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Pani-rosa [81]
4 years ago
14

5x + 10y +30z

Mathematics
1 answer:
ratelena [41]4 years ago
3 0

Answer:

The answer is 5x + 10y + 30z.

the can't be combined because they all have different variables.

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32.71cm² is the area

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the number that represents the equal numbet of parts that equal a whole in a fraction? a. numerator. b.denominator. c.expression
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B. Denominator. Denominator is the answer
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Please help :) <br> Due asap and thx!
Elenna [48]

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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})

5 0
3 years ago
If 14y - 4 = 24y + 26 , then 12y =
harkovskaia [24]
Solutions 

To solve the equation we have to isolate 12y

14y - 4 = 24y + 26&#10;&#10;-4 - 26 = 24y - 14y&#10;&#10;-30 = 10y&#10;&#10;10y = -30&#10;&#10;y =- -30/10&#10;&#10;y = -3&#10;&#10;12y =12/-3&#10;&#10;12y = -36&#10;&#10;Therefore, 12y = -36
4 0
3 years ago
Read 2 more answers
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