2 years ago

A

Mathematics

1 answer:

tamaranim1 [39]2 years ago

7 0

Answer:

3000

Step-by-step explanation:

640x3 = 1920

90x12 = 1080

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HELP ON THIS PROBLEM!! Solve the following 0deg< x< 360deg: cos x= cos 2x

blsea [12.9K]

Answer:

$x=0^\circ,120^\circ,240^\circ,360^\circ$

Step-by-step explanation:

Use identities to set the equation up as a quadratic

$\cos x=\cos 2x;\:0^\circ \leq x \leq 360^\circ\\\\\cos x=2\cos^2 x-1\\\\0=2\cos^2 x-\cos x-1$

Make the substitution u=cos(x) and solve the quadratic

$0=2u^2-u-1\\\\0=(2u+1)(u-1)$

$\displaystyle 0=2u+1\\\\0=2\cos x+1\\\\-1=2\cos x\\\\-\frac{1}{2}=\cos x\\\\120^\circ,240^\circ=x$

$0=u-1\\\\0=\cos x-1\\\\1=\cos x\\\\0^\circ,360^\circ=x$

Hence, $x=0^\circ,120^\circ,240^\circ,360^\circ$

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2 years ago

Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened

inysia [295]

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3 years ago

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Lelu [443]

Answer:

Step-by-step explanation:

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3 years ago

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liberstina [14]

Answer:

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Step-by-step explanation:

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