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2 years ago

0.2 recurring decimal to fraction

2 answers:

7 0

1/5

Firstly, to write 0.2 as a fraction, we convert decimal to fraction. For that, we divide the number by 1 and multiply the top and bottom by 10. So, 0.2/1 × 10/10 = 2/10, which can be reduced further to 1/5. This means 0.2 as a fraction is equal to 1/5.

DochEvi [55]2 years ago

6 0

Answer:

1/5

Step-by-step explanation:

1/5

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Which irrational number can be added to pi to get a sum that is rational?

Fofino [41]

The irrational number that can be added to pi to get a rational sum is PI.

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4 years ago

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A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells. what is th

SpyIntel [72]

The profit made is $4,460.

What is a profit in business?

In its simplest form, it's the amount left after subtracting your total expenses from your total revenue.
The money remaining, your profits, can either be kept in the business and re-invested to finance future growth, or distributed as a draw or dividends to stakeholders.

The profit model, P(x) = -10x² + 498x - 1,500

Where, x = price per sign sold

If the price per sign sold is $20. Hence, x = $20

The profit made can be calculated thus :

Put x = 20 in the profit function :

P(20) = -10(20)² + 498(20) - 1,500

P(20) = - 10(400) + 9960 - 1500

P(20) = - 4000 + 9960 - 1500

P(20) = $4,460

The profit made is $4,460

Learn more about profit

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4 0

2 years ago

How to find degrees in triangle using trig?

nordsb [41]

Remember SOHCAHTOA

Sine- opposite/hypotenuse
Cosine- adjacent/hypotenuse
Tangent- opposite/adjacent

Look at the angle (x) you are trying to figure out and pick which one of these it is.

In your calculator, do the equation first to get a decimal

Then press whichever one you chose on the calculator, so if you got like 0.2 by doing opposite/adjacent for tangent, you would type in 0.2 and then the TAN button

hope this makes sense!!

8 0

3 years ago

An open box is to be made by using a piece of sheet metal with the dimensions of 4m by 2m. Determine the dimensions the box shou

Natali5045456 [20]

Answer:

Dimensions: 0.4 by 3.2 by 1.2

Step-by-step explanation:

I'm assuming here that we are cutting out squares out of each of the metal's corners:

Let x = the length of each cut-out square,

Each base (of the desired net square folded) is 4-2x, and 2-2x respectively,

Volume = x(4-2x)(2-2x)

= 4x^3 - 12x + 8x

Now we take the derivative:

$\frac{d}{dx}\left[4x^3-12x^2+8x\right]\\\\= \frac{d}{dx}\left(4x^3\right)-\frac{d}{dx}\left(12x^2\right)+\frac{d}{dx}\left(8x\right)\\\\= 12x^2-24x+8$

We equate to 0 (0 for max volume), and solve using the quadratic formula:

$12x^2-24x+8=0,\\\\x_{1,\:2}=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:12\cdot \:8}}{2\cdot \:12}\\\\= \frac{-\left(-24\right)\pm \:8\sqrt{3}}{2\cdot \:12}\\\\\mathrm{Separate\:the\:solutions}:\\\\x_1=\frac{-\left(-24\right)+8\sqrt{3}}{2\cdot \:12},\:x_2=\frac{-\left(-24\right)-8\sqrt{3}}{2\cdot \:12}\\\\x =\frac{3+\sqrt{3}}{3},\:x=\frac{3-\sqrt{3}}{3}\\\\x=1.57735\dots ,\:x=0.42264\dots$

So we approximate the side lengths to be 1.6 and 0.4 respectively. But when we plug in 1.6 for x, we get the volume as negative. Therefore x has to be 0.4.

Side lengths: 0.4, 4-2(0.4) => 3.2, 2-2(0.4) => 1.2

7 0

3 years ago

Please answer this question.

marta [7]

Answer:

Step-by-step explanation:

It’s 88

3 0

3 years ago