Is the following number rational or irrational?

Mathematics

2 answers:

Mashcka [7]3 years ago

7 0

Answer:

Rational

Step-by-step explanation:

To find out whether it is rational or irrational let's write the definitions of both

Rational: Any number that can be written as a fraction, integer, whole number, natural number

Irrational: Numbers that can't be written as a fraction

This has to be rational because every rational number can be written as a repeating decimal.

Travka [436]3 years ago

4 0

$6.\overline{6}=6\dfrac{2}{3}=\dfrac{20}{3}$

Since it can be expressed as fraction, it's a rational number.

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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Jobisdone [24]

Answer:

$\frac{a(450-8a^2)}{4}$

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

$=4a^2+4ah+4a^2\\=8a^2+4ah = 450$ $h = \frac{450-8a^2}{4a}$