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kakasveta [241]
3 years ago
9

NASA is building a satellite that is roughly the shape of a sphere. If the satellite weighs 14.25 pounds per cubic foot before l

aunch, and has a diameter of 4.7 feet, what is the total weight in pounds of the satellite on Earth? Use π = 3.14.
Mathematics
1 answer:
klasskru [66]3 years ago
6 0

Answer:

774 lb

Step-by-step explanation:

weight = volume * density

radius = diameter/2

volume = (4/3)πr^3

volume = (4/3)(3.14)(4.7/2 ft)^3

weight = (4/3)(3.14)(4.7/2 ft)^3 * 14.25 lb/ft^3

weight = 774 lb

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3 years ago
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Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of
Tom [10]

Question:

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.

\frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}

Which is Abel’s error?

Abel should have written the ratio as 24 metres/7 metres

Abel should have written the ratio as 24 metres/42 metres

Abel should have divided both numbers by 6.

Abel should have divided both numbers by 4.

Answer:

Abel should have divided both numbers by 6.

Step-by-step explanation:

Given

Measured Length of backyard = 42m

Actual Length of backyard = 24m

Measured Ratio: \frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}

Required

Error in calculation of measured ratio

From Abel's calculation:

It can be observed that He divided both numbers by 7

Though 42/7 = 6 but that's not so for 24/7

24/7≠4;

Instead 24/7 = 3.43 (Approximated)

To get the actual ration, he has to divide both numbers by the highest common factor

The common factors of 42 and 24 include 2,3,6 of which the highest is 6

Hence; HCF of 42 and 24 = 6

So, we can conclude that the error in his calculation is having not dividing both numbers by 6

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3 years ago
Read 2 more answers
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Evgesh-ka [11]
9. answer is 12
10. answer is 3.5
11. answer is 23
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3 years ago
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