Hello please pretyy
2 answers:
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The probability of winning the game is 0.065
<h3>The description of the game</h3>The game involves throwing two darts at two targets.
To win the game, the darts must hit anywhere in the following shapes
- Rectangle: 5 by 4 inches
- Circle: Radius, r = 3 inches
The area of the paper is:
Area = 8.5 inches * 11 inches
Area = 93.5 square inches
The area of the rectangle on the paper is:
Area = 5 inches * 4 inches
Area = 20 square inches
The area of the circle on the paper is:
Area = π * (3 inches)²
Area = 28.3 square inches
The probability of landing on both shapes is
P(Both) = 20/93.5 * 28.3/93.5
Evaluate
P(Both) = 0.065
Hence, the probability of winning the game is 0.065
Read more about probability at:
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Answer:
Step-by-step explanation:
Because vertical angles are always equal, we want to solve .
We can add 10 to both sides to get .
We can subtract from both sides to get
.
Lastly, we divide both sides by 20 to get .
So, and we're done!
The check is left as an exercise to the reader.