Answer:
36.5 inches
Step-by-step explanation:
Given
See attachment for the given data
Required
Which length is closest to 4.2lb
The given data is a linear dataset.
So, we start by calculating the slope (m)

Pick any two corresponding points from the table
So, we have:


So:




The linear equation is then calculated using:

This gives:

Open bracket


To get the length closest to 4.2lb,
we set 
Then solve for x
So, we have:


Collect like terms


Solve for x


Plot and connect the points A (2,-2), B(-4,-4), C (-4,-1), D (-2,3), E (1,3), F (2,5), and find the length of BC.
elixir [45]
Answer: 3 units
Step-by-step explanation B is 3 units away from C
simple
Answer:
Step-by-step explanation:
6) taking 45 degrees as the reference angle,
the adjacent side is √6
The opposite side is x
The hypotenuse is y
Therefore, we would apply trigonometric ratio.
Tan # = opposite side / adjacent side
Tan 45 = x/√6
1 = x/√6
x = 1 × √6 = √6
Cos # = adjacent side/hypotenuse
Cos 45 = √6/y
Cos 45 expressed in surd form is √2/2. Therefore,
√2/2 = √6/y
y √2 = 2√6
y = (2√6)/√2
For this case we have the following functions:

We must find
. By definition of compound functions we have to:

So:
Taking into account that:

Different signs are subtracted and the major sign is placed.

Finally we have to:

Answer:
