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2 years ago

Solve for X. Round to the nearest tenth of a degree, if necessary. Show me how you solved it

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

5 0

Answer:

11. 39.0°

12. 31.0°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and the angles and sides in a right triangle.

The hypotenuse and the side opposite the unknown angle are given. The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(x°) = 39/62

The angle is found using the inverse sine function.

x° = arcsin(39/62) ≈ 39.0°

The hypotenuse and the side adjacent to the unknown angle are given. The relevant trig relation is ...

Cos = Adjacent/Hypotenuse

cos(x°) = 84/98

The angle is found using the inverse cosine function.

x° = arccos(84/98) ≈ 31.0°

<em>Additional comments</em>

These functions are found using a calculator. As shown in the attachment, the calculator must be set to show angles in degrees (not radians or grads). (This mode setting is shown in the lower left corner of the display: DEG.)

As shown in the attachment, these inverse functions are often the "second" function of the trig function keys of the calculator.

You can read these inverse functions as ...

arcsin(Q) = sin⁻¹(Q) ≡ "the angle whose sine is Q"

arccos(Q) = cos⁻¹(Q) ≡ "the angle whose cosine is Q"

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Rewrite the given equation as
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So, y(2)=0+4=4.
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2 years ago

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To find 15% of 23000,
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2 years ago

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5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability

Ksivusya [100]

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

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9 months ago

A bird traveled 4 miles north before stopping to rest. The bird then flew 2,640 yards south in search of food. Finally, it flew

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7 and 1/2 mile because 2,640=1.5 miles
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3 years ago

Which doesnt belong, and why? 9, 16, 25, 43

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Answer:

Step-by-step explanation:

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43 is not a perfect square.

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