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Firlakuza [10]
3 years ago
8

Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 divided by q and tan y° =

7 divided by r, what is the value of cos y°?

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0

Answer:

Cosy° = \frac{r}{q}

Step-by-step explanation:

From the picture attached,

By applying all trigonometric ratios in the given right triangle,

Siny° = \frac{7}{q} = \frac{\text{Opposite side}}{\text{Hypotenuse}}

tany° = \frac{7}{r} = \frac{\text{Opposite side}}{\text{Adjacent side}}

Therefore, Cosy° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

Cosy° = \frac{r}{q}

Therefore, Cosy° = \frac{r}{q} will be the answer.

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Solve x² + 11x +18=0 by factoring.
kirill [66]
-(11+sqrt(121-4*18))/2 = -(11 +sqrt(49))/2 = -9

Or

-(11-sqrt(121-4*18))/2 = -(11-sqrt(49))/2 = -2

D is the answer
5 0
2 years ago
Norton read 4 books during his vacation. the first book had 326 pages, the second had 288 pages,the third had 349 pages and the
Murrr4er [49]

The four books had an average of 341 pages

Step-by-step explanation:

Given

Total number of books = 4

Pages in first book = x1 = 326

Pages in second book = x2 = 288

Pages in third book = x3 = 349

Pages in fourth book = 401

The average is given by:

Average=\frac{Sum\ of\ pages}{number\ of\ books}\\=\frac{x_1+x_2+x_3+x_4}{4}\\=\frac{326+288+349+401}{4}\\=\frac{1364}{4}\\=341

The four books had an average of 341 pages

Keywords: Average, Division

Learn more about average at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

8 0
3 years ago
M∠GHI = 3x° and m∠LMN = 17x°. If ∠GHI and ∠LMN are supplementary, find the measure of each angle.
Savatey [412]
If they are supplementary then 3x + 17x = 180

20x = 180

x = 9     
m<GHI = 27 degrees
m < LMN = 153 degrees
3 0
3 years ago
Read 2 more answers
Can the sum of two mixed numbers be equal to 2?
igomit [66]
No it cant because a mixed number is over one unless that mixed number is negative
3 0
3 years ago
Read 2 more answers
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload
zimovet [89]

Answer:

  • m = (2-(-2))/(2-(-2)) = 4/4 = 1
  • y +2 = 1(x +2)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (x1, y1) is ...

  y -y1 = m(x -x1)

To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...

  m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope

The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...

  y -(-2) = 1(x -(-2))

  y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in

__

The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.

8 0
3 years ago
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