First, recall that the equation of a line is
y = mx+b
where
m = slope
b = y-int
The key to this question is the details :
Horizontal line ---> This tells you that your slope is 0
y-int = 3.5 -----> In the equation above, b=3.5
Therefore,
y = 0x + 3.5
y = 0 + 3.5
y = 3.5
Angle w equals 130 degrees.
Explanation:
A line equals: 180 degrees total.
180-50=130
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:
x= -5/3
Step-by-step explanation:
Move all the terms that don't contain x to the right side and solve.
Hope this helps :)
Answer: The answer is actually C
Step-by-step explanation: