The answer to the question is the second story problem
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.
Use the Pythagorean theorem to solve this problem. So, 81+x^2=1681. ( Pythagorean theorem: a^2+b^2=c^2). x^2=1600. x=40.
Answer:
The correct answer is b) 1100 adults and 1400 students.
Step-by-step explanation:
To find this, set up a system of equations in which x is the number of students who attend and y is the number of adults who attend.
First start by creating an equation for money made.
5x + 10y = 18,000
Now write an equation for the amount that attend.
x + y = 2,500
Now multiply the bottom equation by -5 and add the equations together.
-5x - 5y = -12,500
5x + 10y = 18,000
5y = 5,500
y = 1,100
Since this is the number of adults, we can plug into an original equation to find the number of students.
x + y = 2,500
x + 1,100 = 2,500
x = 1,400
