<h2>
Explanation:</h2>
A cube is a prism whose sides all have the same length. You can think of a cube like the three dimensional version of a square. In this problem, we know that Mary is using a microscope in order to look at a salt crystal and discovers it is shaped like a cube. Each square face has side length:
This diagram is shown in the first figure below. A crystal's square face is one of the six faces of the cube. So in order to draw it we need to know how many units we'll have in each side. Since we know that 1 unit on the grid represents 0.01mm, then:
So we will have 10 units that measure 0.01mm in each side. This is shown in the second figure below.
To solve this problem, we need to know that
arc length = r θ where θ is the central angle in radians.
We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3
Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
Answer:
Therefore the value of tangent of ∠
is 
°.
Step-by-step explanation:
Given that,
In Δ
, ∠
°, 
and 
and we have to find the value of tangent of ∠
Diagram of the given triangle is shown below:
Now,
Δ is a right angle triangle, so we can use all the trigonometric ratio.
= 
tangent of ∠ =
= 
= 
= 
∴∠ = 
= 
° ≅ °
Therefore the value of tangent of ∠ is °.
