We have that
<span>sin (7π/12)=?
we know that
</span>7π/12=(π/4+π/3)
and
<span><span>sin<span>(A+B)</span>=sin<span>(A)</span>cos<span>(B)</span>+cos<span>(A)</span>sin<span>(B)
then
</span></span>sin(π/4+π/3)=sin(π/4)cos(π/3)+cos(π/4)sin(π/3)
sin(π/4+π/3)=(√2/2)(1/2)+(√2/2)(√3/2)-------> (√2/4)+(√6/4)---> (√2+√6)/4
the answer is (√2+√6)/4
</span>
C…………………………x Mmmmmvvtvjvj I j I
Answer:
The probability is 52/83
Step-by-step explanation:
In this question, we are tasked with calculating the probability of having a student who is a sophomore or a student that wears glasses.
To do this, what we do is to first calculate the probability of having a student that is a sophomore, then calculate the probability of having a student wearing glasses. Now, considering the linking word or between the two cases, wherever we have or in probability, we are to add.
Firstly , let’s calculate the number of students we have = 6 + 13 + 5 + 27 + 9 + 23 = 83 students
The total number of sophomores we have is 5 + 27 = 32
Thus, the probability of having a sophomore is 32/83
The second case is that if a student that wears glasses. The total number of student wearing glasses is 6 + 5 + 9 = 20 students
The probability of finding a student wearing glasses is thus 20/83
Now, the probability of finding a student who wears glass or is a sophomore is 20/83 + 32/83 = 52/83
Answer:
10 (love biking)
Step-by-step explanation:
The ratio is 2(Skateboarding):5(biking) which, when doubled is; 4(skateboarding):10(biking)