Desiree drove north for 30 minutes at 50 miles per hour. Then, she drove south for 60 minutes at 20 miles per hours. How far and
in what direction is Desiree from where she started?
1 answer:
Answer:
Step-by-step explanation:
The scenario is illustrated in the attached photo.
Desiree drove north for 30 minutes at 50 miles per hour.
Distance = speed × time
Distance travelled by Desiree to the north is 50 × 30 = 1500 miles
Distance travelled by Desiree back from the north and to the south is
60 × 20 = 1500 miles
She started from south and drove 1500 miles towards the north. She returned by driving 1200 miles again towards south . Distance of Desiree from where she started will be 1500 - 1200 = 300 miles.
She is 300 miles from her starting position and she is in the southern direction.
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Answer:
and
under this translation.
Step-by-step explanation:
A translation in is a mapping T from
to
defined by
, where
is a fixed vector in
.
From the problem we know that , so we need to find the values
and
such that
, so
and
, thus
and
.
Then and
Therefore and
. The triangles CAR and C'Q'R' are shown in the figure below.
