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torisob [31]
3 years ago
15

Which set of values could be the side lengths of a 30-60-90 triangle?

Mathematics
2 answers:
yulyashka [42]3 years ago
7 0
C). 6*6√2*12 is your answer.... i think 
Nadusha1986 [10]3 years ago
4 0
First of all, with 30-60-90 triangles, we know this ratio applies:

Shortest side: middle length side: hypotenuse
           1          :             √3              :         2

Therefore, with this is mind, the only correct answer out of a,b,c and d is b. 

Finally, to further prove b is correct, let us check with the ratio:

Ratio:           1          :             √3              :         2
Option b      6         :             6√3           :         12

So as you can see, Option b matches with the 30-60-90 ratio.
(Each ratio number can be divided by 6 to get the 30-60-90 ratio.)

Hope this helps!
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In a certain soccer tournament you play 6 games. In every match you get 3 points if you win, 1 point for a draw and 0 points if
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Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

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The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

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P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

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