Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

Where
 is the central angle
  is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:

Thus,
The area of the shaded sector is 69.81 sq. meters.
 
        
             
        
        
        
Answer:
x² - 6x = -5
x = {1, 5}
Step-by-step explanation:
The square of a number minus six times a number equals negative five.
x² - 6x = -5
Add 5 to both sides
x² - 6x + 5 = 0
Factor
(x - 1)(x - 5) = 0
x = {1, 5}
 
        
                    
             
        
        
        
Answer:
0.037
Step-by-step explanation:
If the hitter makes an out 72% of the time, then the probabilty that he makes hit in 1 at-bat is  and the probabilty that he doesn't make hit in 1 at-bat is
 and the probabilty that he doesn't make hit in 1 at-bat is 
The probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events is 

 
        
             
        
        
        
Step-by-step explanation:
<h3>
13:8</h3><h3>
A=13x.       B=8x</h3><h3>
13x + 8x = 44</h3><h3>
        21x=44</h3><h3>
            x=2.095</h3>