Answer:

Step-by-step explanation:
We know that:


Remember:
450°=360°+60°
and:

Thus:

Then:

Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by 
surface area of sphere is given by 
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,

Thus, radius of sphere is 3 units.
To find the volume of a regular hexagonal prism, we can use the formula V = 3ash, where a = apothem length, s = length of a side of the base, and h = height of the prism.
Answer:
C. increases rapidly.
Step-by-step explanation:
tan(θ) = sin(θ)/cos(θ)
Now, when sin 90 = 1
and cos 90 = 0
so, tan(90) = 1/0 = not defined.
<em>(1/0 is infinity and its value is not defined)</em>
So, when angle θ increases to 90°, then the value of tan(θ) increases rapidly, as shown in the figure below.
Answer:
Step-by-step explanation:
(3g - 7)/k = p
3g - 7 = pk
3g = pk + 7
g = (pk + 7)/3