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LenKa [72]
2 years ago
14

Chicxulub is a crater on the Yucatán Peninsula of Mexico. It was formed 6.5 × 107 years ago. Vredefort crater in South Africa wa

s formed approximately 2 × 109 years ago. Sudbury Basin in Canada is a crater that formed approximately 1.8 × 109 years ago. Acraman crater in Australia was formed 5.8 × 108 years ago. Which crater is the oldest?
Mathematics
2 answers:
Rus_ich [418]2 years ago
5 0

Answer: The oldest one is Vredfort Crater.

Step-by-step explanation:

The data is:

Chicxulub was formed 6.5x10^7 years ago.

Vredfort was formed 2x10^9 years ago.

Sudbury basin was formed 1.8x10^9 years ago.

Acraman crater was formed 5.8x10^8 years ago.

We want to find the oldest, so we need to find the larger number of the 4 we have.

For this, we need to see at the exponents, the larger the exponent the larger the number.

We have two with a 9 in the exponent:

Vredfort and Sudbury.

Now we look at the number, Vredfort has 2x10^9 and Sudbury has 1.8x10^9.

Both have the same exponent, but the scalar of Vredfort is larger (2 is greater than 1.8) so we have that Vredfort is older.

polet [3.4K]2 years ago
4 0

Answer: Vredefort

Step-by-step explanation: Vredefort is 2 billion years old unlike Chicxulub crater which is only 65 million years old.

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Check the picture below.

now, keep in mind that the focus point is at 3,0 and the directrix is to the left-hand-side of it, therefore, is a horizontal parabola, and it opens to the right-hand-side, like in the picture.

keep in mind that the vertex is half-way between the focus point and directrix, at a distance "p" from either one, notice the "p" distance is just 3 units, since the parabola is opening to the right, "p" is positive.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})}
\\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}})
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
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6 0
2 years ago
a school baseball team raised $810 for new uniforms. each player on the team sold one book of tickets. There were 10 tickers in
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1 Book = $30
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27 books
4 0
2 years ago
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Edin has £300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intre
Marianna [84]

Answer:

$45

Step-by-step explanation:

We are given the following information;

  • Money invested (Principal) is $300
  • Rate of interest is 5% per annum
  • Time the money is invested is 3 years

We need to determine the amount of interest the money will earn after three years.

  • Simple interest is calculated by the formula;
  • Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

                         = $45

Thus, the money invested earned a simple interest of $45

3 0
2 years ago
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
2 years ago
Two containers are mathematically similar.Their volumes are 54cm³ and 128cm³.The height of the smaller container is 4.5cm.Calcul
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Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

8 0
2 years ago
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