Find the perimeter of a square if the length of its diagonal is 16 millimeters. round to the nearest tenth.

45.3 mm

Step-by-step explanation:

Use the basic 45-45-90 triangle with side length 1 as the building block here.  If the length of one side is 1, then the perimeter is 1 + 1 + 1 + 1, or 4, and the length of the diagonal is √2.

We are told that the length of the diagonal of the given square is 16 m.

Determine the length of one side of this square, using an equation of proportions:

 16        x

=

 √2       1

                                             16

Then (√2)x = 16, and x =

                                             √2

The perimeter of the given square (with diagonal 16 mm)  is 4 times the side length found above, or:

      16                      16

4 = (2)(2)  =  (2)(√2)(16) = 32√2 (all measurements in mm)

       √2                    √2

This perimeter, rounded to the nearest tenth, is 45.3 mm.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.