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Rama09 [41]
3 years ago
7

a standard deck of 52 playing cards contains 13 cards in each of 4 suits. what is the appropriate probability that exactly three

of the cards are diamonds?
Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

2%

Step-by-step explanation:

After 4 cards are drawn at random, that leaves 48 cards. 1 divided by 48 is .0208.

Hence, 2%

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Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????
VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}

So we need to begin with the definition of tangent, we know that tan (x) =\frac{sin(x)}{cos(x)} and we can do this:

tan (x+y) = \frac{sin (x+y)}{cos(x+y)}   (1)

We also have the following identities:

sin (a+b) = sin (a) cos(b) + sin (b) cos(a)

cos(a+b)= cos(a) cos(b) - sin(a) sin(b)

Now we can apply those identities into equation (1) like this:

tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos(x) cos(y)} we got this:

tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}

And simplifying we got:

tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}

And that complete the proof.

8 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
masha68 [24]

Answer:

The answer is 114 degrees.

Step-by-step explanation:

Since the angles are opposite from each other, it will be the same degrees.

6 0
3 years ago
PLEASE HELP!! (Give reasonable answer)
gladu [14]

Answer: B

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7 0
3 years ago
What is the product of 9 times 2
kondaur [170]

Answer:

18

Step-by-step explanation:

product means the sna=swer of a multiplication problem, so 9x2=18

6 0
3 years ago
Read 2 more answers
The radius of a cylinder is 3 cm and the height is 6 cm.
mars1129 [50]

Answer:

Lateral Area of a Cylinder = 2πrh

=2π x 3 x 6

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Option D

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2 years ago
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