Answer:
π/3
Step-by-step explanation:
We have to find the principal value of 
arc sin means sin inverse. The sin inverse is a one to one function with its range between 
The principal value of the arc sin will lie within the above given range.
value of sin (60) or sin(
) is
.
lies between 
So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3
Answer:
The graph with solution is shown below.
Step-by-step explanation:
We need to find the
and
for given equation.
For
, substitute 
Considering inequality sign as equality and simplifying,
, point is 
Similarly,
For
, substitute 
We get,
, point is 
We locate this two points on the graph now and join them.
The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.
Answer:
9
in²
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A =
( s is the length of a side )
Here s = 6, thus
A =
=
= 9
in²
Answer:
8
Step-by-step explanation:
average is calculated as
average = 
= 13 ( multiply both sides by 2 )
sum of 2 eldest = 26
Then for the 4 children
average =
=
= 8