Answer:
The minor arc HK is 60 degrees
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The inscribed angle is half that of the arc it comprises.
so

we have

substitute the given value


Remember that the measure of the minor arc must be less than 180 degrees
therefore
The minor arc HK is 60 degrees
The 2 lines intersect, and by definition it will create equal opposite angles. Since we know that the angle created is 125 degrees, then the angle on the opposite side also must equal 125 degrees. But wait, they broke up the angle into 2 angles made up of a 64 degree angle and an X degree angle. These 2 angles must add up to 125 degrees.
x + 64 = 125
x = 125 - 64
x = 61 degrees
Answer:
The minimum value for
is
.
Step-by-step explanation:
Given function is 
We need to find the maximum value or the minimum value for the function.
Now, differentiate
w.r.t
.


Now, we will equate
to find critical point.

Plug this critical point in to the function
we get,

Also,
which is positive, We have minimum value.
So, the minimum value for
is
.
Answer:
24 cm³
Step-by-step explanation:
V = LWH = 2 × 3 × 4 cm³ = 24 cm³