Answer:
We know the angle given refers to the length of the opposite side.
Given angle = 82 and the opposite side = 34 so part of the relationship is
sin 82 / 34 = sin ( ) / ( )
We are also given one side = 27 and that side is opposite angle at C
so that part of the relationship is sin C / 27
sin 82 / 34 = sin C / 27
Answer:

Step-by-step explanation:
<u>The Volume of a Sphere
</u>
The volume of a sphere of radius r is given by:

A. )
If the diameter of the sphere is d, the radius is r=d/2. Substituting:

Operating

Simplifying

B.)
The diameter of the sphere is 2/3 cm, thus the volume is:

Operating:



Answer:
16
Step-by-step explanation:
f(x) = 2x² when x>4
We cannot use this expression of f to calculate f(4)
because ,this expression define f for the value of x
that are greater (not equal) than 4.
………………………………………………………
f(x) = 4x when x ≤ 4 , here x is can be equal to 4
(notice the sign ≤ )
Therefore
f(4) = 4 × (4) = 16
Answer:
Let, the c.p be x.
Given,
profit % = 20%
S.P = rs 816
c.p = x
We know,
profit = p% of c.p
=
* x
= 
now,
C.p = profit + s.p.
x =
+ 816
x = 
5x = x + 4080
5x-x = 4080
4x = 4080
x = 
x = Rs 1080
Hence, the c.p is Rs. 1080