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Harrizon [31]
3 years ago
7

Which value is equivalent to​

Mathematics
1 answer:
mezya [45]3 years ago
4 0
7^2 I think is the write answer
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Step-by-step explanation:

division

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A wave travels down a string with a velocity of 512 m/s. If the string has a length of 6.84 meters, what is the second harmonic
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Suppose you are going to graph the data in the table.
Svetradugi [14.3K]

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The correct representation of data on x-axis and y-axis is:

x-axis: minutes in increments of 5; y-axis: temperature in increments of 5

Step-by-step explanation:

The minutes will be plotted along the x-axis with increment of 5 minutes because the minutes represents here the independent variable

and the temperature will be plotted along the y-axis with the increment of 5 degrees Celsius because the temperature denotes the dependent variable.


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3 years ago
Q. If the word problem is asking you to find the space inside the circle, which formula should you use?
77julia77 [94]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Cos^2 x+4sin^2 x/2=1
lana [24]

Let\ \dfrac{x}{2}=a,\ therefore\ x=2a.\\\\\cos^2x+4\sin^2\dfrac{x}{2}=\cos^22a+4\sin^2a\\\\\text{use}\ \cos2x=\sin^2x-\cos^2x\\\\=(\sin^2a-\cos^2a)^2+4\sin^2a\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(\sin^2a)^2-2(\sin^2a)(\cos^2a)+(\cos^2a)^2+4\sin^2a\\\\=\sin^4a-2\sin^2a\cos^2a+\cos^4a+4\sin^2a\\\\=\underbrace{\sin^4a+2\sin^2a\cos^2a+\cos^4a}_{(*)}-4\sin^2a\cos^2a+4\sin^2a\\\\\text{use}\ (*)\qquad(a+b)^2=a^2+2ab+b^2

=\underbrace{(\sin^2a)^2+2\sin^2a\cos^2a+(\cos^2a)^2}_{(*)}-4\sin^2a(\cos^2a-1)\\\\=(\sin^2a+\cos^2a)^2-4\sin^2a(\cos^2a-1)\\\\\text{use}\ \sin^2a+\cos^2a=1\to\sin^2a=\cos^2a-1\\\\=1^2-4\sin^2a(\sin^2a)=1-4\sin^4a=1-(2\sin^2a)^2

\cos^22a+4\sin^2a=1\\\\1-(2\sin^2a)^2=1\qquad\text{subtract 1 from both sides}\\\\-(2\sin^2a)^2=0\to2\sin^2a=0\qquad\text{divide both sides by 2}\\\\\sin^2a=0\to\sin a=0\\\\a=k\pi\ for\ k\in\mathbb{Z}\\\\\dfrac{x}{2}=k\pi\qquad\text{multiply both sides by 2}\\\\\boxed{x=2k\pi\ for\ k\in\mathbb{Z}}

6 0
3 years ago
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