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satela [25.4K]
3 years ago
5

a carpenter uses four nails to install each shelf. complete the table to represent the relationship between the number of nails

(N) and the number of shelves (S). write the ratio that describes the number of nails per number of shelves. write as many different equations as you can that describe the relationship between the two quantites.
Mathematics
1 answer:
Bond [772]3 years ago
3 0
4N=1S that is the ratio
4N+S

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the first, third and fourth sentences are correct

Step-by-step explanation:

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Read 2 more answers
A cone has a slant length of 5 and a diameter of 4. What is the volume of the cone? Use π ≈ 3.14.
Olegator [25]

Answer:

V = 19.19 cubic units

None of the options are correct.

Step-by-step explanation:

Volume of a cone is given as;

V = ⅓πr²h

Now, we are given;

diameter = 4 units

Thus radius;r = diameter/2 = 4/2 = 2 units

I have attached an image to show the diagram of the cone.

Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.

From Pythagoras theorem;

r² + h² = l²

Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"

Thus;

2² + h² = 5²

h² = 5² - 2²

h² = 25 - 4

h² = 21

h = √21

h = 4.5826 units

So height (h) = 4.5826 units

Volume of cone;V = ⅓πr²h

We are told that π = 3.14

Thus;

V = ⅓ x 3.14 x 2² x 4.5826

V = 19.19 cubic units

3 0
3 years ago
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