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Vilka [71]
2 years ago
11

What's the answer ??? Someone please help me

Mathematics
2 answers:
lesya [120]2 years ago
5 0
The answer is: 22.4339811320566038 mi.
                   → Consider rounding to 22.43 mi.
_______________________________________________________
(Note: Do not forget the units, in "miles", which can be abbreviated as: "mi.").
____________________________________________________________________
Explanation:
_____________________________________________________________________
Let us assume that, at the beginning, Joan is leaving her own house to pick up Kash, first.
_____________________________________________________________________
Then, the answer to our problem is the sum of the length of all sides of the triangle given, remember that each "unit" on the graph represents miles.
_____________________________________________________________________
We can solve this using the Pythagorean theorem: 
_____________________________________________________________________
a² + b² = c<span>² ; in which: c = the distance from Joan's house to Kash's house;
                                    b = the distance from Kash's house to Gary's house;
                                    a = the distance from Gary's house to Joan's house;
_____________________________________________________________________
Our answer is the sum of: "a + b + c".
_____________________________________________________________________
Using the graph, we can the determine the values for: "a" and "b"; 
Using the Pythagorean theorem, we can determine the value for "c"; 
   then we can add: "a + b + c" to determine our answer.
_____________________________________________________________________
From inspecting the graph:
_____________________________________________________________________
</span> b = the distance from Kash's house to Gary's house = 8 mi. [miles] ;
 a = the distance from Gary's house to Joan's house =  5 mi. [miles] ;
__________________________________________________________
Using the Pythagorean theorem, we want to solve for "c":
__________________________________________________________
a² + b² = c² ; We substitute our known values for "a" and for "b" :
_____________________________________________________
5² + 8² = c² ;  Simplify:
_____________________________________________________
25 + 64 = c² ;

89 =  c² ; Take the positive square root of both sides to solve for "c"; 
_______________________________________________________
√89 = √(c²) ;  c = √89 = 9.4339811320566038
_______________________________________________________
Now, we can find our answer:
_______________________________________________________________
a + b + c = 5 + 8 + (9.4339811320566038) = 22.4339811320566038 mi.
                                                                   <span>→</span> Consider rounding to 22.43 mi. ;
                                                                              which is our answer.

_________________________________________________________________


Natasha_Volkova [10]2 years ago
3 0
The awnser is ten hope I helped you have to count how many spaces Joan travel to Gary and how many spaces he traveled from garb to kash
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