Answer:
Step-by-step explanation:as we know that arc length is
s=r*∅
as given angle in degree so  convert it in radian we get
angle=2.09 rad
r=3.5 cm
hence we get 
s=3.5*2.09 =7.315 cm
perimeter of sector = s +d  where d=2*r=2*3.5=7 cm
perimeter of sector=7.315+7=14.315 cm
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Answer:
33.33% probability that it takes Isabella more than 11 minutes to wait for the bus
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.

For this problem, we have that:
Uniformly distributed between 3 minutes and 15 minutes:
So 
What is the probability that it takes Isabella more than 11 minutes to wait for the bus?
Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So

We want P(X > 11). So

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus
 
        
             
        
        
        
Answer:
C, D, E
Step-by-step explanation:
 
        
             
        
        
        
Answer:
x=1 or x=9
Step-by-step explanation:
make x the subject of the formula by correcting the right terms and then divid both sides by 2
 
        
             
        
        
        
For this case we have that by definition of trigonometric relations of a rectangular triangle, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. While the tangent of the same angle is given by the leg opposite the angle on the leg adjacent to the angle.
Then, according to the figure we have:

Answer:
