The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium.
<h3>Can this atrium be built in the rectangular plot of land?</h3>
The atrium with the <em>maximum allowable</em> radius (<em>R</em>), in feet, is represented in the image attached. The <em>real</em> atrium is possible if and only if the <em>real</em> radius (<em>r</em>) is less than the maximum allowable radius and therefore, the <em>real</em> volume (<em>V</em>), in cubic feet, must be less than than <em>maximum possible</em> volume (<em>V'</em>), in cubic feet.
First, we calculate the volume occupied by the maximum allowable radius:
<em>V' =</em> (8 · π / 3) · (45 ft)³
<em>V' ≈</em> 763407.015 ft³
The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium. ![\blacksquare](https://tex.z-dn.net/?f=%5Cblacksquare)
To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/13338592
Answer:
The net sales for last month were <u>$19,525</u>.
Step-by-step explanation:
Given:
Last month sales were $24,000.
Discounts is $3,500 and $975 in returns.
Now, to get the net sales for last month.
So, we deduct the discount:
<em>Sales - discounts</em> = ![\$24,000 - \$3,500 =\$20,500.](https://tex.z-dn.net/?f=%5C%2424%2C000%20-%20%5C%243%2C500%20%3D%5C%2420%2C500.)
Then, we deduct the returns from the remaining amount:
<em>Sales after discounts - returns</em> = ![\$20,500 - \$975](https://tex.z-dn.net/?f=%5C%2420%2C500%20-%20%5C%24975)
= ![\$19,525.](https://tex.z-dn.net/?f=%5C%2419%2C525.)
Therefore, the net sales for last month were $19,525.
((800+100+400+35)÷3,250)×100
=41%
Hello :
all points <span>lies on a circle with a radius of 5 units and center at P(6, 1)are :
M(x,y) : (x-6)² + (y-1)² = 25</span>