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Inga [223]
3 years ago
15

Use a calculator to find the approximate angle measure of the following : cos^-1 (1/4)

Mathematics
1 answer:
Strike441 [17]3 years ago
3 0

Answer:

75.52^o

Step-by-step explanation:

Let

x ----> the measure of the angle

we have

cos(x)=\frac{1}{4}

using a calculator

Find the the measure of angle x

x=cos^{-1}(\frac{1}{4})

x=75.52^o

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Step-by-step explanation:

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3 years ago
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DENIUS [597]

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

\sqrt{\dfrac{896z^{15}}{225z^6}}=\dfrac{xz^4}{15}\sqrt{14z}\\\\\sqrt{\dfrac{896z^{15}}{225z^6}}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=\sqrt{\dfrac{(64)(14)z^{15-6}}{225}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b},\ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\\\\=\dfrac{\sqrt{64}\cdot\sqrt{14}\cdot\sqrt{z^9}}{\sqrt{225}}=\dfrac{8\cdot\sqrt{14}\cdot\sqrt{z^{8+1}}}{15}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=\dfrac{8\sqrt{14}\cdot\sqrt{z^8z}}{15}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}

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\dfrac{8z^4\sqrt{14z}}{15}=\dfrac{xz^4\sqrt{14z}}{15}\iff x=8

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