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tatiyna
3 years ago
7

Sin θ = 12/37. Find tan θ.

Mathematics
2 answers:
ivann1987 [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = \frac{opposite}{hypotenuse}

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

12^2 + b^2 = 37^2

b = 35

tanθ = \frac{opposite}{adjacent} = 12/35

Choice B is the correct answer.

EastWind [94]3 years ago
5 0

Answer:

Step-by-step explanation:

using sin inverse rule to get  theta

sin^{-1} (\frac{12}{37} ) =18.9246  <---- theta

so tan(18.9246) =12 /35

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Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

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<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

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3 years ago
Which of the following is the correct graph of the compound inequality 4p + 1 &lt; −11 or 6p + 3 &gt; 39?
mrs_skeptik [129]

The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

<h3>Linear Inequalities </h3>

From the question, we are to determine the graph for the given compound inequality

The given compound inequality is

4p + 1 < −11 or 6p + 3 > 39

Solve the inequalities separately

4p + 1 < −11

4p < -11 - 1

4p < -12

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OR  

6p + 3 > 39

6p > 39 - 3

6p > 36

p > 36/6

p > 6

Thus,

p < -3 OR p > 6

Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

Learn more on Linear Inequalities here: brainly.com/question/5994230

#SPJ1

4 0
1 year ago
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Furkat [3]

\huge\bold{\purple{\bold{⚡133°⚡}}}

Step-by-step explanation:

Co interior angles' sum is 180°

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2 years ago
(1 point) Divide and simplify your answer.
VashaNatasha [74]

Answer:

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Step-by-step explanation:

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3 years ago
You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two e
Alenkinab [10]

First, let's count:

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