Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C. Find the distance
from town A to towAn C.
2 answers:
<h3>Answer: Approximately 9.219544 miles</h3>
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Explanation:
See the diagram below
We have a right triangle with legs of 6 and x. The hypotenuse is 11. Use the pythagorean theorem to solve for x
a^2+b^2 = c^2
x^2+6^2 = 11^2
x^2 + 36 = 121
x^2 = 121-36
x^2 = 85
x = sqrt(85) is the exact distance
x = 9.219544 is the approximate distance
units are in miles
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Answer:
The answer is 0.123.
Step-by-step explanation:
You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:
⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)
⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)
Either formula works, but I'm going to choose to work with the first formula.
Therefore:
P(Spade) =
P(Red/Spade) =
So:
P(Spade∩Red) = *
=
=