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shusha [124]
2 years ago
9

PLEASE HURRY I WILL GIVE BRIANLIST Teagan believes she can use a division expression to find the amount of pizza each of 6 frien

ds will eat if they share Four-fifths of a pizza. Which statement best explains why Teagan is correct or incorrect?
1. Teagan is correct in using a division expression because Four-fifths is less than 1.
2. Teagan is correct in using a division expression because the question is about splitting a value into equal parts.
3. Teagan is incorrect in using a division expression because the term “of” in a math problem implies multiplication.
4. Teagan is incorrect in using a division expression because the total amount of pizza eaten is unknown.
Mathematics
1 answer:
Solnce55 [7]2 years ago
8 0

Answer:

The Answer to your question is 1.

Step-by-step explanation:

Teagan is correct in using a division expression because Four-fifths is less than 1.

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A blind man wanders under a door into an empty room. After running into the walls repeatedly for a while, it stops to think and
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From the side where the man is located in the 10' by 12' rectangular room, we have;

A) 0.046

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<h3>Which concept can be used to find the odds and time of escape?</h3>

A) From The given diagram, we have;

Width of the door = 10 - 6 - 2 = 2

Therefore, the door is 2 feet wide

Distance, d1, from the man to the side of the door closer to him is given by Pythagorean theorem as follows;

  • d1 = √(6² + 7²) = √(85)

From the furthest side of the door to the man, we have;

  • d2 = √(7² + 8²) = √(113)

According to the law of cosines, we have;

2² = 85+113 - 2×√(85)×√(113) cos(A)

Where angle <em>A </em>is the angle formed by the lines from the man to the closer and farther sides of the door.

2×√(85)×√(113) cos(A) = 85+113 - 2²

A = arccos((85+113 - 2²)/(2×√(85)×√(113)))

A = arccos (194/(2×√(9605)) ≈ 8.213°

The angle of the possible directions in which the man can turn is 180°.

Therefore;

The probability, <em>P(</em><em>E)</em>, of escaping in the first move is therefore;

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B) Given that the man escapes in the first move, the shortest and longest distances the man moves are;

d1 = √(85) and d2 = √(113)

Speed of the man, <em>v </em>= 0.5 cm/sec

Therefore by unit conversion function of a graphing calculator;

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The times taken are;

t1 = √(85)/(25/1524) ≈ 562.023

t2 = √(113)/(25/1524) ≈ 648.014.

Average time, <em>t </em>= (t1 + t2)/2

Which gives;

t = (562.023 + 648.014)/2 ≈ 605.02

The average time it takes the man to escape in first move is <em>t </em><em>≈</em> 605.02 seconds.

Learn more about Pythagorean theorem and probability here:

brainly.com/question/27180985

brainly.com/question/654982

brainly.com/question/24756209

#SPJ1

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Answer:

Try your best and never give up take a deep breath and focus on it

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