Awindow is 21 inches wide, and its perimeter is 112 inches. what is the length of the window?

The length of the window is 35 inches.  

Step-by-step explanation:

Perimeter of an object can be found using the general formula:  P = 2W + 2L, where P = perimeter, W = width and L= length.  Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L':  112 = 2(21) + 2L, or 112 = 42 + 2L.  We can then use inverse (opposite) operations to isolate the variable and solve.  Whatever we do to one side of the equation, we do to the other.  We will start by subtracting 42 from each side:  112 - 42 = 42 - 42 + 2L or 70 = 2L.  Next, we divide both sides by 2 to solve for L:  70/2 = 2L/2 or L = 35.  So, the final length of the window is 35 inches.  

they are simplified

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12