A cell phone producer distributes boxes of units to retail stores. A unit is either a cell phone or an accessory and each box has to have at least 8 units, but no more than 24 units. Additionally, each box can weigh at most 55 pounds. The box itself weighs 5 pounds and there is 1 pound of packing material. Cell phones weigh 3 pounds and accessories weigh 2 pounds. If x represents the number of cell phones in a box and y represents the number of accessories:

a) Write a system of inequalities that represents the constraints on the number of units that can be included in one box.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

did u ever get the answers? i need