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Alina [70]
3 years ago
9

Use a calculator to find angle theta for which tan theta = 2. Round to the nearest hundredth.

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

in degrees: theta = 63.43°

in radians: theta = 1.11 rad

Step-by-step explanation:

To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.

Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:

atan(2) = 63.435°

So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.

Be sure to check in the calculator if the answer is given in degrees or radians.

In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)

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Write your answer in simplest radical form.​
pantera1 [17]

9514 1404 393

Answer:

  √3

Step-by-step explanation:

The ratio of the short sides to the hypotenuse in an isosceles right triangle is ...

  1 : 1 : √2

This means ...

  p·√2 = √6

  p = (√6)/(√2) = √(6/2)

  p = √3

6 0
3 years ago
Jika 5log2 = x dan 5log6 = y, maka nilai 4log150 adalah​
icang [17]

Menjawab:

y + 2x

Penjelasan langkah demi langkah:

Menulis ulang pertanyaannya

4log5 = x

4log 6 = y

4 log 150 = 4log (2 * 3 * 5 * 5)

= 4log 6 + 4log 5 + 4log 5

Substrat

= y + x + x

= y + 2x

Oleh karena itu ekspresi yang dibutuhkan adalah y + 2x

7 0
3 years ago
A ​used-droid dealership buys a droid for ​$2900 and then sells it for ​$4300. What is the percent​ increase?
Anna71 [15]

The percent increase is 48.28

Step-by-step explanation:

Given,

Purchase price of used-droid = $2900

Selling price of used=droid = $4300

Profit = Selling price - purchase price

Profit = 4300-2900 = $1400

Percent increase = \frac{Profit}{Purchase\ price}*100

Percent\ increase=\frac{1400}{2900}*100\\\\Percent\ increase=\frac{140000}{2900}\\\\Percent\ increase=48.275\%

Rounding off to nearest hundredth;

Percent increase = 48.28%

The percent increase is 48.28

Keywords: percentage, subtraction

Learn more about percentages at:

  • brainly.com/question/12148432
  • brainly.com/question/12223460

#LearnwithBrainly

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3 years ago
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evablogger [386]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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You are designing a container in the shape of a cylinder. The radius is 5 inches. You want the container to hold at least 725π c
12345 [234]

Answer:

The answer to your question is: h = 14.5 in

Step-by-step explanation:

Data

radius = 5 in

Volume = 725 π in³

height = ?

Formula

               Volume = 2πr²h

           

Substitution

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                    h = 725π / 2πr²

                    h = 725 / 2(5)²

                    h = 725 / 50

                    h = 14.5 in

3 0
3 years ago
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