Notice the picture below
so... a cube has all sides equal, so is just a rectangular prism with equal sides
and a rectangular prism is just 6 rectangles stacked up to each other at the edges
now, notice in the graph at the bottom, one of the rectangles with a thickness of 2inches
so... just get the volume of each, and add them up, that's how much metal is needed
9514 1404 393
Answer:
a. (5x+2)(5x+2)
Step-by-step explanation:
You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:
2(5x)(2) = 20x
This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.
25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)
_____
Generically, ...
(a +b)^2 = a^2 +2ab +b^2
Here, we have a=5x, b=2.
Answer:
im pretty sure its 20.4
Step-by-step explanation:
soery if im wrong
Saving of $2.10 is made by buying fleece vest on sale.
<u>Solution:</u>
Given that regular price of fleece vest = $15.99
And sale price of fleece vest = $13.99
Sales tax = 5%
When we buy at regular price, total amount including sales tax which needs to be paid is:
= 15.99 + 5% of 15.99
![\begin{array}{l}{\mathrm{A}_{\mathrm{R}}=15.99+5 \times \frac{15.99}{100}} \\\\ {\mathrm{A}_{\mathrm{R}}=15.99\left(\frac{105}{100}\right)=15.99 \times 1.05}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BR%7D%7D%3D15.99%2B5%20%5Ctimes%20%5Cfrac%7B15.99%7D%7B100%7D%7D%20%5C%5C%5C%5C%20%7B%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BR%7D%7D%3D15.99%5Cleft%28%5Cfrac%7B105%7D%7B100%7D%5Cright%29%3D15.99%20%5Ctimes%201.05%7D%5Cend%7Barray%7D)
When buy at sales price, total amount including sales tax which needs to be paid that is
![\begin{array}{l}{\mathrm{A}_{\mathrm{S}}=13.99+5 \% \text { of } 13.99} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99+5 \times \frac{13.99}{100}} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(1+\frac{5}{100}\right)} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(\frac{105}{100}\right)=13.99 \times 1.05}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BS%7D%7D%3D13.99%2B5%20%5C%25%20%5Ctext%20%7B%20of%20%7D%2013.99%7D%20%5C%5C%5C%5C%20%7B%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BS%7D%7D%3D13.99%2B5%20%5Ctimes%20%5Cfrac%7B13.99%7D%7B100%7D%7D%20%5C%5C%5C%5C%20%7B%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BS%7D%7D%3D13.99%5Cleft%281%2B%5Cfrac%7B5%7D%7B100%7D%5Cright%29%7D%20%5C%5C%5C%5C%20%7B%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BS%7D%7D%3D13.99%5Cleft%28%5Cfrac%7B105%7D%7B100%7D%5Cright%29%3D13.99%20%5Ctimes%201.05%7D%5Cend%7Barray%7D)
![\text { Saving made }=\mathrm{A}_{\mathrm{R}}-\mathrm{A}_{\mathrm{S}}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Saving%20made%20%7D%3D%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BR%7D%7D-%5Cmathrm%7BA%7D_%7B%5Cmathrm%7BS%7D%7D)
![\begin{array}{l}{=(15.99 \times 1.05)-(13.99 \times 1.05)} \\\\ {=1.05(15.99-13.99)} \\\\ {=1.05 \times 2=\$ 2.10}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%3D%2815.99%20%5Ctimes%201.05%29-%2813.99%20%5Ctimes%201.05%29%7D%20%5C%5C%5C%5C%20%7B%3D1.05%2815.99-13.99%29%7D%20%5C%5C%5C%5C%20%7B%3D1.05%20%5Ctimes%202%3D%5C%24%202.10%7D%5Cend%7Barray%7D)
Hence saving of $2.10 is made by buying fleece vest on sale.