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sveticcg [70]
3 years ago
11

How many numbers greater than 10 and smaller than 25 with distinct digits can we make by using two of the digits 2, 0, 1, and 8

?
Mathematics
1 answer:
saul85 [17]3 years ago
5 0

Answer:

Only four numbers can be formed

Step-by-step explanation:

We are to make numbers greater than 10 and less than 25

Distinct digits should be there

As such all numbers lying between 10 and 25 are

11,12,.....24

Of these the conditions are only 2, 0, 1 , 8 should be used.

First digit cannot be 0 or  8 because we want two digit numbers between 10 and 25

So first digit can be either 1 or 2

If first digit is 1, second digit can be either 2 or 8 i.e. only 12, 18

If first digit is 2, second digit can be 0 or 1 cannot be 8 i.e. only 20 , 21

Only 4 numbers can be formed

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Answer:

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Step-by-step explanation:

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Sum of given angles = 164+90 = 254

Thus, the value of x is the angles remaining from 254 to make 360

360-254 = 106

Hope this helps

Good luck

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maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

                 Given diagram is combination of Rectangle and Semi circle.

Step:1

         Res the attachment,

                      Area of given diagram = Area of A + Area of B..............(1)

Step:2

         For A,

         The A section in the given diagram is semi circle,

                     Diameter of semi circle = Total distance - ( 2+3)

                                          ( ∵ 2, 3 are top distance in the given diagram)

                                                             = 10 - 5

                                        Diameter, d = 5 cm

                                             Radius, r = \frac{d}{2}

                                                          r = \frac{5}{2}

                                                         r = 2.5 cm

                                          Area, A_{A}  = \frac {\pi r^{2} }{2}........................(2)

                                                    A_{A}  = \frac {\pi (2.5)^{2} }{2}  

                                                           = \frac {\pi ( 6.25) }{2}

                                                           = \frac{19.63}{2}

                                                     A_{A} = 9.8174 cm^{2}

Step:3

               For B,

               Area of rectangle is,

                                                      A_{B} =lb.....................(3)

              Where, l - Length = 10 cm

                          b - Width = 2 cm

              Equation (3) become,

                                                            = (10)(2)

                                                            = 20

                                    Area of B, A_{B} = 20 cm^{2}

Step:4

               From the equation (1),

                               Area of given diagram = 20+ 9.81747

                                                            Area = 29.817 square centimeters

Result:

            The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

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