Answer:
The answer is 12.
Step-by-step explanation:
You would multiply each of them by 12 to get rid of all of the fractions.
This is because 12 is the least common multiple of the denominators. You can find that by lining up their multiples and looking for the one that is the smallest that they have in common.
3: 3, 6, 9. 12. 15
4: 4. 8. 12. 16, 20
6: 6. 12. 18. 24. 30
Answer:
-20
Step-by-step explanation:
(r + b − g)(b + g)
we have fom statement:
r = 9
b = 5
g= −6
so we have:
(r + b − g)(b + g)= (9+5-(-6))*(5+(-6))
(r + b − g)(b + g)= (14+6)*(-1)
(r + b − g)(b + g)= -20
Answer: The coefficient of determination = 0.6291
Step-by-step explanation:
Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.
The coefficient of determination is computed as:

Substituting given values, we get


Therefore, the coefficient of determination = 0.6291
Below is the solution, I hope it helps.
<span>i) tan(70) - tan(50) = tan(60 + 10) - tan(60 - 10)
= {tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}
ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to:
= 8*tan(10)/{1 - 3*tan²(10)}
iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10)
= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)}
= 3*tan(30) = 3*(1/√3) = √3 [Proved]
[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)},
{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
Use photo math it will be easier