×imagine this is a flattened pyramid box. When you fold along the dotted lines you can see which sides are equivalent.
Add up the areas of each piece.
Two identical rectangular pieces 7 × 10
2(7)(10) = 140
One small rectangular piece 6 × 7
7(6) = 42
Two identical triangles
2(0.5)(6)(8) = 48
Add up all the pieces
140 + 42 + 48 = 230
A(n)=ar^(n-1) so
100=4r^9
25=r^9
ln25=9lnr
ln25/9=lnr
r=e^(ln25/9)
a(n)=4e^((n-1)(ln25/9) if you wanted an approximation...
a(n)=4(1.43^(n-1))
Answer:
Step-by-step explanation:
Radius = r = 3 in.
Height = h = 2 in.
<u>Volume:</u>
![\sf Volume \ of \ the \ cylinder = \pi r^2 h\\\\V = (3.14)(3)^2(2)\\\\V =(3.14)(9)(2)\\\\V = (3.14)(18)\\\\V = 56.5 \ in.^3\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20Volume%20%5C%20of%20%5C%20the%20%5C%20cylinder%20%3D%20%5Cpi%20r%5E2%20h%5C%5C%5C%5CV%20%3D%20%283.14%29%283%29%5E2%282%29%5C%5C%5C%5CV%20%3D%283.14%29%289%29%282%29%5C%5C%5C%5CV%20%3D%20%283.14%29%2818%29%5C%5C%5C%5CV%20%3D%2056.5%20%5C%20in.%5E3%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
3/14 i think.................
Answer:
Step-by-step explanation:
Let 25% solution is x liters, then 50% solution is (80 - x) liters.
<u>Acid content is going to be same:</u>
- 0.25x + 0.5(80 - x) = 80*0.4
- 0.25x - 0.5x + 40 = 32
- 0.25x = 8
- x = 8/0.25
- x = 32 liters
So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution
