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Setler79 [48]
3 years ago
6

"suppose that you have measured a length of 6 cm on one board and 8 cm on the other. you would adjust the two boards until the l

ength of the string had value c to ensure that the boards made a right angle. what is c?"

Mathematics
1 answer:
madam [21]3 years ago
7 0
The lengths of the boards are 6 cm and  8 cm.

The boards make a right angle.
Therefore the string connecting the boards is the hypotenuse of a right triangle (shown n the figure).

By the Pythagorean theorem,
c² = 6² + 8² = 100
c = 10 cm

Answer: c = 10 cm

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Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

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Time for which signal shows green light = 4 minutes = 4 \times 60 seconds = 240 seconds

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Now, let us have a look at the formula for probability of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }

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