Please help me with # 1
1 answer:
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Answer:
Height of the box = 11.5 in
Step-by-step explanation:
Let h be the height of the box.
Assuming the volume of the Box is .
Given:
Length = Height - 4 = h - 4
Width = 3 in
We need to find the height of the box.
Solution:
We know that the volume of the box.
Substitute all given value in above formula.
Rewrite the equation as:
whole equation divided by 3.
Use quadratic formula with
Put these a, b and c value in above equation.
For positive sign
h = 11.5 in
For negative sign
h = -7.5
We take positive value of h.
Therefore, the height of the box h = 11.5 in
Answer:
<em>-26</em>
Step-by-step explanation:
Given the sequence:
16, 9, 2, –5, ...,
To find:
7th measurement, if the above sequence continues:
Solution:
Let us examine the given sequence first:
First term is 16
Second term = 9
Third term = 2
Fourth term = -5
Difference between 2nd and 1st term = 9 - 16 = -7
Difference between 3rd and 2nd term = 2 - 9 = -7
Difference between 4th and 3rd term = -5 - 2 = -7
We can see that there is a common difference of -7 between each term.
That means, the sequence is in Arithmetic Progression.
whose first term,
Common difference,
To find:
7th term i.e.
Solution:
Formula for term of an Arithmetic Progression is given as:
Let us put
7th measurement will be <em>-26.</em>
The answer would be 60.98
