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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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A ball is kicked 4 feet above the ground with an initial vertical velocity of 51 feet per second. The function h(t)=−16t2+51t+4
Katyanochek1 [597]

Check the first picture below.

now, the exercise states to get it from the graph, so we have to graph it first.

Check the second picture below.

recall, the height in feet is on the y-axis, and the time in seconds is on the x-axis.

and rounded up to the nearest tenth will be 0.6.

7 0
1 year ago
If T(n) = 2n-7, what is the fifth term?
charle [14.2K]
T(5)=2\cdot5-7=3
8 0
2 years ago
if BD is perpendicular to AC M angle DBE equals 2x - 1 + m angle CBE equals 5x - 42 find the value of x​
Paha777 [63]
<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

I've drawn a graph in order to a better understanding of this problem. We know that:

BC is perpendicular to AC

∠DBE = 2x - 1

∠CBE = 5x - 42

Let's call the intersection of line BC and AC the point P, so:

∠P=90°

And points B, P and C form the triangle ΔBPC. On the other hand, ∠CBE and ∠PCB are Alternate Interior Angles, so:

∠PCB = ∠CBE = 5x - 42

Moreover:

∠PBC = 2x - 1 - (5x - 42)

∠PBC = 2x - 1 - 5x + 42

∠PBC = -3x + 41

The internal angles of any triangle add up to 180°. Hence for ΔBPC:

90° + ∠PBC + ∠PCB  = 180°

90° - 3x + 41  + 5x - 42  = 180°

2x + 89 = 180

2x = 91

x = 45.5°

7 0
1 year ago
Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On
melomori [17]

Answer:

Carlos rode further than on Saturday by 107/56 miles.

Step-by-step explanation:

i did the quiz lol

7 0
1 year ago
Read 2 more answers
Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
adell [148]

This question is not correct because one of its options was not written correctly.

Correct question:

Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack

and had 1.35 ounces left in total. Which describes a way to determine the number of ounces

sold in each tube of glue?

a) Solve for x in the equation 3x - 0.27 = 1.35.

b) Divide 1.35 by 3 and then subtract 0.27 from the quotient.

c) Subtract 0.27 from 1.35 and the divide the difference by 3.

d) Solve for w in the equation 3 (x - 0.27) = 1.35.

Answer:

a) Solve for x in the equation 3x - 0.27 = 1.35.

Step-by-step explanation:

From the question we are told that 0.27 ounces of glue was sold from a 3 pack glue and we have 1.35 ounces of glue left in total.

The first step would be represent the 3 pack of glue as 3x where x represents each pack of the glue.

Therefore, mathematically, we have the Algebraic equation:

3x - 0.27 = 1.35..... Equation 1

This is because when we solve for x, we would be able to find the number of ounces sold in each tube.

Solving for x in the equation 3x - 0.27 = 1.35.

3x - 0.27 = 1.35.

3x = 1.35 + 0.27

3x = 1.62 ...... Equation 2

3x = The three pack tube containing the glue.

Where x represents each of the tubes.

This means, the three pack tube contained 1.62 ounces of glue.

To find out he amount of glue sold from each pack, we go back to our equation 2

3x = 1.62

x = 1.62 ÷ 3

x = 0.54 ounces.

This means from each tubes, 0.54 ounces of glue was sold.

Therefore, Option a) "Solve for x in the equation 3x - 0.27 = 1.35" is correct.

3 0
2 years ago
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