Answer:
<h2>H = 60° </h2>
Step-by-step explanation:
To find angle H we use tan
tan ∅ = opposite / adjacent
From the question
The opposite is 2√21
The adjacent is 2√7
So that's
tan H = 2√21/ 2√7
H= tan-¹ 2√21/ 2√7
<h3>H = 60° </h3>
Hope this helps you
ANSWER

EXPLANATION
The room represents a rectangular prism or a cuboid.
The dimensions of the room are 30 feet by 16 feet by 8 feet(height).
The volume of a rectangular prism is

Substitute the given values

Simplify:

Hence the cubic feet of air in the room is 3,840ft³.
Your answer would be 74 if you are looking for the answer.
Well the slope would be m=-5/4 and the y-intercept would be 1 because of y=mx+b
Expand the expression as
(<em>s</em> + 1)³/<em>s</em> ⁵ = (<em>s</em> ³ + 3<em>s</em> ² + 3<em>s</em> + 1)/<em>s</em> ⁵
… = 1/<em>s</em> ² + 3/<em>s</em> ³ + 3/<em>s</em> ⁴ + 1/<em>s</em> ⁵
Then taking the inverse transform, you get
LT⁻¹ [1/<em>s</em> ² + 3/<em>s</em> ³ + 3/<em>s</em> ⁴ + 1/<em>s</em> ⁵]
… = LT⁻¹ [1/<em>s</em> ²] + LT⁻¹ [3/<em>s</em> ³] + LT⁻¹ [3/<em>s</em> ⁴] + LT⁻¹ [1/<em>s</em> ⁵]
… = LT⁻¹ [1!/<em>s</em> ²] + 3/2 LT⁻¹ [2!/<em>s</em> ³] + 1/2 LT⁻¹ [3!/<em>s</em> ⁴] + 1/24 LT⁻¹ [4!/<em>s</em> ⁵]
… = <em>t</em> + 3/2 <em>t</em> ² + 1/2 <em>t</em> ³ + 1/24 <em>t</em> ⁴