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bonufazy [111]
3 years ago
15

A garage door opener has a ten number keypad. Codes to open the door must consist of 5 digits with no adjecent digits the sane.

How many codes are possible?
Mathematics
1 answer:
grigory [225]3 years ago
5 0

1st slot: 10 possibilities  

2nd slot: 9 possibilities  

3rd slot: 9 possibilities  

4th slot: 9 possibilities  

5th slot: 9 possibilities  

10 * 9 * 9 * 9 * 9 = 65610 Possibilities

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Answer:

90

Step-by-step explanation:

First, we should find the area of the trapezoid, and then subtract the area of the removed triangle in order to find the shaded area.

Area of the trapezoid

1) Area of the rectangle in the middle.

Base Length: 10

Height Length: 10

Area: 10 x 10 = 100

2. Area of the triangles on the side

Base Length: (14 - 10)/2 = 2

Height Length: 10

Area: 2 x 10 x 1/2 = 10

There are two triangles: 10 x 2 = 20

Area of the trapazoid: 100 + 20 = 120

Area of the triangle that's been removed

Base Length: 10

Height Length: 10 - 4 = 6

Area: 10 x 6 x 1/2 = 30

Shaded area

Area of the trapezoid - Area of the triangle

120 - 30 = 90

Area of the shaded region is 90.

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If 3/7 is written as a decimal,will the digits after the decimal repeat
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