ElectricPavlov

No worries.....   I make a lot of mistakes !

Hmmmm     2/15  * 49 pi = 20.53   in²       via my calculator......

Also I used  4pi/15         your question   had   4 pi 15       ....  Which is it supposed to be?

   since it asks for a fraction answer , I'm thinking it might be something different.....

    Maybe in terms of pi?

  2/15  x 49 pi =   98/15  pi     ( 6  8/15) pi

volume of a cone   =    1/3  pi r^2 h      r = 2.3   h=15 m       Have at it !  

Use law of cosines to find the 3rd side length

   then use Heron's Rule to calcualte the area of a triangle given three side lengths.

Or drop a vertical from the apex......use law of sines to find height  (2.44)      then area = 1/2  b x h   = 1/2   * 5.6  * 2.44    yd²

Area of WHOLE circle   =  pi r^2  =  49 pi   in²

Central angle of  4pi/15   radians is a FRACTION of  the total  of  2 pi radians

      4pi/15  /  2pi     =  2/15   fraction of the TOTAL area

2/15  x  49 pi = .........  in²   

You got a good start !

For the box that is in the Venn

  you are told     48 + x  =  3 (12+x)      

                           48 + x = 36 + 3x

                             12 = 2x

                               x = 6       for the box in the Venn   

THEN add up all of the numbers in the Venn       these are the farms that grow beets and /or potatoes    subtract this number from 100 to find the number for the lower left corner.....the number that do NOT grow potatoes or beets.

3.2 x 9.1   x  10^(-28+43)

You could use intersecting chord theorem:

the diameter chord has   2 segments     8    and   2

the unknown chord has two 2 segments   x   and  x

8*2   =  x*x

16 = x^2             x = 4

14.88  +.06(3)   +  .06x    =   15.38 - .12 x      solve for 'x' the number of hours until they are equal

15.06 + .06x   = 15.38-.12x

.18x = .32

x = 1.77 hr        ~ 1 hr  47 min

Circumference of circle of which arc is a part is    pi x d  = 80 pi

fraction of the circumference   18/360

18/360 x 80 pi = .......