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shusha [124]
3 years ago
10

Using trig ratios to find the missing side or angle of a right triangle

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
5 0

\\ \sf\longmapsto cos31=\dfrac{12}{x}

\\ \sf\longmapsto 0.85=\dfrac{12}{x}

\\ \sf\longmapsto x=\dfrac{12}{0.85}

\\ \sf\longmapsto x=14.11

Lilit [14]3 years ago
3 0
<h2>>> Answer </h2>

________

\:

cos (31°) = 12/x

0.85 = 12/x

x = 12/0.85

x ≈ 14.1

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What is the value of angle x°?
erastova [34]

Answer:

64^\circ

Step-by-step explanation:

Please refer to the attached figure for the labeling and construction in the given figure:

Given that minor angle of arc AB is 116^\circ.

Or in other words, we can say that angle subtended on the center O by the arc is 116^\circ.

Now, PA and PB are the tangents so, if we join the center of circle O with A and B, the angles formed are right angles.

i.e.

\angle PAO = 90^\circ\\\angle PBO = 90^\circ

Now, we know that sum of internal angles of a quadrilateral is equal to 360^\circ.

Here, we have the quadrilateral AOPB.

\therefore \angle PAO +\angle PBO+\angle AOB +\angle APB=360^\circ\\\Rightarrow 90+90+116+x=360^\circ\\\Rightarrow x = 360 - 180 - 116\\\Rightarrow x = 64^\circ

Hence, the correct answer is:

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4 years ago
a shoe store has a sale in which all shoes are priced at $33.00. the original price was $44. what is the percent of discount. ​
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Answer:

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Step-by-step explanation:

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4 years ago
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1. 2 Australian dollars equals 1 US dollar.
kolbaska11 [484]

The correct expression to convert the 22 AUD into USD is option A.

<h2>How do you convert the Australian dollars into US dollars?</h2>

Given that the value of 1 US dollar is equal to the value of 2 Australian dollars. We can write this as given below.

1 USD = 2 AUD

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The 22 Australian dollars can be converted as,

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Hence the correct expression to convert the 22 AUD into USD is option A.

To know more, follow the link given below.

brainly.com/question/19943359.

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Step-by-step explanation:

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