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
The values of x and y are 45 and 8.
<h3>What is a Linear Pair of Angles?</h3>
When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.
Given:
Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.
As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.
To determine the values of x and y we equate the given angles to 90°.
2x = 90°
⇒ x = 45
And 11y+2 = 90°
⇒ 11y = 90-2 = 88
⇒ y = 8
To know more about linear pairs visit:
brainly.com/question/17525542
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You can't change the sum by changing the grouping. Any way you cut it, you will always get 226, as you only have addition operations, and the commutative property [a+(b+c)=(a+b)+c] means that the sum will always be the same.
15 gallons
hope this helps. not really sure what you mean by that.