Answer:

Step-by-step explanation:
Given
See attachment for ski trails
Required
Total length of
ski trails
From the attached figure, there are 3 skis with length 
So:
The total length is:

Express fraction as improper fraction




Answer:
The temperature needs to decrease 71° - 50° = 21° that at least not greater than 50°F
As we know, the device decrease the temperature down 3.5° every hour, so
21 : 3.5 = 6 hour
Call x is the hours we need to wait to let the device decrease, we have
x > 6
To check for continuity at the edges of each piece, you need to consider the limit as
approaches the edges. For example,

has two pieces,
and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have

By definition of
, we have
, and the limits are


The limits match, so
is continuous.
For the others: Each of the individual pieces of
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
Answer: 1/6
Step-by-step explanation:
Common denominator is 6 the 1/2 is. 3/6
the 1/3 is 2/6
Subtract. You get 1/6
The obvious answer is 6. If three of the lengths are 6, and there are four total sides, then you would need 6 to complete the shape, as it is a square, and a square is a type of trapezoid.