Answer:
The area of the sector is 9.43 ft^2
Step-by-step explanation:
Here, we want to find the area of the sector with a central angle of 30 degrees
To do this, we use the formula below;
Area of sector = theta/360 * pi * r^2
theta = central angle = 30 degrees
r = radius = 6 ft
Thus, we have it that;
Area of sector = 30/360 * pi * 6^2
= 30/10 * pi = 3 * 3.142 = 9.43 ft^2
Answer:
B ( 432 units^2)
Step-by-step explanation:
Total surface area= 2*(6*6)+ 4*(15*6)
There are 2 squares at each end of the same size so total area will be 2*(6*6)
If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)
In short, total surface area= 2*(6*6)+ 4*(15*6) = 432 units^2
Answer:
dependent, 39/155
Step-by-step explanation:
Since the checkers are not replaced, the events are dependent since the number of checkers in the bag when you pick the second time depends on the first pick.
31 checkers—13 red and 18 black.
P(red) = red/ total
= 13/31
Keep the checker
Then 30 checkers—12 red and 18 black.
P(black) = black/ total
= 18/30 = 3/5
P ( red, keep,black) = 13/31 *3/5
39/155
Answer:
Square root of 98
Step-by-step explanation:
This figure is a triangle. Using the definition of triangles, it is determined that angles 1, 2, and 3 add up to 180 degrees. In this instance, we know the values of 2 combined angles. With this information it is only necessary to subtract the values of angles 1 and 2 (134) from 180 degrees to find the value of angle 3. This leads us to the solution that angle 3 has a value of 46 degrees.
