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Homework 2.4

10th grade

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Question 1
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Q.
The sin ratio is...
answer choices
hypotenuse/opposite
opposite/hypotenuse
adjacent/opposite
adjacent/hypotenuse
<p>hypotenuse/opposite</p>
alternatives
<p>opposite/hypotenuse</p>
<p>adjacent/opposite</p>
<p>adjacent/hypotenuse</p>
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Question 2
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Q.
Find sin L
answer choices
15/39
36/39
39/36
39/15
<p>15/39</p>
alternatives
<p>36/39</p>
<p>39/36</p>
<p>39/15</p>
answer explanation
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Question 3
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Q.
Find sin M
answer choices
12/2
12/12
1
12/24
<p>12/2</p>
alternatives
<p>12/12</p>
<p>1</p>
<p>12/24</p>
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Question 4
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Q.
Find sin(x)
answer choices
6/8 = 3/4
6/10 = 3/5
8/10 = 4/5
10/8 = 5/4
<p>6/8 = 3/4</p>
alternatives
<p>6/10 = 3/5</p>
<p>8/10 = 4/5</p>
<p>10/8 = 5/4</p>
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Question 5
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Q.
$Solve\ for\ ?$
answer choices
3/25
6/50
$6\sin\left(50\degree\right)$
$50\sin\left(6\degree\right)$
<p>3/25</p>
alternatives
<p>6/50</p>
<p></p><p></p><p><span class="katex-container" data-idx="1" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>6</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>50</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">6\sin\left(50\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">6</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">5</span><span class="mord">0</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p><p></p><p></p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>50</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>6</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">50\sin\left(6\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">5</span><span class="mord">0</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">6</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
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Question 6
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Q.
Find x using the sine function.
answer choices
$22\cos\left(43\degree\right)$
$43\sin\left(22\degree\right)$
$22\sin\left(43\degree\right)$
$43\cos\left(22\degree\right)$
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>22</mn><mi>cos</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>43</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">22\cos\left(43\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">2</span><span class="mord">2</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">cos</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">4</span><span class="mord">3</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
alternatives
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>43</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>22</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">43\sin\left(22\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">4</span><span class="mord">3</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">2</span><span class="mord">2</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>22</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>43</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">22\sin\left(43\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">2</span><span class="mord">2</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">4</span><span class="mord">3</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>43</mn><mi>cos</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>22</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">43\cos\left(22\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">4</span><span class="mord">3</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">cos</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">2</span><span class="mord">2</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
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Question 7
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Q.
Find x
answer choices
$20\cos\left(67\degree\right)$
$20\sin\left(67\degree\right)$
$67\cos\left(20\degree\right)$
$67\sin\left(20\degree\right)$
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>20</mn><mi>cos</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>67</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">20\cos\left(67\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">2</span><span class="mord">0</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">cos</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">6</span><span class="mord">7</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
alternatives
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>20</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>67</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">20\sin\left(67\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">2</span><span class="mord">0</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">6</span><span class="mord">7</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>67</mn><mi>cos</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>20</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">67\cos\left(20\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">6</span><span class="mord">7</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">cos</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">2</span><span class="mord">0</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>67</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>20</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">67\sin\left(20\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">6</span><span class="mord">7</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">2</span><span class="mord">0</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
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Question 8
SURVEY
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Q.
Find Cos L
answer choices
39/15
15/36
15/39
36/39
<p>39/15</p>
alternatives
<p>15/36</p>
<p>15/39</p>
<p>36/39</p>
answer explanation
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Question 9
SURVEY
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Q.
Find cos M
answer choices
24/12
12/24
3/4
2/3
<p>24/12</p>
alternatives
<p>12/24</p>
<p>3/4</p>
<p>2/3</p>
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Question 10
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Q.
Find x
answer choices
$15\cos\left(30\degree\right)$
$30\cos\left(15\degree\right)$
$15\sin\left(30\degree\right)$
$30\sin\left(15\degree\right)$
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>15</mn><mi>cos</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>30</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">15\cos\left(30\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">1</span><span class="mord">5</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">cos</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">3</span><span class="mord">0</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
alternatives
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>30</mn><mi>cos</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>15</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">30\cos\left(15\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">3</span><span class="mord">0</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">cos</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">1</span><span class="mord">5</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>15</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>30</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">15\sin\left(30\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">1</span><span class="mord">5</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">3</span><span class="mord">0</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>30</mn><mi>sin</mi><mo>⁡</mo><mrow><mo fence="true">(</mo><mn>15</mn><mi mathvariant="normal">°</mi><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">30\sin\left(15\degree\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">3</span><span class="mord">0</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">1</span><span class="mord">5</span><span class="mord">°</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span></span> </span> </p>
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Question 11
SURVEY
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Q.
The cos ratio is
answer choices
opposite/hypotenuse
hypotenuse/opposite
adjacent/hypotenuse
hypotenuse/ adjacent
<p>opposite/hypotenuse</p>
alternatives
<p>hypotenuse/opposite</p>
<p>adjacent/hypotenuse</p>
<p>hypotenuse/ adjacent</p>
answer explanation
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