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Alex17521 [72]
3 years ago
6

2 cars leave phoenix and travel along roads 90 degrees apart. If car 1 leaves 30 minutes earlier than car 2 and averages 42 mph

and if car 2 averages 50 mph how far apart will they be after car 1 has traveled 3.5 hours
Mathematics
2 answers:
ella [17]3 years ago
4 0
<span>Car 1 traveled 3.5 x 42 mph= 147
Car 2 traveled  3 x 50 mph= 150
The distance between them would be </span>√147^2 +150^2
siniylev [52]3 years ago
4 0

got the numbers wrong, sorry.

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soldier1979 [14.2K]

Answer:

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Step-by-step explanation:

4/5 can be multiplied by 20 to get 80/100. Percent is out of hundredths so it becomes 80%.

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The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

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(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
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Answer:

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For the second and fourth lines above, the two sides may or may not be equal.
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