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tatuchka [14]
3 years ago
9

Select two ratlos that are equivalent to 27 : 9.

Mathematics
2 answers:
Naya [18.7K]3 years ago
5 0
<h3>There are two answers</h3><h3>choice A  3:1</h3><h3>choice B  9:3</h3>

=================================================

Explanation:

Note how 27 and 9 have a common factor of 3.

Divide each part by this common factor

27/3 = 9

9/3 = 3

So 27:9 is equivalent to 9:3

Choice B is one of the answers

-----------

Another common factor of 27 and 9 is 9. This is the greatest common factor (GCF). Divide both parts by the GCF

27/9 = 3

9/9 = 1

The ratio 27:9 is equivalent to 3:1

Choice A is one of the answers

-----------

Another way to see why choice A and choice B are the answers is to divide the two parts of the original ratio from left to right

27/9 = 3

Then for choice A's ratio of 3:1, we do the same to get 3/1 = 3

and choice B as well to get 9/3 = 3

Each time we divide the parts of teh ratio from left to right, we end up with 3 as a result.

Something like choice C doesn't work because 6/3 = 2 and choice D is 9/6 = 1.5 and choice E is 12/3 = 4, showing all different results from 3.

kotegsom [21]3 years ago
4 0

Answer:A and B

Step-by-step explanation:

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Step-by-step explanation:

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Slav-nsk [51]
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Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your ans
aniked [119]

Answer:

(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û = \frac{u}{|u|}             ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = \sqrt{(4)^2 + (-4)^2}

|u| = \sqrt{16 + 16}

|u| = \sqrt{32} = 4\sqrt{2}

Now, substitute u and |u| into equation (i) as follows;

û = \frac{(4, -4)}{4\sqrt{2} }

û = (\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} }  )

û = (\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

Therefore, the unit vector is (\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

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What is the measurement of Angle O in parallelogram LMNO. When angle L is (x+40) and angle O is (3x)
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In a parallelogram, opposite angles are congruent.

This means that the four angles of the parallelogram are:

L = x+40,\quad M = 3x,\quad N = x+40,\quad O = 3x

Moreover, the sum of the interior angles of a polygon with n sides is 180(n-2). So, the sum of the interior angles of a parallelogram is 360.

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3 0
3 years ago
Read 2 more answers
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