Pleaseee help guys:(
2 answers:
Answer:
Step-by-step explanation:
Note that this looks like the identity:
cos(A + B) = cosAcosB - sinAsinB.
In this case, A = π/12 and B = 3π/4. So, we can say that the given equation:
cos(π/12)cos(3π/4) - sin(π/12)sin(3π/4) = cos(π/12 + 3π/4) = cos(π/12 + 9π/12) = cos(10π/12) = cos(5π/6)
Ah, now we have a trigonometry problem we can easily solve!
cos(5π/6) = -cos(π/6) = -(√3)/2
Hope this helps!
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ANSWER:
b) No
c) Yes
EXPLANATION:
b)
3 (-8 + 1) = 3 x -8 + 3
(3 x -8) (3 x +1) = 3 x -8 + 3 (just put left and right sides into calcu separately)
-72 = -21
Both sides are not equal and therefore it isn't a solution.
c)
3 (0.5 + 1) = 3 x 0.5 + 3
(3 x 0.5) (3 x +1) = 3 x 0.5 + 3
4.5 = 4.5
Both sides are equal and thereofre it IS a solution.
Answer:
0.18% probability that they are all women
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the senators are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
3 women, from a set of 13. So
Total outcomes:
3 senators, from a set of 100. So
Probability;
0.18% probability that they are all women