Answer:
138 pairs
Step-by-step explanation:
The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:
(eq1)
The number of gray non-pleated is twice the number of blue non-pleated slacks, so:
(eq2)
The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:
(eq3)
(eq4)
If we add (eq1) and (eq2), we have:
(eq5)
Using (eq3) and (eq4) in (eq5), we have:
From (eq1), we have:
From (eq3), we have:
Answer:
Length of hypothenuse = 13 inches
Length of other leg = 5 inches
Step-by-step explanation:
A triangle has three sides and three angles. A right angle triangle has 90 degrees as one of the angles. The remaining two angles are complimentary. This means that the sum if the other two angles is 90 degrees.
The longest side is the hypotenuse. The shorter sides are the opposite and adjacent.
In this triangle, the hypotenuse is three inches more than twice the length of one leg. Let the length of one leg be x inches.
Hypothenuse = 2x + 3
The other leg is 12 inches.
The diagram is illustrated in the attached photo.
Applying Pythagoras theorem,
Hypothenuse ^2 = adjacent^2 + opposite ^2
(2x+3)^2 = 12^2 + x^2
(2x+3)(2x+3)= 144 + x^2
4x^2 + 6x + 6x + 9 = 144 + x^2
4x^2 - x^2 + 6x + 6x + 9 - 144 = 0
3x^2 +12x - 135 = 0
3x^2 +27x - 15x - 135 = 0
3x(x+9)-15(x+9)=0
(3x -15)(x+9) = 0
3x -15 = 0 or x+9= 0
3x = 15 or x = -9
x = 15/3 = 5
x = 5inches because it cannot be negative.
Length of hypothenuse = 2x + 3
= 2×5 + 3 = 10 + 3 = 13 inches
