Answer:
The dimensions of the rectangular box, x = y = z = 0.817 cm
Step-by-step explanation:
Given;
total surface area of the rectangular box or cuboid = 4 cm²
A rectangular box with largest volume is a cube.
The total surface area of a cube = 6 times square of one edge length.
Let the edge length = given dimensions, x, y, z
x = y = z
6x² = 4
x² = 4/6
Therefore, the dimensions of the rectangular box, x = y = z = 0.817 cm
Let the year represents x axis and consumption represents y axis.
Since 2010 is the initial year, x=0
and 2013 is third year , so x=3
Co-ordinates are (0,8.938)(3,10.480)
Exponential formula is
Putting the value of x in the above formula from 1st coordinate,
As = 1
this gives a= 8.938
Now using the 2nd coordinate
putting the value of a in it we have
taking cube roots on both sides we get
b= 1.05448
Now putting the values of a and b in the exponential formula-
In the year 2028, x=28
so,
y= 39.474
Hence oil consumption per day in 2028 will be 39.474 million barrels.
Answer:
12
Step-by-step explanation:
These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.
Side AR and Side TE are corresponding. Use this proportion.
This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.
We know that RS+ST=21
And that RS=3/4(ST).
x=12.
Side ST is 12