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Elza [17]
3 years ago
5

Show how can you find the unit rate without using the models​

Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

Answer:

You can use equation or use a calculator.

Step-by-step explanation:

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Consider the vitamin capsule below.
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Answer:

We have a cylinder and two semispheres.

The volume of a cylinder is equal to:

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where h is the height, r is the radius, and pi = 3.14

We know that the diameter is d = 8.4 mm, and the radius is half of that:

r = 8.4mm/2 = 4.2mm

Then the volume of the cylinder is:

Vc = 15.2mm*3.14*(4.2mm)^2 = 841.9 mm^3

The volume of a sphere is:

Vs = (3/4)*pi*r^3

The radius of the sphere is the same as the radius of the cylinder, and for a semisphere, we have half of the volume written above,

Vss = (3/8)*3.14*(4.2mm)^2 = 87.2mm^3

and we have two of those, so the total volume is:

Vt = 841.9 mm^3 + 2*87.2mm^3 = 1016.3 mm^3

The surface area of the figure is equal to the curved surface of the cylinder plus the surface of the two semispheres.

The curved surface of the cylinder is:

Sc = 2*pi*r*h = 2*3.14*4.2mm*15.2mm  = 400.9 mm^2

The surface of a sphere is:

Ss = 4*pi*r^2

and for each semisphere, we can find the surface by dividing the previous equation by two, but we have two semispheres, so we can jump a step and think the two semispheres as only one sphere.

Ss = 4*3.14*(4.2mm)^2 = 221.6mm^2

The total surface is St = 221.6mm^2 + 400.9 mm^2 = 622.5 mm^2

7 0
3 years ago
Is 9,972 above sea level ​
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2 years ago
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Answer:

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Step-by-step explanation:

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Jason knows that AK←→⊥KB←→ , AK←→∥EF←→ , and AK←→∥CB←→ .
netineya [11]
I think the answer is KB//DM because they are on different lines and will never touch, they go sideways for eternity.
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3 years ago
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