A rectangle by 170 square inches. :)
Answer:
HL, LL, SSS, SAS
Step-by-step explanation:
HL is the hypotenuse-leg theorem. It states that if the hypotenuse and leg of one triangle are congruent to the hypotenuse and corresponding leg of another triangle, the triangles are congruent. We have that both legs of the triangles are congruent as well as the hypotenuse, so the HL theorem applies.
LL is the leg-leg theorem. It states that if both legs of one right triangle are congruent to both legs of the second triangle, the triangles are congruent. We have that both legs are congruent; this is the LL theorem.
SSS is the side-side-side theorem. It states that if all three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. All three sides of both triangles are congruent, so this is the SSS theorem.
SAS is the side-angle-side theorem. It states that if two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the triangles are congruent. We have JL≅QS, ∠L≅∠S and LK≅SR. This is the SAS theorem.
Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.
The polynomial is;. 3w³ + 22w + 24w = 5440ft³.
From the question;
- <em>Let the width = w</em>
- <em>length,</em><em> </em><em>l</em><em> = 3w + 4</em>
- <em>height,</em><em> </em><em>h</em><em> = w + 6</em>
<em>The </em><em>volume </em><em>of </em><em>a </em><em>rectangular</em><em> </em><em>prism </em><em>is </em><em>given </em><em>by </em><em>the </em><em>product </em><em>of </em><em>its </em><em>length,</em><em> </em><em>width </em><em>and </em><em>height.</em><em> </em><em>Thus</em><em>;</em>
Volume = l × w × h
Therefore, Volume, V = (3w +4) × w × (w +6)
To obtain the required polynomial, we expand the expression for Volume above;
<em>V = (3w² + 4w) × (w + 6)</em>
<em>V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.</em>
However, the volume of the rectangular prism has been given to be 5440 cubic feet.
Therefore, the polynomial is;
3w³ + 22w + 24w = 5440ft³.
Read more:
brainly.com/question/9740998
Answer:
12 months
Step-by-step explanation:
Given data:
Before joining club 6 books read
3 books every month
total books read 42
books read after joining the club = 42 - 6
books read after joining the club = 36
Months she has in book club = 36/3
Months she has in book club = 12 months
