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slava [35]
3 years ago
8

Cle O has a circumference of 36 cm.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Answer:

The length of the radius is 72cm I believe

Step-by-step explanation:

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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
A train is pulling 23 red cars and 36 blue cars. Each car has 32 boxes of freight. Which is the best estimate for the number of
Len [333]

So the train is pulling about 50 cars in total, and there's about 30 boxes of freight in each car.


30 x 50 = 1500


The best estimate would be near 1500 boxes of freight through the whole train.

3 0
3 years ago
The area of a trapezium shaped field is 480m^2,the distance between two parallel
meriva

Answer:

Area of trapezium = 1/2 * h (a+b)

here, 480= 1/2 *15*(20+b)

(20+b)=960/15

or, b=64-20

therefore, b= 44

.....

Hope u got it...xd

3 0
3 years ago
What's the appropriate domain<br>please help ​
Yakvenalex [24]
Integers because it uses degrees
6 0
3 years ago
Read 2 more answers
What are the factors of 3x^2 + 23x − 8?
Margaret [11]
<span>3x</span>²<span> + 23x − 8 = 3x</span>² + 24x - x - 8 = 3x(x+8) - (x+8) = (x+8)(3x-1)
8 0
3 years ago
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