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2 years ago

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Mathematics

1 answer:

Lyrx [107]2 years ago

6 0

The table follows a linear pattern

The equation that represents the date on the table is C=0.25m + 8.95

<h3>What are linear patterns?</h3>

Linear patterns are equations that have constant rates or slopes

<h3>How to calculate the equation</h3>

From the table, we have the following ordered pair

(m,C) = (50,21.45) and (100, 33.95)

We start by calculating the slope using:

$s = \frac{C_2 -C_1}{m_2 -m_1}$

So, we have:

$s = \frac{33.95 - 21.45}{100 - 50}$

$s = \frac{12.5}{50}$

$s = 0.25$

The equation is then calculated using:

$C=s(m - m_1) + C_1$

So, we have:

$C=0.25(m - 50) + 21.45$

Open the bracket

$C=0.25m - 12.5 + 21.45$

$C=0.25m + 8.95\\$

Hence, the equation of the total cost is C=0.25m + 8.95

Read more about linear equations at:

brainly.com/question/14323743

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Use the distance formula to calculate the length of the leg CD

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To calculate the distance between two points on the coordinate system you have to use the following formula:

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Where

d represents the distance between both points.

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(x₂,y₂) are the coordinates of the second point.

To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph

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The length of CD is √10 units ≈ 3.16 units

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Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

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Answer:

Length of right-angle triangle 'a' = 4

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

Step-by-step explanation:

Step(i):-

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

Step(ii):-