Answer:
Surface area of the cube =
Step-by-step explanation:
Given shape in figure 1:
Cube with edge length = 5 cm
To find the surface area of the cube.
Solution:
The surface area of a cube is given by the formula:

where
represents the length of the edges of the cube.
For the given cube 
Plugging
in the formula to find the surface area of the cube.

∴ 
Given the fraction 5/12 and 9/16, the least common denominator can be get by giving the possible common multiples of 12 and 16.
12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
16 = 16, 32, 48, 64, 80, 96, 112, 128, ...
So looking above, the common are 48 and 86 but the smallest is 48.
So the LCD is 48.
Answer:
the longest side of the triangle?
Step-by-step explanation:
Answer:
Part 1) The rate of change is
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model

we have
substitute
