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vampirchik [111]
3 years ago
5

The space shuttle travels at 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to rea

ch Saturn from earth. Show your work, and convert your standard number to scientific notation.
In my problem the Saturns distance from the sun is: 1,424,000,000 KM
and earths distance from the sun is: 149,600,000
Mathematics
1 answer:
spayn [35]3 years ago
3 0

Subtract the distance of the Earth from the sun from the distance of Saturn from the sun to find the distance from Earth to Saturn:

1,424,000,000 - 149,600,000 = 1,274,400,000 km ( Saturn from Earth)

Divide the distance by the speed to find the time:

1,274,400,000 km / 28,000 km per hour = 45,514.2857 hours.

Round to 45,514 hours.

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What is the ratio of the volumes of two similar rectangles, if the ratio of their perimeters is 2:9? ​
erma4kov [3.2K]

Answer:

Step-the base is equal to length * width.

the formula for the volume of a rectangular prism becomes length * width * height.

the ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.

so if the ratio of their volumes is 125/64, then the ratio of their corresponding sides id 5/4 because 5^3 = 125 and 4^3 = 64.

since the base area is equal to length * widfth, then the ratio of the areas becomes 5^2 / 4^2 which is equal to 25/16.

the ratio of the base area becomes 25/16.

to confirm, use an example:

original prism has dimensions as shown below:

length = 20

width = 40

height = 60

volume = 20 * 40 * 60 = 48000

base area = 20 * 40 = 800

prims that has sides in a ratio of 5/4 to original prism is shown below:

length = 20 * 5/4 = 25

width = 40 * 5/4 = 50

height = 60 * 5/4 = 75

volume = 25 * 50 * 75 = 93750

base area = 25 * 50 = 1250

ratio of the volumes = 93750 / 48000 = 1.953125

ratio of the base areas = 1250 / 800 = 1.5625

125/64 = 1.953125

25/16 = 1.5625

the formulas work.

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the ratio of the base area is 25/16by-step explanation:

volume = 20 * 40 * 60 = 48000

base area = 20 * 40 = 800

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length = 20 * 5/4 = 25

width = 40 * 5/4 = 50

height = 60 * 5/4 = 75

volume = 25 * 50 * 75 = 93750

base area = 25 * 50 = 1250

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2 years ago
What value does the 9 represent in the number 53.89?
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Answer:

Step-by-step explanation:

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