A carpenter has boards of lengths 24, 40, and 48 inches that must be cut into smaller boards of equal length, with no scrap wood
1 answer:
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Answer:
Addition Property of Equality
Step-by-step explanation:
So we had:
And then we got:
We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:
Since we added 2 to both sides, this is an example of the addition property of equality.
<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>
Answer:
1) There is no maximum height
2) The ball will never land
Step-by-step explanation:
<u>Derivatives</u>
Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.
Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that
If f''(a) is positive, then x=a is a minimum
If f''(a) is negative, then x=a is a maximum
1)
The function provided in the question is
Let's find the first derivative
solving h'=0:
x=3
Computing h''
h''(x)=4
It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height
2)
To find when will the ball land, we set h=0
Simplifying by 2
Completing squares
Factoring and rearranging
There is no real value of x to solve the above equation, so the ball will never land.
This problem seems to be wrong because no minimum point was found and no point of landing exists
Answer:
10.
8.
Step-by-step explanation:
10. each step is 36, so i added it twice to get 72.
then add 16 twice = 32
this gives us two sides to our triangle.
We can now use tan since we know opp and adj
tan 32/72 = .44
arctan = 23.75
8. since we again know the opposite and adjacent sides to the angle e are trying to find we can use tan again.
tan 12.5/18 = .694
arctan= 34.76
Answer:
5/6
5/6 Is the simplified answer the unsimplified answer is 15/18
