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EastWind [94]
1 year ago
14

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

n x° and cos y° share?
A right triangle is shown with one leg measuring 8 and another leg measuring 6. The angle across from the leg measuring 6 is marked x degrees, and the angle across from the leg measuring 8 is marked y degrees.
Mathematics
1 answer:
Inessa [10]1 year ago
8 0

Using relations in a right triangle, it is found that:

  • \sin{x} = \frac{6}{10} = 0.6
  • \cos{y} = \frac{6}{10} = 0.6
  • Since x and y are complementary angles, we have that sin(xº) = cos(yº).

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

The hypotenuse in this problem is given as follows:

h^2 = 6^2 + 8^2

h = \sqrt{100}

h = 10.

The sine of x is:

\sin{x} = \frac{6}{10} = 0.6

The cosine of y is:

\cos{y} = \frac{6}{10} = 0.6

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

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2. A function g(x) is defined by the diagram shown below.
skad [1K]

Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).

a). For input value x = 7, out put value of the function is y = 9.

   Therefore, g(7) = 9 will be the answer.

b). Range of the function g(x) is the set of output values.

    Range: {12, 9, 9, 17}

c). Inverse of the function g(x) will have,

   Domain: {12, 9, 9, 17}

   Range: {4, 7, 10, 15}

   For input value of x = 9, there are two output values y = 7, 10.

   Since, "a function can't have two output values for the same input value".

   Therefore, inverse of the function g(x) will not represent a function.

8 0
3 years ago
A lil help please T.I.A
ASHA 777 [7]

Answer:

A. x=32 and x=o

YOUR WELCOME

4 0
3 years ago
The yearbook club had a meeting. The meeting had 6 people, which is two-thirds of the club. How many people are in the club?
timofeeve [1]
The answer would be 9 because if you add one more 3rd to the number 6 that would be 3 so 3 * 3 = 9 there are 9 people in the book club
4 0
2 years ago
Read 2 more answers
Where each input has only one output value is called a(n)
omeli [17]

C. Function

Hope this helps.

r3t40

8 0
2 years ago
The product of 5 and a number X is 1/4
Sloan [31]

Hi!

5x = 1/4

5x = 0.25

<h3>Divide by 5 on both sides</h3>

5x/5 = 0.25/5

x = 0.05

<h3>Convert 0.05 to a fraction</h3>

5/100

<h3>Simplify the fraction</h3>

1/20

<h2>The answer is X=1/20</h2>

Hope this helps! :)

-Peredhel

5 0
3 years ago
Read 2 more answers
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