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oee [108]
3 years ago
6

Total solar eclipses occur on a regular and predictable basis. One that could be viewed in parts of the United States occurred o

n March 7, 1970. The saros cycle is a period of 18 years, 11 1 3 days, and solar eclipses occur according to this cycle. For the purposes of this exercise, we ignore leap years and assume that a year is exactly 365 days. Because the saros cycle is not a whole number of days, but instead is one-third of a day longer than a day, at the end of the saros cycle, Earth will have rotated one-third revolution beyond its location at the beginning of the cycle. Thus, if a solar eclipse is viewable at a certain location, the next solar eclipse will not be. How long after March 7, 1970, will a solar eclipse again be viewable from the United States?
Mathematics
1 answer:
Ivenika [448]3 years ago
8 0

Answer:

Step-by-step explanation:

The previous solar eclipse occured on March 7 , 1970 .

saros cycle has duration of 18 years , 11 + 1/3 days

So the earth goes 1 / 3 of its daily rotation beyond its previous location in the next solar eclipse on the earth . In order that we get solar eclipse on the same point on the earth , we shall have to wait for third solar eclipse

So total period of wait = 18 x 3 years + 11 x 3 + 1 = 54 years and 34 days

Date of next solar eclipse on the same spot = 1970 + 54 = 2024

7 th March + 34 days = April 10

likely date = April 10 , 2024 .

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vovangra [49]

Answer:

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4 0
3 years ago
3. Find the value of m for which the equation mx + 14 = 12 + 2 has one repeated root.
umka2103 [35]

Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.

<h3>What is the quadratic equation?</h3>

The quadratic equation is given as follows:

mx² + 12x - 12.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

For this problem, the coefficients are:

a = m, b = 12, c = -12.

Hence the discriminant is:

b² - 4ac = 144 + 48m.

We want it to be of 0, hence:

144 + 48m = 0

m = -144/48

m = -3.

More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811

#SPJ1

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1 year ago
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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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