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3 years ago

An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle? degrees

Mathematics

2 answers:

ElenaW [278]3 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{deg}{rad}=\frac{360}{2\pi}=\frac{180}{\pi}\\ \\ deg=\frac{180rad}{\pi}\\ \\ deg=\frac{180(4.3)}{\pi}\\ \\ deg=\frac{774}{\pi}^o\\ \\ deg\approx 246^o$

Thepotemich [5.8K]3 years ago

4 0

Answer:

246

Step-by-step explanation:

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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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1 year ago

Mario was making cookies. He mixed 2½ cups of flour, 1¼ cups of sugar and ½ cup of brown sugar together in a bowl. How many cups

STatiana [176]

Answer:

4 1/4

Step-by-step explanation:

2 1/2 + 1 1/4 + 1/2 = 5/2 + 5/4 + 1/2

LCM = 4

5/2 x 2/2 = 10/4

5/4 = 5/4

1/2 x 2/2 = 2/4

10/4 + 5/4 + 2/4 = 17/4

= 4 1/4

Therefore he put 4 1/4 cups altogether.

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