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N76 [4]
3 years ago
15

Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There we

re 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?
A-2/25

B-1/5

C-4/5

D-500/40
Mathematics
1 answer:
Savatey [412]3 years ago
9 0
The correct answer would be A, 2/25. 
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What is the length of BC , rounded to the nearest tenth?
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Step 1

In the right triangle ADB

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Step 3

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

cos(BAC)=cos (BAD)=\frac{5}{13}

cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}

\frac{5}{13}=\frac{AB}{AC}

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AC=(13*13)/5=33.8\ units

Step 4

<u>Find the length of the segment DC</u>

we know that

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we have

AC=33.8\ units

AD=5\ units

substitute the values

DC=33.8\ units-5\ units

DC=28.8\ units

Step 5

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

we have

BD=12\ units\\DC=28.8\ units

substitute the values

BC^{2}=12^{2}+28.8^{2}

BC^{2}=973.44

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BC=31.2\ units

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