Aright triangle has side lengths 4 units, 5 units, and x units. it is unknown if the missing length is the longest or shortest side. rounded to the nearest tenth, what is the difference between the possible values of x? 3.0 units 3.4 units 6.4 units 8.0 units

Answer

3.4 units

Explanation

The lengths of a triangle are; 2 units, 5 units and x units. These 3 are connected by a formula of Pythagoras theorem.

c² = a² + b²

Where c is the longest side, a and b are the legs of the rectangle.

When x is the longest:

∴ x² = 4² + 5²

       = 16 + 25

       = 41

x = √41

  = 6.4 units

When x is the shortest:

x² = 5² - 4²

   = 25 - 16

    = 9

x = √9

  = 3 units

Difference = 6.4 - 3

                 = 3.4 units

c is the final answer! : )

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.