Answer:
see explanation
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
← r = 1
= 2π ×
=
≈
= 1.57
First, let's find out the number of minutes Emily has to get to school. From 8:25 to 8:50, there are 25 minutes.
Next, let's find out the number of minutes before Emily looks at her watch. From 8:25 to 8:28.50, there are 3.5 minutes.
Now let's calculate Emily's speed in miles per minute. To do so, divide the distance traveled by the time it took:

miles/minute
Now let's calculate how far Emily can travel in 25 minutes going this speed. To do so, we multiply her speed by the time traveled:

miles
5.357 miles is greater than 3.42 miles, so yes, Emily will make it to school on time.
Answer: -628
Step-by-step explanation:
F(140) = 212 - 6(140)
F(140) = 212 - 840
F(140) = -628
Answer:
The equation of the line would be y = 1/3x + 2
Step-by-step explanation:
To find this, we must first solve the original equation for y.
3x + y = 6
y = -3x + 6
This means the original slope is -3. Since the original slope is -3, we know that the perpendicular slope is 1/3. This is because perpendicular slopes are opposite and reciprocal.
Now we use the slope and the intercept in slope-intercept form to get the equation.
y = mx + b
y = 1/3x + 2