Answer:
Option A. 
Step-by-step explanation:
we know that
The area of the irregular figure is equal to the area of two trapezoids
The area of trapezoid is equal to

where
b1,b2 are the parallel bases
h is the perpendicular distance between the parallel bases
<u>Find the left trapezoid area</u>

<u>Find the trapezoid area on the right</u>

The area of the irregular figure is

Answer:
Step-by-step explanation:

180-39-55=86°
...........................
Based on the given data, the following formula will be useful;
Area of the base, A = pi*r^2
Lateral Area, A(l) = pi*r*sqrt of h^2 + r^2
Surface Area, A(s) = pi*r*(r+sqrt of h^2 + r^2)
Based on the given area of the base, the radius can be calculated and is equal to 3.9088 in. Based on the given lateral area, the h or the lateral edge can be calculated and is equal to 7.8785 in. Given all the information needed, and directly substituting to the above formula for surface area, SA is equal to 156 in^2 (option D)
Answer:

Step-by-step explanation:
The constraints are
The red line represents the function

At 

At 

Two points are 
The blue line represents the function

at 

at 

Two points are 
The other two constraints are
,
. So, the point has to be in the first quadrant
From the graph it can be seen there are two points where the function will be maximum let us check them.




So, the maximum value of the function is
.