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Karo-lina-s [1.5K]
2 years ago
5

Item 4

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
5 0

Answer:

24

Step-by-step explanation:

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4) Use the distance formula to find the length of segment BC.
gogolik [260]

Answer:

5

Step-by-step explanation:

d= √(5-1)^2+(1-4)^2

d= √4^2+(-3)^2

d= √16+9

d=√25

d=5

8 0
3 years ago
Please help! (image is for question 3)
nika2105 [10]

The formula for the total sum of the inner angles of the polygon is

Sn= (n-2) 180°

1) S6= (6-2) 180 = 4*180 = 720° In the hexagon all angles are equal

α= S6/6= 720/6= 120°

2) In each polygon the sum of the external angles is 360°

3) S5= (5-2) 180 = 540° than  we can add up all angles

x+131+108+107+110=540 => x= 540-456= 84°

4) α = 360/5=72°

Good luck!!!


6 0
3 years ago
Read 2 more answers
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

#SPJ1

3 0
1 year ago
Malik bought chargers that are shaped like regular octagons. If the chargers have the dimensions shown below, what is the area o
vlada-n [284]
What are the dimensions?


7 0
3 years ago
Help please...........
Marrrta [24]
A point I hope this helps
3 0
3 years ago
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