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
Answer:
The value of x is 25°.
Here is your solutions too.
Answer:
m<ACB = 107*
Step-by-step explanation:
First we have to find the angle of m<CEB.
We know that the value of that angle plus m<CEP equals a total of 180, so we subtract the value that we have (147*) from 180 and we get 33*.
33* Is also the value of m<CAB.
33+40 = 43. 180-43 = 107.
The legs are 5 inches long.
Use the Pythagorean theorem:

The length of the hypotenuse of the triangle is approximately 7 inches long.
Answer: D. cylinder F. prism
Step-by-step explanation:
From the given figures in the options , only cylinder and prism have two congruent parallel bases.
- A cylinder is a solid figure which has the two congruent parallel bases i.e. circles.
- A prism is a solid shape that has two parallel congruent sides which are called bases and they are joined by the lateral faces that are parallelograms.
Rest of other options do not have congruent parallel bases.