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evablogger [386]
3 years ago
14

Aaron found rhe length of the diagonal of a rectangle to be an irrational number. What could be the lenght of the diagonal

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

It could be a positive square root l like √10  ( the number not being a perfect square).

He would have obtained this value from the application of the Pythagoras theorem. For example the length and width of the rectangle might have been 3 and 1 foot respectively, so the diagonal would have length  √(3^2 + 1^2) = √10.

He could give an estimate of the length to nearest hundredth using his calculator. This would be 3.16 feet.

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A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk​
Luden [163]

For this sort of problem, you need to be familiar with prefixes.

So:

megabyte = 1 *10^6 bytes

kilobyte = 1*10^3 bytes

and a regular byte would just be 1

Now, you will need to do a conversion:

1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 1*10^6 bytes!)

In the second fraction thought, remember one kilobyte is 1*10^3 bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do \frac{1kilobyte}{1*10^3bytes}, but I think it is more correct to do write it out how I did).

*** They do equal the same thing though! Do whichever way is easier for you!

Now, your answer should be:

10^3 kilobytes (1000 kilobytes)

Hope this helped!

6 0
2 years ago
What is the reminder when (3x^3-2x^2+4x-3) is divided by (x^2+3x+3)
NARA [144]
(For full answer you might have to go to the comments)

Answer: 28x+30

Explanation: we divide (3x^3-2x^2+4x-3) by (x^2+3x+3) Using long division
3x-11
___________________
(x^2+3x+3) 3x^3-2x^2+4x-3


-(3x^3+9x^2+9x)
__________________

-11x^2-5x-3

-(-11x^2-33x-33)
____________
28x+30

So our remainder will be 28x+30
5 0
2 years ago
Do alto de um farol cuja altura é de 20 m avista se um navio sob ângulo de depressão de 30°. A que distância , aproximadamente,
Mkey [24]
Esta é a trigonometria . Se você desenhar uma linha a partir do topo da casa de luz para o barco, você terá a hypotonuse de um triângulo. Um truque é lembrar que este é um triângulo especial. É um triângulo 30-60-90 , que tem propriedades especiais mostradas na fixação abaixo . por isso sabemos que o lado adjacente que não é o hyposonuse é x√3 . Agora sabemos que x<span>√3 = 20
Solve for x.
x</span><span>√3=20
divide both sides by </span><span>√3.
x=20/(</span><span><span>√3)
</span>Try not to have square roots (</span><span><span>√)</span> in denomenator so multiply top and bottom by </span><span>√3 and get
x=(20</span><span>√3)/3
x is what we are looking for so the answer is </span>
20<span>√3 m </span><span>ou cerca de 34.64 m</span>










7 0
3 years ago
a piece of fossilized tree trunk is possibly 4000 years old. The sample contains 65% of the original amount of carbon-14. Is the
Fiesta28 [93]

Answer:

  no

Step-by-step explanation:

Let f represent the fraction of C-14 remaining as a function of the time t in years. Since the half-life of C-14 is about 5570 years, we have ...

  f = (1/2)^(t/5570)

Taking the log and solving for t, we get ...

  log(f) = (t/5570)log(1/2)

  5570·log(f)/log(1/2) = t

Filling in the given value for f, the value of t we get is ...

  5570·log(0.65)/log(0.5) = t ≈ 3462

It appears the estimate of 4000 years is a bit high.

4 0
3 years ago
Alan bought two bikes. He sold one to Beth for $300 taking a 25% loss. He also sold one to Greta for $300 making a 25% profit. D
Mashutka [201]

No Alan did not break even

Alan incured a loss of 6.25 %

<em><u>Solution:</u></em>

Given that,

Alan bought two bikes

He sold one to Beth for $300 taking a 25% loss

He also sold one to Greta for $300 making a 25% profit

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss

Which is given as:

loss\ \% = (\frac{x}{10})^2

Here, x = 25

loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25

Thus the loss percentage is 6.25 %

8 0
2 years ago
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