2 years ago

66 1/2% of x is 5. What is x?

Mathematics

1 answer:

mote1985 [20]2 years ago

7 0

Answer: Convert the problem to an equation using the percentage formula: Y/P% = X.

Y is 25, P% is 20, so the equation is 25/20% = X.

Convert the percentage to a decimal by dividing by 100.

Converting 20% to a decimal: 20/100 = 0.20.

Step-by-step explanation: :( :)

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What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)

nordsb [41]

Y = A cos(Bx + C)
A - amplitude
$\frac{2\pi}{B}$ - period
$- \frac{C}{B}$ - phase shift

$y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}$

Amplitude: 5
Period: $\frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi$
Phase shift: $- \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}$