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rodikova [14]
2 years ago
6

david is taller than chris, chris is shorter than anne, anne is as tall as sarah, sarah is shorter than david. who is the shorte

st?
Mathematics
2 answers:
dybincka [34]2 years ago
4 0
David > Chris
Chris < Annie
Annie = Sarah
Sarah < David
David is out since he is taller that Chris.
Anne is out since she is taller than Chris.
Sarah is out since Anne and Sarah are the same height.
Chris is the shortest, because he is shorter than Annie and Sarah, while Sarah and Annie are shorter than David, but Chris is shorter than Annie so Sarah applies too, Chris is shorter than Anne and Sarah.
Shortest ---> Tallest:
Chris, Anne, Sarah, David
AURORKA [14]2 years ago
3 0

This is a problem involving comparisons; when you have a problem like that, is a good idea to compare two things at the time.

Let's compare our subjects

- Since David is taller than Chris and Chris is shorter than Anne, Anne is shorter than David (or David is taller than Anne).

- Since Chris is shorter than Anne and Anne is as tall as Sarah, Chris is also Shorter than Sarah.

- Since Sarah is shorter than David and Chris is Shorter than Sarah, Chris is also shorter than David.

From the first and third sentences we can infer that Chris is shorter than David. From the second sentence we can infer that Chris is shorter than Anne. From the second sentence we can infer that Chris is shorter than Sarah. Chris is shorter than everyone!

We can conclude that the shorter person is Chris.

In addition, we can follow a similar pat to discover who is the tallest:

We already know that the shorter person is Chris; since Anne and Sarah are taller than David and David is taller than Anne and Sarah, David is the tallest person. Sarah and Anne tie in second place.

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frozen [14]

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The answer is: 83 + 12√35

(a + b)² = a² + 2ab + b²

In (2√5 + 3√7)², a = 2√5, b = 3√7

Just substitute a and b:

(a + b)² = a² + 2ab + b² = (2√5)² + 2 * 2√5 * 3√7 + (3√7)² = 

           = 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =

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Step-by-step explanation:

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3 years ago
Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which leaves 3 hours later, travels at
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Answer:

Step-by-step explanation:

We will make a table and fill it in according to the information provided. What this question is asking us to find, in the end, is how long did it take the cars to travel the same distance. In other words, how long, t, til car 1's distance = car 2's distance. The table looks like this:

              d     =      r     *     t

car1

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We can fill in the rates right away:

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Now it tells us that car 2 leaves 3 hours after car 1, so logically that means that car 1 has been driving 3 hours longer than car 2:

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car1                     40         t + 3

car2                     60           t

Because distance = rate * time, the distances fill in like this:

                   d      =      r      *      t

car1    40(t + 3)    =      40        t+3

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