why are there two values of theta if tan theta = 0.4226

Answers

Answer 1

Answer:

[tex]22.91^\circ, 202.91^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan\theta=0.4226[/tex]

To find:

The two values of [tex]\theta = ?[/tex]

Solution:

By given equation:

[tex]\theta = tan^{-1}(0.4226)[/tex]

[tex]\theta[/tex] can be equal to [tex]\approx 20.91^\circ[/tex]

Also, we know the property that, [tex]tan\theta[/tex] is positive in the 3rd quadrant.

and following is also true:

[tex]tan\theta = tan(180^\circ+\theta)[/tex]

Therefore, another value possible for [tex]\theta[/tex] can be:

[tex]\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ[/tex]

Therefore, the answer is:

[tex]22.91^\circ, 202.91^\circ[/tex]


Related Questions

What are the slope and the equation for the graph?

Answers

Answer:

Slope= 2/3, Equation= y=2/3x+2

Step-by-step explanation:

Which expression is equivalent to
-3/2 - 1/5

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Answer:

- 17/10

Step-by-step explanation:

PLEASE HELP ITS TIMED
The inside of an oven is set to rise to a temperature of 298F . So far it has risen 76% of this amount.
Which would be the best way to estimate the number of degrees Fahrenheit the inside of the oven has risen so far?
Find 70% of 200.
Find 80% of 300.
Find 80% of 200.
Find 70% of 300.

Answers

Answer:

Find 70% of 300

Step-by-step explanation:

I calculated the different percentages, and 70% of 300 was the one that came closest to 76% of 200.

eleven times onennumber is 9 more than 8 times another number. the first number minus four is half the second number. find the numbers

Answers

Answer:

I'm pretty sure its 11 and 14

Step-by-step explanation:

Sorry if i'm wrong or can't help more.

Is -5 a solution to the equation 6x + 5 = 5x + 2x? Explain?

Answers

No -5 is not a solution. The correct answer would be 5.

Explanation:
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6x+5 = 7x
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—————-
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The graph shows the relationship between distance driven and gallons of gas used.

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Answers

Answer: 30 and 80

So the care gets *30* miles gallon.

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Answer:

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Step-by-step explanation:

The function y=0.75x + 2 represents the cost y (in dollars) of an ice cream sundae with x toppings. A sundae comes with 1, 2, 3, or 4 toppings. Identify the independent and dependent variables, the domain, and the range.​

Answers

Answer:

Please check answer for explanation

Step-by-step explanation:

The independent variable is x

The dependent variable is y

The domain is the range of values of x

That will be 1-4

Now let’s get the range, the range just represent the y-values of the terms in the domain

at x = 1

y = 0.75(1) + 2 = 2.75

at x = 4

y = 0.75(4) + 2 = 3 + 2 = 5

The range is 2.75 to 5

f(x)=2(4)^x is it linear or exponential?
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Answers

Answer:

[tex]f(x)=2(4)^x is \: exponential \\the \: slope \:or \: multiplier \: = 2[/tex]

Which of these numbers rounds to 7.62

7.546
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HELP mE

Answers

Answer:

7.639

Step-by-step explanation:

7.639 rounds to 7.64 which is the closest on I could find to 7.62.

Answer:

 I think the answer is 7.636

Step-by-step explanation:

A car travels 35 miles in 3 hours. At this rate, how many miles will the car travel in ½ hour? (Convert answer to a fraction)

Answers

Answer:

5 5/6 miles

Step-by-step explanation:

There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is

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Answers

Answer:

LCMit will take 80 calls

Step-by-step explanation:

The solution  is  LCM

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kindly let me know if you need further clarification on this

Regards

BRAINLEST ANSWER!! please show the steps

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Answers

Step-by-step explanation:

4(2x-7)+4>-88

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-8x<65    I call this the negative switch, but it is called something else

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Answers

Answer:

About 11 feet

Step-by-step explanation:

You have to find the [tex]\sqrt{125}[/tex], which is equal to 11.18033989. You round down to 11 feet.

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Answers

Answer:

3%

Step-by-step explanation:

2 meter = 200cm

6cm/200cm = 3/100

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Answers

Answer:

8 21/25

Step-by-step explanation:

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hope i helped.

Answer:

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Step-by-step explanation:

3 2/5 x 4 1/3

convert to improper fraction

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

The correct answer is B: ∠DGB is supplementary to ∠CGB. I got it right on my test.

Step-by-step explanation:

From the diagram option (B) ∠DGB is supplementary to ∠CGB can be proven true

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Two angles or arcs whose sum is 180 degrees.

From the given figure we can say that

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Learn more about Supplementary angle here

https://brainly.com/question/13045673

#SPJ2

1 1 1
-x -xxxx -x 1 1
=
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x 1 1 1 1 1
X
1
1
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4
B)
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D)
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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lol. ijayabuahysbwush

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