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seraphim [82]
3 years ago
15

A square picture on the front page of a newspaper occupies an area of 24 square inches. Find the length of each side of the squa

re. Leave your answer in simplest radical form
Mathematics
2 answers:
ryzh [129]3 years ago
8 0

Answer:

2√6 inches

Step-by-step explanation:

Since the picture is a square the lengths of each side are equal and their measure is √24

= √4*√6

= 2√6  in simplest form

Hoochie [10]3 years ago
5 0

Answer:

Well if you are trying to find the length of each side you Divide 24 by 4 so your answer would be 6

Step-by-step explanation:


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Ellie has a bank account balance of -$43.39 if she makes it deposited $50 in your account what will be her new balance?
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3 years ago
the graph of a sinusoidal function has a minimum point at (0,-3) and then intersects its midline (1,1). write the formula of the
rjkz [21]

Answer:

The sinusoidal function is y = 1 + 4 \cdot \sin \left[\frac{\pi}{2} \cdot \left(x-1\right)\right].

Step-by-step explanation:

The sinusoidal function has the following form:

y = x_{o} + A \cdot \sin (\omega \cdot x + \phi)

Where:

A - Amplitude, dimensionless.

\omega - Angular frequency, measured in radians.

x_{o} - Independent component of the midpoint value, dimensionless.

\phi - Phase angle, measured in radians.

Amplitude is the absolute value of the difference between dependent component of the midline and absolute minimum:

A = |1-(-3)|

A = 4

Let suppose that sinusoidal function has its initial value at absolute minimum. Then:

x_{o} = 1

Now, phase angle has to be determined:

-3 = 1 + 4\cdot \sin (\omega \cdot 0 + \phi)

-4 = 4 \cdot \sin \phi

\sin \phi = -1

\phi = \sin^{-1}\,(-1)

\phi = -\frac{\pi}{2}

The angular frequency of the function is now determined by substituting all remaining variables and clearing it within sinusoidal function:

1 = 1 + 4\cdot \sin \left(\omega \cdot 1 - \frac{\pi}{2} \right)

4\cdot \sin \left(\omega - \frac{\pi}{2} \right) = 0

\sin \left(\omega - \frac{\pi}{2} \right) = 0

\omega - \frac{\pi}{2} = \sin^{-1}\,0

\omega = \frac{\pi}{2}

Lastly, the sinusoidal function is:

y = 1 + 4\cdot \sin \left(\frac{\pi}{2} \cdot x - \frac{\pi}{2} \right)

y = 1 + 4 \cdot \sin \left[\frac{\pi}{2} \cdot \left(x-1\right)\right]

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3 years ago
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