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SSSSS [86.1K]
3 years ago
13

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "

not proportional" into the box.
x 0 2 4 6
y 0 3 6 9
Mathematics
2 answers:
Nikitich [7]3 years ago
4 0

The table is proportional and the constant of proportionality is 1.5

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

  • One variable is always a constant value times the other
  • The relation between the two variables represented graphically by a line passes through the origin point

The table:

→ x  :  0  :  2  :  4  :  6

→ y  :  0  :  3  :  6  :  9

To prove that y ∝ x find the ratio between each value of y with corresponding value of x

∵ \frac{3}{2}=1.5

∵ \frac{6}{4}=1.5

∵ \frac{9}{6}=1.5

∴ \frac{y}{x}=k

∴ k = 1.5

∵ The origin point is in the table

∴ y ∝ x

∴ The table is proportional

The table is proportional and the constant of proportionality is 1.5

Learn more:

You can learn more about proportional in brainly.com/question/10708697

#LearnwithBrainly

Reptile [31]3 years ago
4 0

The answer to your question on ratios will be proportional as 1/2 would be half more these numbers have a half more on y than we have on x. Hope this helped out!

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The height of the pole is 6.50 meters

<h3>How to calculate the height?</h3>

To calculate the height of the pole, we will use of the following equivalent ratios.

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7 0
1 year ago
Initially a ship and a submarine are stationary at sea level, positioned 1.78km apart. The submarine then manoeuvres to position
poizon [28]
I’m assuming ‘dives further’ means to go directly down

the angle of elevation of the ship from the submarine is equal to the angle of depression of the submarine from the ship, if we assume the sea level is perpendicular to ‘directly down’.

let both of these angles to be = $ when the submarine is at A and ¥ when the submarine is at B (excuse the lack of easily accessible variables as keys)

then this become a simple trig problem:

A)

Let O be the position of of the ship, and C be the original position of the submarine.

therefore, not considering direction

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¥ = arctan(107/1780) which is roughly 3.44 degrees






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3 years ago
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