Is .04 repeating a irrational number?

1 answer:

4 0

.04 repeating is a rational number.

A irrational number has a non-terminating (no end) and non-repeating decimals, meaning numbers after the decimals do not end and do not repeat.

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Mrs drew wants to build a square sandbox with an area of 169 square feet. What is the total length of wood mrs. Drew needs to ma

Bezzdna [24]

Area of sandbox = 169 square feet

Area of square with side 'x' is given by the formula = $x^2$

We have to determine the total length of wood Drew needs to make the sides of the sandbox.

Total length of wood required would be equal to perimeter of sandbox.

Let 'a' be the side of the square sandbox.

So, Area of sandbox = 169

$a^2 = 169$

$a = \sqr{169}$

a = 13 feet

Total length of wood required to make sides of the sandbox = Perimeter of the square sandbox = $4 \times a$

= $4 \times 13$

= 52 feet.

Therefore, 52 feet of wood is required to make the sides of the square sandbox.

7 0

3 years ago

A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

zloy xaker [14]

Answer:

$t=-20ln\left(\dfrac{1}{3}\right)$

Step-by-step explanation:

The relationship between A, the area of the glacier in square kilometers, and t, the number of years the glacier has been melting, is modeled by the equation.:

$A=45e^{-0.05t}$

We want to determine the value of t for which the area, A(t)=15 square kilometers.

$15=45e^{-0.05t}\\$Divide both sides by 45\\\dfrac{15}{45} =\dfrac{45e^{-0.05t}}{45}\\\dfrac{1}{3}=e^{-0.05t}\\$Take the natural logarithm of both sides\\ln\left(\dfrac{1}{3}\right)=ln\left(e^{-0.05t}\right)\\ln\left(\dfrac{1}{3}\right)=-0.05t\\$Divide both sides by -0.05$\\t=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05} \\=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05}\\t=-20ln\left(\dfrac{1}{3}\right)$