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alina1380 [7]
4 years ago
5

Given a right triangle with b=3 and c=5 find leg a? Show your work

Mathematics
1 answer:
vlada-n [284]4 years ago
5 0

Find attached to this question, the diagram of the right angle triangle

Answer:

Leg a = 4

Step-by-step explanation:

A right angle triangle has 3 sides : side a, b and c

The formula to solved for a right angle triangle =

a² + b² = c²

In that above question,

a = unknown

b = 3

c = 5

Therefore,

a² + 3² = 5²

a² = 5² - 3²

a² = 25 - 9

a² = 16

a = √16

a = 4

Therefore, leg a = 4

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In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of
ella [17]

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at brainly.com/question/24808124

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Answer:

Commutative property of addition of rational numbers: Two rational numbers can be added in any order. Thus for any two rational numbers a/b and c/d, we have. (a/b + c/d) = (c/d + a/b)

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Step-by-step explanation:

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