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
1/9
Find the common denominator, 1/3 can be multiplied to get to ninths. 1/3 is equivalent to 3/9, and so 4/9 minus 3/9 is 1/9.
The graph represents a parabola and a parabola is maximum or minimum at its vertex . So we need to check the graph , and find the point where the graph is maximum or minimum. And from the given graph , we can say that it is a downward up parabola which is minimum at its vertex . And the minimum point is (1.4). So the vertex is (1,4) .
Answer:
C. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.
Step-by-step explanation:
2x-y=12
-3x-5y=-5
multiply the first equation by -5
-10x +5y = -60
add the 2 equations together
-3x-5y=-5
-10x +5y = -60
-------------------------
-13x = -65
We use the addition property of equality which says adding the same thing to both sides, doesn't change the equation, so we will get the same answer as the original equation
Answer:
15π cm²
Step-by-step explanation:
The total lateral area of a cone
= πr√h² + r²
= √h² + r² = l
h = Height = 4cm
r = radius = 3cm
Hence:
= π × 3 √4² + 3²
= 3π × √16 + 9
= 3π × √25
= 3π × 5
= 15π cm²
