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Crazy boy [7]
3 years ago
5

Write 2 expressions using trigonometric ratios that are equivalent to 40/41

Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

Two expression are:

\sin A = \frac{40}{41}

\cos B = \frac{40}{41}

Step-by-step explanation:

Let rt triangle ABC.

Now, labeling the parts of a right triangle.

Let the right angle be labelled C and the hypotenuse c and

A and B denote the other two angles, and a  and b the sides opposite them respectively.


In a right triangle ABC,

the  trigonometric ratio is given by:

\sin A = \frac{opposite}{Hypotenuse} = \frac{a}{c}=\frac{40}{41}

\cos B= \frac{Adjacent side}{Hypotenuse} = \frac{a}{c}=\frac{40}{41}

Therefore, the two expression which is equivalent to \frac{40}{41} is ; \sin A = \frac{40}{41}

\cos B = \frac{40}{41}



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A. The number 86,362,575 rounded to the nearest hundred is
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Answer:

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b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12   ×    [ 6     ×    [ 17

     9 ]          4 ]           13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

b)

Number of ways of selecting 25 item from 35 items;

⇒ [ 35        

    25 ]

=

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12   ×    [ 6     ×    [ 17

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= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

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So the required probability is 0.0445

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