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White raven [17]
3 years ago
11

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagon

al. Which measurement is closest to the length of the diagonal in inches?
Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer:

13.9 in

Step-by-step explanation:

Use the Pythagorean Theorem to answer this.  Folding the paper along its diagonal produces two triangles; each one has shorter side 8.5 in and longer side 11 in.  According to the Pyth. Thm., (8.5)^2 + 11^2 = 193.25, which results in the diagonal length √193.25, or approx. 13.9 in.

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the formula to find the period of orbit a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbits mean radius. If y
Oxana [17]

Answer:

<u>The correct answer is r = ∛GM*T²/4π²</u>

Step-by-step explanation:

Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:

T^2=(4pi^2/GM)r^3

T² = (4π²/GM) * r³

r³ = T²/ (4π²/GM)

r³ = T² * GM/4π²

r³ = GMT²/4π²

∛r³ = ∛GM*T²/4π²

r = ∛GM*T²/4π²

<u>The correct answer is r = ∛GM*T²/4π²</u>

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