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Orlov [11]
2 years ago
8

Are both students equations correct?

Mathematics
1 answer:
larisa86 [58]2 years ago
7 0

Answer:

yes because it is the opposite side

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Help me plzz I'll do the same
Blababa [14]
Y=0
so, it is 6. (its my answer)
6 0
3 years ago
Forty square inches of material is available to make a cylindrical; can of tuna and water. What dimensions of the can will give
krek1111 [17]

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Step-by-step explanation:

Let us revise the rule of surface area and volume of a cylinder

  • S.A = 2π r h + 2π r²
  • V = π r² h

Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume

∵ S.A = 40 inches²

∵ S.A = 2π r h + 2π r²

∴ 2π r h + 2π r² = 40

Let us use this rule to find h in terms of r

- Subtract 2π r² from both sides

∵ 2π r h = 40 - 2 π r²

- Divide both sides by 2π r

∴ h=\frac{40-2\pi r^{2}}{2\pi r}

∴ h=\frac{40}{2\pi r}-\frac{2\pi r^{2}}{2\pi r}

∴ h=\frac{20}{\pi r}-r

∵ V = π r² h

- Substitute h by its value above

∴ V=\pi r^{2}(\frac{20}{\pi r}-r)

∴ V = 20 r - π r³

To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r

∵ \frac{dV}{dr} = 20 - 3π r²

∵ \frac{dV}{dr} = 0

∴ 20 - 3π r² = 0

- Add 3π r² to both sides

∴ 20 = 3π r²

- Divide both sides by 3π

∴ r² = 2.122

- Take √ for both sides

∴ r = 1.457 inches

To find h substitute the value of r in the expression of h

∵ h=\frac{20}{\pi r}-r

∴ h=\frac{20}{\pi (1.457)}-(1.457)

∴ h = 2.913 inches

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Learn more:

You can learn more about volume of solids in brainly.com/question/6443737

#LearnwithBrainly

3 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
yulyashka [42]

1) 16×10^-7

2)2×10^7

above is the answer of given equations

4 0
2 years ago
ben has a jar weighing 236g. when he puts his collection of 36 identical marbles inside the jar, the combined weight of the jar
inn [45]

Answer:

29.03g

Step-by-step explanation:

The total mass of the jar and marbles combined is 1.281kg, or 1281g. Subtract the mass of the jar from this to find the total mass of the marbles (1281g - 236g = 1045g). Then, divide this number by 36 to find the mass of each marble (1045g / 36 = 29.03g).

5 0
3 years ago
HELP HELP HELP I HAVE BEEN STUCK FOR AWHILE NOW
Licemer1 [7]

Step-by-step explanation:

use y2-y1/x2-x1

0--9/-6--9

-9/3

-3

y=-3x+c

0=-3(-6)+c

0=18+c

18=c

therefore

y=-3x+18

3 0
3 years ago
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