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vovikov84 [41]
3 years ago
10

Ross and Ronnie are late for their favorite show . Ross walks around a rectangular park with dimensions of 150 ft by 215 ft. Ron

nie decides to cut across the park in a diagonal path. Who walks the shortest distance and by how much? *
Mathematics
1 answer:
sashaice [31]3 years ago
6 0

Answer:

Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft

Step-by-step explanation:

The image attached represent the rectangular park. In this case, the dimensions are;

AB = CD = 215 ft

AC = BD = 150 ft

Total distance walked by Ross = AB + BD = 215 + 150 = 365 ft

Distance walked by Ronnie = AD

∠ABD = right angle triangle, using pythagoras rules;

AD² = AB² + BD²

AD² = 215² + 150²

AD² = 68725

AD = √68725

AD = 262.15 ft

Distance walked by Ronnie = 262.15 ft

Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft

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I NEED ANSWER ASAP! I WILL GIVE BRAINELIEST!!!!!! Construct a right triangle whose legs are in the ratio 3:4. What are the ratio
Gala2k [10]

Answer:

3 : 5, 4: 5

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, lengths of the legs of right triangle would be 3x and 4x

By Pythagoras Theorem:

{hyp}^{2}  =  {(3x)}^{2}  +  {(4x)}^{2}   \\  = 9 {x}^{2}  + 16 {x}^{2}  \\  = 25 {x}^{2}  \\  hyp =  \sqrt{25 {x}^{2} }  \\ hyp = 5x \\  \\ ratios \:  of each \:  leg  \: to  \: the \:  hypotenuse \\  \frac{3x}{5x}  = 3  : 5 \\  \\  \frac{4x}{5x}  = 4 : 5

5 0
3 years ago
1. Solve the equation using the zero-product property.<br> -x(5x – 4) = 0
Oxana [17]

Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

  • Here our a term is -x and our b term is (5x - 4)
  • Setting each term equal to zero and solving for x we get
  • -x = 0 → x = 0
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6 0
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Answer:

-$1000

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The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

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3 years ago
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