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Morgarella [4.7K]
3 years ago
9

In what quadrant is an angle of 1.75 found

Mathematics
2 answers:
GarryVolchara [31]3 years ago
4 0
Quad I

Hope this helps!
den301095 [7]3 years ago
4 0
Quad 1 because 1.75 is less than 90 degress
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50 points please give step by step instruction
fenix001 [56]

Answer:

<u> </u>x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

<em>Change cos2x to 1 - 2sin^2x:</em>

1 - 2sin^2x + 2 sinx = sin^2x

<em>Shift the terms to make it a quadratic equation:</em>

3 sin^2x - 2sinx - 1 = 0

<em>F</em><em>a</em><em>c</em><em>t</em><em>o</em><em>r</em><em>i</em><em>s</em><em>e</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>q</em><em>u</em><em>a</em><em>d</em><em>r</em><em>a</em><em>t</em><em>i</em><em>c</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em>:</em>

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

<em>S</em><em>o</em><em>l</em><em>v</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>i</em><em>n</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>:</em>

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

<u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

<em>S</em><em>o</em><em>l</em><em>v</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>i</em><em>n</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>3</em>

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u>

Hence, <u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

[<em>S</em><em>o</em><em>r</em><em>r</em><em>y</em><em> </em><em>i</em><em>f</em><em> </em><em>I</em><em> </em><em>a</em><em>m</em><em> </em><em>w</em><em>r</em><em>o</em><em>n</em><em>g</em><em> </em><em>:</em><em>(</em><em> </em>]

8 0
4 years ago
A is the point with coordinates (4,6)
DerKrebs [107]

Answer:

d = 9

Step-by-step explanation:

Calculate the slope of ab then equate to 3.

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = \frac{21-6}{d-4} = \frac{15}{d-4} = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

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3 years ago
A bus makes a stop at 2:30, letting off 15 people and letting on 9. The bus makes another stop ten minutes later to let off 4 mo
nika2105 [10]
(-19)+9=-10, so there is 10 less people on the bus

4 0
3 years ago
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Answer:Yes i do

Step-by-step explanation:

Your welcome :)

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3 years ago
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She made $22.5 of commission
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