2 years ago

Classify the following is rational or irrational(a) √45

1 answer:

3 0

The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.

$\sqrt{45} =\sqrt{3 \times 3 \times 5}$

$\sqrt{45} =3\sqrt{5}$

$3\sqrt{5}$ is an irrational number, it cannot be expressed in the form of a fraction.

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2 years ago

A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?

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Answer:

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(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

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(a).

Explicit formula for an arithmetic sequence is given as:

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$a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}$

Therefore, the explicit definition of the above sequence is given as:

$a_n=1+\frac{1}{6}(n-1)$

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(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

$a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi$

Therefore, the number of miles covered by her on day 19 is 4 miles.

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Classify the following is rational or irrational(a) √45​

Classify the following is rational or irrational(a) √45