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aev [14]
3 years ago
11

To successfully escape a planet's gravity, a space ship must achieve escape velocity, which for Earth is 11.2 km/s or 25,054 mil

es per hour. If a ship reaches this speed and maintains it, then neglecting the need to slow down prior to landing, how long would it take the ship to reach the Moon? Use the actual distance to the Moon of 233,815 miles and give your answer in hours.
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

9.33 Hours.

Step-by-step explanation:

The time in hours is given by the distance divided by velocity.

t=D/v

Now we are told that the velocity of the ship will be 25054 miles per hour, and the distance to the Moon is 233815 miles; therefore the time it will take the spacecraft to reach the moon will be:

t=233815miles/(25054miles/hr) = 9.33 hours

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Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√
Andrei [34K]

Answer:

  • x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
  • x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

  2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

  sin(x) = (√82 -√72)/2

  x = arcsin((√82 -√72)/2)

Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

___

In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

6 0
3 years ago
Find the volume of the cylinder. What is the exact volume in terms of π? (diameter= 16m) Options a.) 1000pi cubic m b.) 1024pi c
Kazeer [188]
The volume for any cylinder, right or oblique, would be base x height. Even though an oblique cylinder looks quite different from a right cylinder, their volumes would be equal (given that their radius and height are equal). Think about it, the area of a parallelogram would equal the area of the rectangle if their heights and bases were the same, so that would apply for this also.

V= Bh
The base would stand for that top and bottom of the cylinder, or the circles. The volume for circle is pi x radius squared. 
V = \pi  r^{2}h
V = \pi256 x 16
V = \pi4096 m^{3}
6 0
2 years ago
the Children's Hospital sponsors a 10k race to raise money. it receives $75 per race entry and $10,000 in donations but it must
masha68 [24]

Answer:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.

75x - 25x

Then we can add the number of donations.

75x - 25x + 10,000

Then we can set it as greater than or equal to the goal number.

75x - 25x + 10,000 ≥ 100,000

Now we solve this using the order of operations.

75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms

50x + 10,000 ≥ 100,000 ------> Subtract 10,000

50x ≥ 90,000 -----> Divide by 50

x ≥ 1,800

4 0
2 years ago
Read 2 more answers
Explain how the segment addition postulate can be modeled using a real-world object
IgorC [24]

To determine the length of AB, one must subtract BC from AC. If the length of AC is 18 and the length of BC is 4, then using this formula yields 18 - 4 = 14, so the length of AB is 14.

This postulate also allows a line segment that has only two known points to be broken into two line segments with the addition of a third point in between the endpoints. This is useful for proofs in geometry and analysis.


6 0
3 years ago
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Mario found this relationship between the quantities in the table? Which error did Mario make?
wlad13 [49]
Mario made the mistake on everything and he needs help
6 0
2 years ago
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