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il63 [147K]
3 years ago
9

What trigonometric function has the same value as sin 75?

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0
<span>Cosine and Sine are related by the formula cos(x)= sin(x+90). Setting x+90 equal to 75 results in x=-15, Therefore, cos(-15) = sin (75). Since cos is an even function, cos(15)=cos(-15)= sin(75).</span>
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Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.
stealth61 [152]

Answer:

The coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

  • x-coordinate of the point does not change, but
  • y-coordinate of the point changes its sign

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y)        →       P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y)        →       P'(x, -y)

A(2, 3)       →       A'(2, -3)      

B(5, 5)       →       B'(5, -5)

C(7, 3)        →      C'(7, -3)

D(5, 2)       →       D'(5, -2)

Therefore, the coordinates of ABCD after  the reflection across the x-axis would become:

  • A'(2, -3)
  • B'(5, -5)
  • C'(7, -3)
  • D'(5, -2)

8 0
3 years ago
What is the solution to this equation? 2x+4=16
AlekseyPX

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What multiplys to -90 and adds to 9?
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The answer would be 3
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Answer:

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let americans spend $a in 2014

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104.8%a=1180

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Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
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68+32=100 he used a $100 bill
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