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Oliga [24]
2 years ago
9

The measure of an angle is 153.2°. What is the measure of its supplementary angle? Submit

Mathematics
1 answer:
devlian [24]2 years ago
6 0

Answer:

26.8°

Step-by-step explanation:

You find the supplementary angle by 180° - 153.2° = 26.8°

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Select from the drop-down menus to correctly complete each statement. −20>−21 −19>−20 −21 is located to the of −20 on a nu
LekaFEV [45]

Answer:

  left, right

Step-by-step explanation:

If you use the < or ≤ symbol to compare the numbers, their left-right order is the same as on the number line. Here, we would write the ordering as ...

  -21 < -20 < -19

So, we see that ...

  -21 is <em>left</em> of -20 on the number line

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3 years ago
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Rational Number, Real Number
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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
Nostrana [21]

From the side where the man is located in the 10' by 12' rectangular room, we have;

A) 0.046

B) The average time to escape in first attempt is approximately 605.02 seconds

<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;

  • P(E) = 8.213°/180° ≈ 0.046

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;

  • v = (25/1524) ft./sec

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

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3 0
1 year ago
Which number is divisible by 6 A 102 B 611 C 613 D 614
kherson [118]

Answer:

A. 102

Step-by-step explanation:

102/6 = 17

611/6 = 101.83333....

613/6 = 102.1666...

614/6 = 103.3333......

4 0
3 years ago
ihelp me unerstand &gt; i convert 8/25 into decimal &gt;32/100 - and because 100 had two zeros. I place the decimal over 2 place
agasfer [191]
8/25....." / " simply means division

so 8 divided by 25 = 0.32
7 0
3 years ago
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