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Ratling [72]
3 years ago
9

A bungee jumper dives from a bridge over a river. The function ℎ(푡) = −16푡 % +5푡 +250 gives the approximate height h in feet of

the jumper until he hits the water for the first time. The variable t is measured in seconds.
Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0

Answer and Explanation:

Given the function:

ℎ(t)= −16t+5t+250

Where the variable t is measured in seconds. We can plug in t=20 seconds in the function to measure the height in feet of the bungee jumper after 20 seconds.

h(t)= -16×20+5×20+250

h(t)= -320+100+250

h(t)=350-320

h(t)= 30feet

height in feet of the bungee jumper after 20 seconds = 30 feet

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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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