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erastova [34]
1 year ago
5

f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the column

s? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2. please hurry im in a rush
Mathematics
1 answer:
olasank [31]1 year ago
3 0

The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:

20 would be in the column for 2, and 60 would be in the column for 6.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:

y = kx

The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:

k = 6/2 = 3.

Hence the equation is:

y = 3x.

The values given by each column are given as follows:

  • Column 2: values of x.
  • Column 6: values of y.

When x = 20, the numeric value of the relationship is of:

y = 3 x 20 = 60.

Hence the first option is correct.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

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1/4 (20x−28) &lt;2(x−3)+2
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Answer:

Step-by-step explanation:

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6 0
3 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

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3 years ago
A cube has an edge measuring 4 inches what is the surface area of the cube in inches^2
Arada [10]

Answer:

96^2in

Step-by-step explanation:

4x4=16

16x6=96

5 0
3 years ago
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