Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as 
, where 
and 
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at 
.
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
If one of the exterior angles is 40, you can find its adjacent interior angle by subtracting 40 from 180. This is 40, so the triangle has 2 interior angles that are equal to 40. Now we have 2 of 3 interior angles. The sum of the measures of the interior angles of a triangle is 180, so we can set this equation up:
x + 40 + 40 = 180
x + 80 = 180
x = 100
So the triangle's angles have measures of 40,40 and 100 degrees.
Step-by-step explanation:
1 garm = $50.04
7.5 gram = 50.04 × 7.5 = $375.3
Answer:
28 degrees
Step-by-step explanation:
152 is the exact same measure as angle 2.
To get to 180 you have to add 152 + angle 1
Angle one is the same as angle 3.
180 - 152 = 28
Hope this helps
Answer: 18
Step-by-step explanation: 5m - 7 = 6m + 11
Solve for M
5m - 6m = 11+ 7
-m = 18
Divide both sides by -1
-m/-1 = 18/-1
m = -18
