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Ierofanga [76]
3 years ago
10

Please help me thank you and show all work

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0
Proportional:
82.8 / 92 = 0.9
73.8 / 82 = 0.9
so
FG / 47 = 0.9
FG = 47 * 0.9
FG = 42.3

answer

The distance between 2 campsites is 42.3 m.



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Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?
QveST [7]
This is an example of the difference of squares.

a^2 - b^2 = (a-b)(a+b)

So to find the product of <span>(9y</span>²<span> – 4x)(9y</span>²<span> + 4x), we use the formula for the difference of squares.

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Answer:

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Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

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Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

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Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

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By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

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                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

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