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KATRIN_1 [288]
2 years ago
14

According to Nasa, when the International Space Station (ISS) is at an altitude of 385 kilometers, it travels at about 27,707 ki

lometers per hour. After how many hours of travel will the ISS reach a star that is 4.8 lightyears away? Recall that 1 light year = 9.5 · 1012 kilometers and 1 kilometer = 0.62 miles. In your final answer, include all of your calculations.
Mathematics
2 answers:
Evgen [1.6K]2 years ago
4 0
Supposing the ISS travels at a constant speed, then use the relation,

t=space/velocity

Then you will obtain,

t=1.65\cdot 10^9\ hours
Genrish500 [490]2 years ago
4 0

Answer:

1.6457934818\times 10^9   hours

Step-by-step explanation:

ISS is at a distance = 385 km

We are supposed to find how many hours of travel will the ISS reach a star that is 4.8 light years away?

1 light year = 9.5 \times 10^{12}

So, 4.8 light years = 4.8 \times 9.5 \times 10^{12}

                               =4.56\times10^{13}km

So , we are supposed to find after how many hours ISS will be at an altitude 4.56\times 10^{13}km

We are also given that it travels at about 27,707 kilometers per hour

Since it travels 27707 km in hours = 1

So, it travels 1 km in hours = \frac{1}{27707}

It travels 4.56\times10^{13}km in hours = \frac{4.56\times10^{13}}{27707}

= 1.6457934818\times 10^9

Hence ISS will travel 1.6457934818\times 10^9 hours reach a star that is 4.8 light years away .  

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7 0
1 year ago
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

\alpha \beta = 36

Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

7 0
1 year ago
186% of what is 56.73
rusak2 [61]
To do this problem, first you are going to want to turn 186% into a decimal which is 1.86. Now you put 56.73 over 1.86.................. 56.73/1.86.
Then you should divide 56.73 by 1.86 then you should get 30.5.

EXTRA.
if you want to find the percent, all you have to do is multiply 30.5 by 100.
you would get 3050%
Hope this helped and have an awesome day!


4 0
1 year ago
The diagonals of kite ABCD intersect at E. If ∡EBC=30°, what is ∡BCE?
lukranit [14]

Answer:

∡BCE = 60

Step-by-step explanation:

Here, we want to find the angle marked BCE

From our diagram, the angle marked BCE is y

Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE

mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180

Thus, we have that;

y + 30 + 90 = 180

y = 180-120

y = 60

8 0
1 year ago
Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s e
hjlf
She earned $3 more per hour for gardening than for office work.
8 0
2 years ago
Read 2 more answers
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