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2 years ago

Graph the line y = 3r

Mathematics

1 answer:

vladimir1956 [14]2 years ago

5 0

Answer:

Graph the line y = 3r

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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side

maria [59]

Answer:

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

Step-by-step explanation:

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

cos(a) = $-\frac{1}{3}$

cos(b) = $-\frac{1}{4}$

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) = $\sqrt{(1-\text{cos}^2a)}$ ]

= $-\sqrt{\frac{8}{9}}$

= $-\frac{2\sqrt{2}}{3}$

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

sin(b) = $-\sqrt{1-(-\frac{1}{4})^2}$

= $-\sqrt{\frac{15}{16}}$

= $-\frac{\sqrt{15}}{4}$

By substituting these values in the identity,

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

= $\frac{1}{12}-\frac{\sqrt{120}}{12}$

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

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

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

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3 years ago

Every 2 seconds, the distance the mouse travels ___by ___feet!

Mrac [35]

(answer)increases, 22

(explanation)the numbers show that they increase going from 22 to 44 to 66. subtract 22 from either number (44 or 66) and youll get 22. add 22 to each number (44 and 66) and youll get the numbers 44 and 66, meaning the mouses travel increases by 22 feet.

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2 years ago

I've been looking in the study guide but can't find how to solve it

OLga [1]

The answer is -1/16 or -0.0625, do you need to see work?

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3 years ago

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in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the voters would vote the same w

Nina [5.8K]

Answer:

86%