Answer:
No, According to triangle Inequality theorem.
Step-by-step explanation:
Given:
Length given are 4 in., 5 in., 1 in.
We need to check whether with these lengths we can create triangular components.
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
These must be valid for all three sides.
Hence we will check for all three side,
4 in + 5 in > 1 in. (It is a Valid Condition)
1 in + 5 in > 4 in. (It is a Valid Condition)
4 in + 1 in > 5 in. (It is not a Valid Condition)
Since 2 condition are valid and 1 condition is not we can say;
A triangular component cannot be created with length 4 in, 5 in, and 1 in by using triangle inequality theorem (since all three conditions must be valid).
Answer:
I would choose A
Step-by-step explanation:
I chose A because it's an hypotenuse because of the different sides
Constraints are simply the subjects of an objective function.
The inequality that represents the constraint is: 
Represent the number of hats with x, and the number of scarves with y.
From the question, we have:
- He spends 12 hours to knit a hat
- He spends 6 hours to knit a scarf
So, the equation of the total time spent is:

This time spent is not more than 20 hours.
So, the inequality is

Hence, the inequality that represents the constraint is: 
Read more about constraints at:
brainly.com/question/24574823
The formula
a(n) = 2 - 5(n-1)
is in the form
a(n) = a1 + d(n-1)
where
a1 = first term = 2
d = -5 = common difference
The first term is carried over to the recursive formula. We start with a1 = 2. The next term after that is found by subtracting 5 from the previous term. So
second term = (first term) - 5
third term = (second term) - 5
and so on
The recursive step would be
a(n) = a(n-1)-5
So that's why the answer is choice C