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adell [148]
3 years ago
9

Find the probability of rolling a sum of 3.

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

robability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B. - If P(A) = P(B) then events A and B are equally likely to occur.

Step-by-step explanation:

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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
two supplementary angles consist of one acute angle and one obtuse angle. a)always b)sometimes c) never
mel-nik [20]

the sum of supplementary angles equals 180°

you can have an acute angle (less than 90°) + an obtuse angle (greater than 90°) equal to 180°

But you can also have a right angle (equal to 90°) + another right angle equal to 180°

Answer: (b) sometimes

4 0
3 years ago
What is m&lt;1 <br><br> Pls help and show work
insens350 [35]

Answer: 30

Step-by-step explanation: Free math problem solver answers your algebra homework questions with step-by-step explanations.

You visited this page on 12/2/21.

8 0
3 years ago
Read 2 more answers
3. Write the standard equation of the circle with the given center that passes through the given
bearhunter [10]

Answer:

D is  correct.

Step-by-step explanation:

(x + 2)^2 + (y - 6)^2 = r^2

(-2+2)^2 + (10 - 6)^2 = r^2

r^2= (10 - 6)^2

r^2=16

5 0
3 years ago
Johnny needs to save $24.00 to buy a new video game. Three weeks after saving, he has $6.00. After 6 weeks, he has $12.00. If Jo
Mrrafil [7]
He will need to save up for 12 weeks because he is getting 2 dollars a week.
It says after 3 weeks he saved 6, so divide six by three and the answer meaning he makes 2 a week. Next divide 24 by 2 and you get 12.
4 0
3 years ago
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