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max2010maxim [7]
3 years ago
6

Suppose x=9 tan (theta) and the angle (theta) is in the first quadrant. Write algebraic expressions for sin (theta) and cos (the

ta) and in terms of x .
Mathematics
1 answer:
9966 [12]3 years ago
3 0
The tangent trigonometric function is equal to the  quotient of sine and cosine through the trigonometric identity. In this case, we are given with x = 9 tan (theta). Hence the answer to this problem is the expounded algebraic expression x = 9 sin (theta) / cos (theta).
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A play train travels around a christmas tree in a circle. the train tracks measure 6 feet in diameter. what is the length of the
mixas84 [53]
1.8288 de diâmetro
1pés e equivalente a 0.3048 e so multiplicar por 6 que vai da 1.8288
3 0
3 years ago
A figure has vertices at L(3,3), M(2,4), and N(−1,0). After a transformation, the image of the figure has vertices at L′(2,−5),
alexandr402 [8]

The transformation was a reflection over the line x = -0.5

And the image and preimage can be seen in the graph below.

<h3>How to identify the preimage and image?</h3>

First, the original vertices are:

L(3, 3)

M(2, 4)

N(-1, 0)

3 vertices means that our figure is a triangle.

Now, the transformed vertices are:

L'(2, -5)

M'(3, -4)

N'(-1, 1)

And the graph of both sets can be seen below.

Now we can try to identify the transformation.

Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5

This is a clear implication that the transformation was a reflection over the line x = -0.5

If you want to learn more about transformations:

brainly.com/question/4289712

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3 0
1 year ago
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
Lostsunrise [7]

Answer:

Given the function in the question

f(x) = |x-3| + 2

a) state the name of the function

  Absolute value function

  since it is similar to f(x) = |x|

b) identify the independent and dependent variable  

x = independent variable (input variable)

f(x) or y = dependent variable  (output variable)

The variable which we assign the value we call the independent variable,    and the other variable is the dependent variable, since it value depends on  the independent variable.

c) identify the rule

A function is an equation that has only one answer for y for every x.

d) evaluate the function

given x = -5

 f(-5) = |-5 - 3| + 2

        = |-8| + 2

        = 8 +2

        = 10

8 0
3 years ago
La asistencia al partido de fútbol fue de 102.653. ¿Cuál es el valor del dígito 6?
Veseljchak [2.6K]

600

Espero que esto te ayude

5 0
3 years ago
Read 2 more answers
How many real solutions does this system of equations have? xy = 9<br> y = 3x - 1
tekilochka [14]

Answer:

two real, unequal roots

Step-by-step explanation:

y is definied as y = 3x - 1.  Substitute 3x - 1 for y in xy = 9, obtaining:

x(3x - 1) = 9.  Then:

3x^2 - x - 9 = 0.  In this quadratic, the coefficients are a = 3, b = -1 and c = -9.

Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109.  Because the discriminant is positive, we have two real, unequal roots.

6 0
3 years ago
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