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Monica [59]
3 years ago
14

If I traveled 32 miles in 45 minutes, how long will I travel in one hour at the same rate?

Mathematics
2 answers:
Bad White [126]3 years ago
5 0

Answer:

32 X 60 : 45 = 42,6

42,6 miles in 60 minute

1 hour= 60 minute

cross product:

<u>miles</u>:         32     | ?

             ------------|-----------

<u> time: </u>           45   | 60

Blababa [14]3 years ago
3 0

Answer:

42 2/3 miles

Step-by-step explanation:

We want write ratios to solve

We want the same units so change 1 hour to 60 minutes

32 miles             x miles

----------------- = -----------------

45 minutes          60 minutes

Using cross products

32 * 60 = 45x

Divide each side by 45

1920/45 = 45x/45

42.6(repeating) = x

42 2/3 miles

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest
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),

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                                                            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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