Acompany manufactures products a, b, and c. each product is processed in three departments: i, ii, and iii. the total available labor-hours per week for departments i, ii, and iii are 900, 1080, and 840, respectively. the time requirements (in hours per unit) and profit per unit for each product are as follows. (for example, to make 1 unit of product a requires 2 hours of work from dept. i, 3 hours of work from dept. ii, and 2 hours of work from dept. iii.) product a product b product c dept. i 2 1 2 dept. ii 3 1 2 dept. iii 2 2 1 profit $90 $60 $75

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus