Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
Answer:
1/9
Step-by-step explanation:
3 red
2 blue
5 green
Total
3
+
2
+
5
=10
Probability of blue is
2
10
~~~~~~~~~~~~~~~~~~~~~~~
Second condition:
3 red
1 blue
5 green
New total
3
+
1
+
5
=
9
Probability of green is
5
9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Total probability of selecting this path is:
2
10
×
5
9
=
2
9
×
5
10
=
2
9
×
1
2
=
1
9
Ok so the first step would be to distribute 3 into 3x and -6. So 3 times 3x would be 9x. 3 times -6 is -18.
the equation now is
18 = 9x - 18
Now you would have to do inverse operation
18 = 9x - 18
+18 +18
36 = 9x
Now you would divide 9x into 36 to isolate the variable
36 / 9x = 4
x = 4
Answer: There is a 50% chance one will land on heads.
Step-by-step explanation:
