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marta [7]
3 years ago
9

HELP WORTH 99 POINTS IM SO CONFUSED.

Mathematics
2 answers:
Vadim26 [7]3 years ago
7 0

Answer:

Area of Large Circle = 380.13

Area of Small Circle = 254.47

Area of Sidewalk = 125.66

Step-by-step explanation:

The side walk is just subtracting the smaller number from the bigger one.

The area is just Pi*r^2

andrey2020 [161]3 years ago
6 0

Answer:

A  379.94 m^2

B 254.34 m^2

C 125.6 m^2

Step-by-step explanation:

A  Area of a circle is given by

A = pi r^2

We know the radius is 11

A = pi 11^2

A = 3.14 (121)

A = 379.94 m^2

B The Area of the orange circle

A = pi r^2

The radius is 9 m

A = pi 9^2

A = 3.14 (81)

A = 254.34 m^2

C  The Area between the circles is the difference between the large circle and the small circle

Ablue-Aorange

379.94-254.34

125.6 m^2

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Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing
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Answer:

a)

A={RRR,SSS,LLL}

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B={RSL,SLR,LRS,RLS,SRL,LSR}

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C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

Step-by-step explanation:

Sample space=S= {RRR, RRL, RRS, RLR, RLL, RLS, RSR, RSL, RSS, LRR, LRL, LRS, LLR, LLL, LLS, LSR, LSL, LSS, SRR, SRL, SRS, SLR, SLL, SLS, SSR, SSL, SSS}

a)

Let A be the event that all three vehicles go in same direction. It means that the all three vehicles go to right or left or straight. Thus, event A can be represented as

A={RRR,SSS,LLL}

b)

Let B be the event that all three vehicles go in different direction. It means that the three vehicles can go to

1. Right, Straight, Left

2. Straight, Left, Right

3. Left, Right, Straight

4. Right, Left, Straight

5. Straight, Right, Left

6.  Left, Straight, Right

Thus, event B can be represented as

B={RSL,SLR,LRS,RLS,SRL,LSR}

c)

Let C be the event that exactly two of three vehicles turn right. It means that the three vehicles can go to

1. Right, Right , Left

2. Right , Left, Right

3. Left, Right, Right

4. Right, Right , Straight

5. Straight, Right,Right

6.  Right , Straight, Right

Thus, event C can be represented as

C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

Let D be the event that exactly two of three vehicles go in same direction. It means that the three vehicles can go to

1. Right,  Right, Left

2. Right, Right, Straight

3. Right, Left,  Right

4. Right, Left, Left

5. Right, Straight, Right

6. Right, Straight, Straight

7.  Left,  Right, Right

8. Left,  Right, Left

9. Left, Left, Right

10. Left, Left, Straight

11. Left, Straight, Left

12. Left, Straight, Straight

13. Straight, Right, Right

14. Straight, Right, Straight

15. Straight, Left, Left

16. Straight, Left, Straight

17. Straight, Straight, Right

18.Straight,Straight, Left

Thus, event D can be represented as

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

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D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

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