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UNO [17]
3 years ago
13

Select the answer with the correct number of significant figures for each calculation. (6.022 × 10^23) × 2.58 = 1.55 × 10^24 1.5

54 × 10^24 1.5537 × 10^24
Mathematics
2 answers:
maxonik [38]3 years ago
5 0

Answer:

1.55 × 10^24

Step-by-step explanation:

Oduvanchick [21]3 years ago
3 0

The answer is A aka 1.55 x 10 to the power of 24

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Help please:))
Blababa [14]

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

3 0
2 years ago
2 Two of the angles of this polygon are 100°. All the other angles are equal. (100° 1000 Calculate the size of the unmarked angl
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Answer: 140 step by step

Step-by-step explanation:

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2 years ago
. A pedestal is built using a trapezoid-shaped base. Find the area of the trapezoid.
Igoryamba

18m^2

area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height

(4+8)/2 * 3

= 12/2 * 3

= 6 * 3

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Answer:

Step-by-step explanation:

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Answer:

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