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liubo4ka [24]
3 years ago
11

What is the square root of -1

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

i

Step-by-step explanation:

\sqrt{-1} is the same thing as i, which is an imaginary number.

Since you can't take the square root of negative numbers, we use i to do it.

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2.2.3 Quiz: Angle Theorems
serious [3.7K]

The value of y is 40 degree , Option B is the correct answer.

<h3>What is Angle Sum Property ?</h3>

According to angle sum property, the sum of all angles of a triangle is equal to 180 degree.

It is given in the question a triangle  , here

the angles given are 2y , y+10 , 50 degree

From the property ,

2y + y +  10 +50 = 180

3y +60 = 180

3y = 120

y = 40 degree

Therefore The value of y is 40 degree , Option B is the correct answer.

To know more about Angle Sum Property

brainly.com/question/4316040

#SPJ1

8 0
2 years ago
Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
Danielle works as a cashier in a bookstore she works 35 hours a week and orange $11 an hour each week Daniel spend $300 and save
exis [7]
 Her estimate is not accurate because if you multiply 30 by 11 you would get 330. Then you multiply that by 52and you would get $10560 a year.
6 0
3 years ago
Read 2 more answers
Write the equation 24x-4y=96 in slope intercept form
SVEN [57.7K]
\displaystyle 24x-4y=96\Leftrightarrow 4y=24x-96\Leftrightarrow y= \frac{24x-96}{4}\Leftrightarrow y=6x-24
3 0
3 years ago
Hi can u pls help am trying to figure this out
LekaFEV [45]

Answer:

.

Step-by-step explanation:

3 0
3 years ago
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