64t+400>400
Subtracting 400 both sides on the inequality:
-16t^2+64t+400-400>400-400
-16t^2+64t>0
Multiplying the inequality by -1:
(-1)(-16t^2+64t>0)
16t^2-64t<0
Fatorizing: Comon factor 16t:
16t(16t^2/16t-64t/16t)<0
16t(t-4)<0
t is greater than zero:
t>0→t-4<0→t-4+4<0+4→t<4
Then t>0 ant t<4:
Solution = (0, Infinite) ∩ (-Infinite, 4)
Solution = (0,4)
| Red |Green | Brown Total
<span>Smile |0.100 | .300 | .10 0.50</span>
<span>No smile |0.200 | .150 | .15 0.50
Total 0.30 0.45 0.25 1.00
The probability of choosing red candy is 0.10
The probability of choosing no smile candy is 0.50
The probability of choosing red or no smile = 0.10 + 0.50 = 0.60
I did not use 0.30 as the probability of red because it included the no smile candy. It should only be red candy that has a smile.</span>
Answer:
<u>Because Nevada is one of the seven states where residents no pay income tax, no matter how much you make. This decision is compensated with a higher-than-average sales tax.</u>
Step-by-step explanation:
1. Let's check the information provided to us to answer the question correctly:
Layla annual earnings = US$ 55,000
A.J. annual earnings = US$ 55,000
Income tax rate paid by Layla = 4.63%
Income tax rate paid by A.J. = 0%
2. Colorado uses these taxes to pay for public services such as school, police, and sanitation. A.J. pays 0 percent of his yearly income to the state of Nevada in income taxes. Yet his town has schools, police, and sanitation services. Why does this happen?
Because Nevada is one of the seven states where residents no pay income tax, no matter how much you make. This decision is compensated with a higher-than-average sales tax.
