3 tan³ t(theta) = tan t(theta)
3 tan³ t - tan t = 0
tan t ( 3 tan² t - 1 ) = 0
tan t = 0
t 1 = k π , k ∈ Z
3 tan ² t - 1 = 0
3 tan ² t = 1
tan ² t = 1/3
tan t = +/- √3/3
t 2 = π / 6 + k π
t 3 = - π / 6 + k π , k ∈ Z
The total charge would be $445.
Hope this helps!!
Answer:
4/35 lottery is easier to win.
Step-by-step explanation:
For the 5/48 lottery, the winning probability is 
≈0.1042
For the 4/35 lottery, the winning probability is 
≈ 0.1143
Since > , the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.
Hello there!
0.8 is not irrational
If a number can be written with a perfect fraction, it is rational
Hope I helped!
Let me know if you need anything else!
~ Zoe <span />
Answer: 64.29%
Step-by-step explanation:
Let the total earnings of the Lee family in May be x
Amount earned by Mr Lee in May = 60% of x = 0.6x
Amount earned by other family members in May = x - 0.6x (total earnings - Mr Lee's earnings) = 0.4x
Amount earned by Mr Lee in June = 20% more than what Mr Lee earned in May.
That is, amount earned by Mr Lee in June = 1.2 × 0.6x = 0.72x
Amount earned by other members of the family in June remains unchanged, that is = 0.4x
Total amount earned by the Lee family in June = 0.72x + 0.4x = 1.12x
Percentage of total earnings in June earned by Mr. Lee = (0.72x/1.12x) × 100% = 64.29%.
QED!
