Answer: Lattice parameter, a = (4R)/(√3)
Step-by-step explanation:
The typical arrangement of atoms in a unit cell of BCC is shown in the first attachment.
The second attachment shows how to obtain the value of the diagonal of the base of the unit cell.
If the diagonal of the base of the unit cell = x
(a^2) + (a^2) = (x^2)
x = a(√2)
Then, diagonal across the unit cell (a cube) makes a right angled triangle with one side of the unit cell & the diagonal on the base of the unit cell.
Let the diagonal across the cube be y
Pythagoras theorem,
(a^2) + ((a(√2))^2) = (y^2)
(a^2) + 2(a^2) = (y^2) = 3(a^2)
y = a√3
But the diagonal through the cube = 4R (evident from the image in the first attachment)
y = 4R = a√3
a = (4R)/(√3)
QED!!!
Answer: The inequality required to express the above condition is x ≥ 18.75
Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.
The number of cases of 24 cans of sparkling water.
We can take the number of cases to be x.
Each case is said to cost $3.50.
An inequality for the number of cases that Renata's family go through in 24 days can be written as
x ≥ ⇒ x ≥ ⇒ x ≥ 18.75
Therefore the inequality required to express the above condition is
x ≥ 18.75
I manually graphed the equation
A) K=1/2C-3
K+C=18
Hope this helps! Have a great day :)