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AysviL [449]
3 years ago
11

Car #1 travels 105 miles in 5 hours. Car #2 travels 252 miles in 3

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

21 miles/hour

Step-by-step explanation:

Let s= speed of car #1

s=105miles÷5hours

s=21 miles/hour

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So basically the ladder is creating a right triangle with the ground and the wall. Ladder is the hypotenuse (h), building = b, ground = g
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use Pythagorean Theorem to determine the length of h:
{c}^{2}  =  {a}^{2}  + {b}^{2}  \\  {h}^{2}  =  {(h - 22)}^{2}  + {1010}^{2}  \\ {h}^{2}  =  {h}^{2} - 44h + 484 + 1020100
The h^2 terms cancel out to = 0
0 = - 44h + 484 + 1020100 \\ 44h = 1020584 \\ 44h \div 44 = 1020584 \div 44 \\ h = 23195.1 \: feet
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3 years ago
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