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olya-2409 [2.1K]
1 year ago
8

Select all the correct answers. If the measure of angle 0 is 5(pi)/4, which statements are true?

Mathematics
1 answer:
elixir [45]1 year ago
8 0

Finding the equivalent angle of \theta, the correct statements are given as follows:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the given angle is as follows:

\theta = \frac{5\pi}{4}

It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:

\frac{5\pi}{4} - \pi = \frac{5\pi}{4} - \frac{4\pi}{4} = \frac{\pi}{4}

The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

More can be learned about equivalent angles at brainly.com/question/24787111

#SPJ1

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A) What is the slope and the y-intercept of the equation?
Zielflug [23.3K]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-3}{4-0} = \frac{-3}{4} = - \frac{3}{4}

The y- intercept is where the line crosses the y- axis

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

(b)

y = - \frac{3}{4} x + 3 ← equation of line

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3 years ago
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Nookie1986 [14]

Answer:

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4 0
2 years ago
Negative solution for Multi-step equations
nydimaria [60]

Answer:

\frac{1}{2}(4x+6)+3x=7x+9

\frac{1}{2}(4x+8)+3x=7x+9

Step-by-step explanation:

By putting the numbers in the given equation,

\frac{1}{2}(4x+6)+3x=7x+9

2x + 3 + 3x = 7x + 9

5x + 3 = 7x + 9

(5x + 3) - 7x = (7x + 9) - 7x

(5x - 7x) + 3 = 9

-2x + 3 = 9

(-2x + 3) - 3 = 9 - 3

-2x = 6

-\frac{2x}{2}=\frac{6}{2}

-x = 3

x = -3

Therefore, our equation is correct which has a negative result.

In place of 6 if we use 8, value of x will be negative again.

3 0
3 years ago
The baker had some oil. He used 4 2/6 cups of oil to make cakes and 3 2/6 cups of oil to make cookies. Now he has 2 4/6 cups of
bogdanovich [222]
4 2/6 + 3 2/6 + 2 4/6 = 10 2/6 or 10 1/3
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