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2 years ago

Which table shows a proportional relationship between x and y?

Mathematics

2 answers:

gregori [183]2 years ago

8 0

Answer:

<h2>The last table shows a proportional relationship.</h2>

Step-by-step explanation:

When a bunch of data has a proportional relationship, that means they have a constant ratio of change. In other words, when we divide each y-coordinate with its pair x-coordinate, the result will be always the same, and that happens only in the last case.

Let's divide

$\frac{5}{1}=5\\\frac{10}{2}=5\\ \frac{25}{5}=5\\\frac{35}{7}=5$

As you can see, each division from the last table give a constant ratio, that's why it's the right answer.

If you try with the other tables, you will find that they don't have a constant ratio. For example, let's take the first table and divide

$\frac{15}{1}=15\\\frac{60}{4}= 15\\\frac{70}{5}=14$

So, this table doesn't show a proportional relationship.

Therefore, the right answer is the last table.

AlladinOne [14]2 years ago

4 0

The last one because y divide by x equals 5 for every single one

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The volume of this CONE is 175π cubic units.

yulyashka [42]

Answer:

1649.33 units³

Step-by-step explanation:

Let the height and the radius be known as "h" and "r" respectively.

<u>Formulae(s):</u>

Volume of cylinder: πr²h
Volume of cone: πr²h/3

Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,

⇒ πr²h = 3(πr²h/3)
⇒ πr²h = πr²h (True)

<u>Determining the volume of the cylinder;</u>

⇒ Volume of cylinder = Volume of cone × 3
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1 year ago

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Answer:

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Step-by-step explanation:

The only equation that has the existing dimensions <em>increased</em> by x is the first one.

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2 years ago

What are some similarities and differences between the Third Angle Theorem and the Triangle Angle-Sum Theorem?

Alborosie

Answer:

The similarities are;

1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°

2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third

3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems

The differences are;

1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle

2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle

Step-by-step explanation:

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Oxana [17]

Answer:

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