List 3 reasons you listen to music and tell how each influences your mood.

1 answer:

6 0

Answer: It provides a total brain workout.” Research has shown that listening to music can reduce anxiety, blood pressure, and pain as well as improve sleep quality, mood, mental alertness, and memory.

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Find area of parallelogram multiple choice

alina1380 [7]

In ∆ABD

$\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)$

In ∆BCD

$\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)$

Now

IN PARALLELOGRAM ABCD

$\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)$

Option A

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allochka39001 [22]

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The point (8,-4) lies on a circle. What is the length of the radius of this circle if the center is located at (5,-7)

Kamila [148]

Notice the picture, the radius is just the distance from the
center to a point on the circle, thus

$\bf \textit{distance between 2 points}\\ \quad \\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{5}}\quad ,&{{ -7}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ -4}})
\end{array}\qquad 
% distance value
\\\\\\
\begin{array}{llll}
d = &\sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}$

$\bf \begin{array}{llll}
d = &\sqrt{({{ 8}}-{{ 5}})^2 + ({{ -4}}-{{(-7)}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}
\\\\\\
d=\sqrt{(3)^2+(-4+7)^2}\implies d=\sqrt{3^2+3^2}\implies d=\sqrt{18}
\\\\\\
d=\sqrt{9\cdot 2}\implies d=\sqrt{3^2\cdot 2}\implies d=3\sqrt{2}$

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4 years ago