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:
Wendy must mix .25 with .75
Step-by-step explanation:
Because 1 is a third of 3 which makes the process for the decimals.
#29 is 1x - 6 and you had to divide the two numbers
Answer:
56.72mm
Step-by-step explanation:
BQ = 34 - 16 = 18mm
Using similar triangle,
AQ = QC =(16*18)/34 = 8.47mm
AC = 2*8.47 = 16.94 mm
Since
BC = AB = sqrt( AQ² + BQ²)
BC = AB = sqrt( 8.47² + 18²)
BC = AB = 19.89mm
Perimeter of triangle ABC = AB + BC + AC
P = 19.89 + 19.89 + 16.94
Perimeter = 56.72mm
The probability expression is 
<h3>How to determine the probability expression?</h3>
The given parameters are
- Sophomore = 6
- Freshmen = 14
The total number of people is
n = 20
2 of the 20 people are to be selected.
So, the number of selection is

This gives

The expression that represents both students being sophomore is
--- i.e. 2 students selected from 6
The probability is then represented as:

Hence, the probability expression is 
Read more about probability at:
brainly.com/question/8524947
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