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3 years ago

If 2x=5,3y=4,and 4z=3, what is the value of 24xyz

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

24(5/2)(4/3)(3/4)
=
18

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See question in attached photo.<br>Answer question 4b and 5c

sdas [7]

9514 1404 393

Answer:

4b: 8.6 m/s²; 1.3×10^5 N; 2.1×10^4 N decrease

5c: -1.6×10^12 J; -1.6×10^12 J

Step-by-step explanation:

i) The acceleration due to gravity is inversely proportional to the square of the distance between the objects. The distance to the shuttle is ...

1 + (5×10^5)/(6.4×10^5) = 69/64 . . . times the radius of the earth

Then the acceleration due to gravity at the height of the space shuttle is about ...

(10 m/s²)(64/69)² ≈ 8.6 m/s²

ii) The weight of the space shuttle at that height is about ...

F = ma = (15000 kg)(8.6 m/s²) ≈ 1.3×10^5 N

iii) The loss of weight will be ...

ΔF = m(a1 -a0) = (15000 kg)(10 m/s² -8.6 m/s²)

= 1.5×10^4×1.4 N = 2.1×10^4 N

____

i) The gravitational potential energy is given by ...

U = -GMm/r

where M and m are the mass of the earth and the rocket, respectively.

U = -(6.67×10^-11)(6.0×10^24)(2.5×10^4)/(6.4×10^6) ≈ -1.6×10^12 J

ii) At a height of 3×10^4 m, the denominator in the above expression changes from 6.4×10^6 to 6.43×10^6. This changes the gravitational potential energy by a factor of 6.4/6.43 to -1.6×10^12 J

(Note: we're carrying only 2 significant figures in the result in accordance with the rules for precision in such calculations. The change is noticeable at the level of the 4th significant figure, less than 1/2%.)

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3 years ago

Can someone help me asap? pls

yanalaym [24]

Answer:

Step-by-step explanation:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height hope this helped somehow ;-; sry if not

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3 years ago

Need help asap or Im going to fail this class

nydimaria [60]

Answer:

The first four.

Step-by-step explanation:

There are 3 main postulates. SSS, SAS, and AAS. This simply refers to how we prove a triangle congruent. With SSS, all 3 sides must be congruent (either proven or given). AAS is when you have 2 angles congruent with a side next to one of the angles. NOT IN BETWEEN (there's an image as to what I'm talking about below). Finally, SAS. This is when you have a set of angles congruent with sides on each side congruent as well (look at the first four as an example of this.

Any more specific questions, feel free to ask!

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3 years ago

7.42 is what percent of 50 ?

Debora [2.8K]

3.71 is the answer:)
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3 years ago

If I was born in 1946 what year was I twenty years old

oee [108]

Answer:

If you was born in 1946 you would be twenty years old in:

1946+20

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