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Allisa [31]
3 years ago
15

What is 4 over 18 in fractions

Mathematics
1 answer:
vredina [299]3 years ago
5 0
It is 4/18 which can be simplified into 2/9
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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
7/12 divided by 2/5 I need help thanks and bye
Law Incorporation [45]

hey there!

7/12 divided by 2/5 is 7/30

first you have to find the reciprocal for 2 / 5 can do that by flipping 2 / 5 you'll then get 5 / 2 now the rest is simple all you have to do is multiply 7/12 by 2/5 so you multiply 7 by 2 and you get 14 that's your numerator 10 divide 12 by 5 and you'll get 60 so now you have 14 / 60 7 / 30 now you simplify and you get

I hope I helped please mark me brainliest

baiiiiiii

3 0
3 years ago
The weight of a Great blue heron, a type of bird, can grow to around 4 pounds, but can vary. Let W be a random variable that rep
hammer [34]

Answer:

10 ≥  w  ≥  9 ( ? )

Step-by-step explanation:

the probability that a Great blue heron is at least 9 pounds, but no more than 10 pounds         ->      w= weight of great blue heron

w is at lest 9 pound's ->   w ≥ 9

w is no more than 10 pound's ->   w ≥ 10

w ≥  9 ( + )  w ≥  10    =     10 ≥  w ≥  9

6 0
3 years ago
What are the intercepts of x^2+y-9=0
Dmitry_Shevchenko [17]

Answer:

Zeros

x = -3   point (-3 ,0)

x = 3   point (3 ,0)

Step-by-step explanation:

Using a graphing calculator, we can easily check the intercepts of the equation

y  = -x^2 +9

8 0
3 years ago
Which of the following statements best describes the location of −(−5) on a number line?
Korolek [52]
Hello,

-(-5) is also known as just a plain positive 5. When two negatives are multiplied together, they make the number positive. So, the location of -(-5) on a number line would be on the number 5. I hope this helps!

May
8 0
3 years ago
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