The table below shows Bentley's earnings on the job.

Mathematics

1 answer:

galben [10]1 year ago

3 0

Constant of Proportionality = 15.20

What's proportionality?

Suppose there are two amounts. Proportionality indicates that if there's a change in the value of one number, the value of other number also changes but maintaining a constant ratio

Proportionality can be direct or inverse

Direct proportion

Two amounts are said to be in direct proportion if on increasing the value of one number, the value of other number also increases and vice versa.

For illustration cost of a commodity and volume of a commodity are in direct proportion

Inverse proportion

Two amounts are said to be in inverse proportion if on increases the value of one number, the value of other volume diminishes and vice versa.

For illustration Number of men and number of days taken by those men to complete a job

From the table, we can calculate the constant of proportionality

Constant of Proportionality =

$\frac{304 - 243.20}{20 -16}\\\frac{60.80}{4}\\15.20$

To learn more about proportion, refer to the link:

brainly.com/question/24868934

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Does anyone know the answer for the question below.

vaieri [72.5K]

let's take the postive value for a while (that is the value in first quadrant.)

$\tan(x) =\frac{\text{perpendicular or opposite side}}{\text{base or adjacent side}} \\ \tan(x)=2 \\ \text{if you imagine a triangle with perpendicular =2 and base =1, and use Pythagoras theorem, you will get hypotenuse} \\ h^2= 2^2+1^2 \\ h^2=4+1 =5 \\ h=\sqrt5 \\ \cos(x)=\frac{\text{base or adjacent side}}{\text{hypotenuse}} \\ \cos(x)=\frac{1}{\sqrt5} \\ \text{ since x is in second quadrant, where both tangent and cosine are negative, just add a negative sign} \\ \cos(x)= -\frac{1}{\sqrt5}$