By the angle difference formula for sines, we have:
By the angle sum formula for tangents, we have:
.
Rationalizing the denominator gives
as the final answer.
Answer:
r = 7
Step-by-step explanation:
60 = -24 + 12r
<u>+24 +24</u>
84 = 12r
84 ÷ 12 = r
7 = r
Check:
60 = -24 + 12r
-24 + 12(7)
-24 + 84 = 60
Answer:
C. 1,620 in^3
Step-by-step explanation:
Thank you!
Answer:
y increases by 2
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Given that In my data set of 10 exam scores, the mean turned out to be the score of the person with the third highest grade.
No two people got the same score.
Let the scores be a,b,c,d,e in ascending order where no two scores are equal
If a+b=d+e =2c then we can have c as the mean of the scores of 5 persons
This is because
Total sum = a+b+c+d+e = (a+b)+c+(d+e)
= 2c+c+2c=5c
Average= 5c/5 = c
It makes sense and there are chances as long as the above condition is satisfied.
