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mash [69]
3 years ago
6

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10

4 miles due north of the warehouse.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?

130
169
201
208

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0
Step 1
find the coordinates of the factory
the <span>factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)
coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport
let
A coordinates of warehouse-------> A( 39,-52)
B coordinates of airport---------> B(-39,52)
C coordinates of factory-------> C(39,52)

distance AB=</span>√[(52+52)²+(-39-39)²]------> distance AB=130 miles
<span>
step 3
find the distance airport to factory
B(-39,52)
</span>C(39,52)
distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

<span>the total number of miles=distance AB+distance BC---> 130+39
</span><span>the total number of miles=169 miles
</span>
the answer is
169 miles
IRINA_888 [86]3 years ago
5 0

Answer:

169 miles

Step-by-step explanation:

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