A circle has 360 degrees
so circumference = (360 / 60) * 3 = 6*3 = 18 feet
Answer:
(-2,21)
Step-by-step explanation:
2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago.
8 days ago means that x-coordinate -8 represents this day. Count 8 units to the left and find that when x = -8, y = 24 minutes.
9 days ago means that x-coordinate -9 represents this day. Count 9 units to the left and find that when x = -9, y = 18 minutes.
Find halfway commute time between points (-8,24) and (-9,18):

then coordinates that Paulo should graph are
(-2, 21)
(-2 means 2 days ago, 21 is the halfway)
The equation
is

Some observations:
is defined only as long as
, or 
- wherever
is defined, its value must be non-negative, so that
is never positive - by the definition of absolute value, we have
if
, and
if
. Then

If
, the equation becomes

Taking the square of both sides gives

but since the discriminant is
, there are no real solutions.
If
, then

Taking squares gives

and solving by the quadratic formula gives two potential solutions,

which have approximate values of 8.49 and 26.51.
We know for any value of
that
. We have
and
, so only the first solution 8.49 is valid.
Hey there! :)
Answer:
m∠y = 55°.
Step-by-step explanation:
Begin by solving for x since y and x are supplementary angles.
Recall that all of the angles in a triangle must sum up to 180°. Therefore:
180 - 30 - 25 = 125°.
x = 125°, therefore:
180 - 125 = 55°.
m∠y = 55°.
Answer: d
Step-by-step explanation:
d