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TiliK225 [7]
3 years ago
10

Probability of landing in the white not the red. Please helpppppppppppp!

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Fun, geometry disguised as probability.

That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r.  So area of the pentagon is

P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6

The area of the circle is πr² so the circle area is

C = π (4²) = 50.265482

The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.

p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971

Answer: 0.25

Higher than I would have guessed from the figure.

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The answer to all 11.
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Answer:

The rate of the current is 2 miles per hour.

Step-by-step explanation:

Let us assume that the rate of the river is v miles per hour.

The speed of the boat is 12 miles per hour.

Let us assume also that the boat can go 21 miles in t hours in the downstream and 15 miles upstream at the same time i.e. t hours.

So, from the condition given we can write that  

12 + v = \frac{21}{t} ......... (1), and  

12-v =\frac{15}{t} ......... (2)

Now, adding those two equations we get  

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8 0
3 years ago
For each triangle, find the value of x and find the missing angle​(s)
Vikki [24]

Answer:

71° = m∠G

54° = m∠T

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Step-by-step explanation:

Use the Triangular Interior Angles Theorem to figure this out:

180° = [7x + 1]° + [6x - 6]° + 55°

180° = [−5 + 13x]° + 55°

180° = [50 + 13x]°

-50° - 50°

____________

\frac{130°}{13} = \frac{[13x]°}{13} \\ \\ 10° = x

You then plug this back into all three expressions to get 71° as the measure of ∠G and 54° as the measure of ∠T.

I am joyous to assist you anytime.

8 0
3 years ago
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9 \frac{11}{51}

And that's your answer!
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