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siniylev [52]
4 years ago
9

47 lbs = ______________ kgs (give answer in decimal form)

Mathematics
2 answers:
creativ13 [48]4 years ago
8 0
1 pound is equal to about 0.45 kilograms.  47 lbs would be about 21.31 kilograms.
Lyrx [107]4 years ago
4 0

"lbs" (pounds) is a measure of force, whereas "kgs" (kilograms) is
a measure of mass.  Being different units with different physical
dimensions, they can never be 'equal'.

-- 47 lbs is the weight of 64.9 kgs of mass on Mars.
-- 47 lbs is the weight of 128.8 kgs of mass on the Moon.
-- 47 lbs is the weight of 21.3 kgs of mass on Earth.
.
.
etc.

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nydimaria [60]

a. Recall the double angle identities:

\sin^2x=\dfrac{1-\cos2x}2

\cos^2x=\dfrac{1+\cos2x}2

Then

\sin^2x\cos^2x=\dfrac{(1-\cos2x)(1+\cos2x)}4=\dfrac{1-\cos^22x}4

Applying the identity again, we have

\sin^2x\cos^2x=\dfrac{1-\frac{1+\cos4x}2}4=\dfrac{2-(1+\cos4x)}8=\dfrac{1-\cos4x}8

as required.

b. Using the result from part (a),

\sin^2x\cos^2x=\dfrac{1-\cos4x}8=\dfrac{2-\sqrt2}{16}

\implies\cos4x=\dfrac1{\sqrt2}

\implies4x=\dfrac\pi4+2n\pi\text{ or }4x=-\dfrac\pi4+2n\pi

(where n is any integer)

\implies\boxed{x=\pm\dfrac\pi{16}+\dfrac{n\pi}2}

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