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Vinil7 [7]
3 years ago
6

This graph shows a proportional relationship.

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

The constant of proportionality is:

  • k = 5/4

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality

From the graph, it is clear that the point (2/5, 1/2) passes through the line which represents the direct relationship.

so we have the point (2/5, 1/2), and

x = 2/5

y = 1/2

so substituting x = 2/5 and y = 1/2 in the equation

k = y/x

k = [1/2] / [2/5]

k = [1 × 5 ] /  [2 × 2 ]

k = 5/4

Therefore, the constant of proportionality is:

  • k = 5/4
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elena-14-01-66 [18.8K]

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Step-by-step explanation:

Ok, first some definitions.

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2 years ago
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Aliun [14]

Answer:

Part 1) c=21.9\ units

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Part 3) A=28.9\°

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Step-by-step explanation:

step 1

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Applying the Pythagoras Theorem

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substitute the given values

c^{2}=10.6^{2}+19.2^{2}

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step 2

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we know that

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tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

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step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

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Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

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A+61.1\°+90\°=180\°

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