PLEASE HELP ME WITH THESE EXERCICES

Mathematics
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Oct 11th, 2014

10.    rise = 800 m      run = 6 km = 6000 m 

     slope = 800/6000

     slope = 8/60 = 0.133

     grade = 0.133 * 100

               = 13.3 %

11.(a)        grade = 52% means      rise = 52 m    run = 100 m

         rise : run : : rise : run

         52 m : 100 m : : rise : 243 m

         52/100 = rise/243

         rise = 243 * 52/100

         rise = 126.4 m

12.       rise = 4 ft         run = 1 ft

If            rise = 26 ft   then    run = ?

              rise : run : : rise : run

              4 ft : 1 ft : : 26 ft : run

              4/1 = 26/run

              4 = 26/run

              run = 26/4

              run = 6.5 ft

13.         rise = 20 cm      run = 25 cm

If            rise = 3 m = 300 cm    then   run = ?

              rise : run : : rise : run

              20 cm : 25 cm : : 300 cm : run

              20/25 = 300/run

              0.8 = 300/run

              run = 300/0.8

              run = 375 cm

14.   (5,3)     and     (10,6)

    slope = Y2 - Y1 / X2 - X1

              = (6 - 3) / (10 - 5)

    slope = 3 / 5

    or 

    slope = 0.6

Oct 11th, 2014

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