Answer:
C. ASA
Step-by-step explanation:
The details of the given parameters are;
Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,
Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF
Side
of ΔABC is congruent to side
of triangle ΔDEF
Two angles (∠B and ∠C) and the included side (side
) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side
) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency
we are given

where
F is the number of board feet
d is the diameter (in inches) of the log
Since, we have to minimize F
so, firstly we will find it's derivative


now, we can set it to 0
and then we can solve for d


so, we get diameter as
..............Answer
The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.
Given:
A scuba diver descends in the water at a rate of 23 1/2 feet per minute for 2.6 minutes.
A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.
To find :
The scuba diver's position relative to sea level after the 4.6 minutes.
Solution:
Rate of a scuba diver descending in the water for 2.6 minutes = 

Distance covered by a scuba diver in 2.6 minutes = 

Rate of a scuba diver ascending for 2 minutes = 

Distance covered by a scuba diver in 2 minutes = 

The position of scuba diver after 4.6 minutes relative to sea level:

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.
Learn more about ascending rate and descending rate here:
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