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lidiya [134]
3 years ago
5

Can somebody explain to me how to do this

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
Basically, a positive hundreds-place multiplication is going to move your decimal to the right by 2 places. 

When you multiply the two together (which you can do in a calculator), you get an answer of 68.5. Again, this comes from moving the decimal in 0.685 two places to the right to receive your final answer. 

I hope I was able to help. Best of luck.
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If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
2 years ago
Explain how Cavalieri’s principle can be used to find the volume of any solid.
Kruka [31]

Answer:

Cavalier's principle can be used to find the volume of any solid.

Step-by-step explanation:

Cavalier's Principle:

  • Cavalier introduced parallel planes and area to describe the relationship between solids.
  • Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.
  • Suppose two regions are included between two parallel planes.
  • If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
  • The formula for the volume of a prism is the area of the base times the height.
8 0
2 years ago
Two pools are being filled with water. To start, the first pool had 728 liters of water and the second pool was en pty. Water is
vredina [299]

Answer:

52 minutes

Step-by-step explanation:

Equation:

728+23x=0+37x\\728+23x=37x\\728=14x\\x=52

So 52 minutes.

Hope this helps plz hit the crown :D

7 0
2 years ago
Read 2 more answers
Find each missing angle <br> Please
-BARSIC- [3]

Answer:

m<1=61

m<2=40

m<3=60

m<4=80

m<5=100

Step-by-step explanation:

180/3=60

180/9=20

20x2=40

20x4=80

20x3=60

59+60=119

180-119=61

180-80=100

7 0
2 years ago
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Vikentia [17]

Answer:

$16

Step-by-step explanation:

0.75x = 12\\3x = 48\\x = 16

8 0
3 years ago
Read 2 more answers
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