Hello :
tan²(θ) = 3.. equi : tan(θ) = √3 or tan(θ) = -√3
1 ) tan(θ) = √3
tan(θ) = tan(<span>π/3)
</span>θ = π/3 +kπ k in Z
2)tan(θ) = -√3
tan(θ) = tan(-π/3)
θ = -π/3 +kπ k in Z
Answer:
36,060,024 ways
Step-by-step explanation:
To choose the winner in this case, the order is very important because it determines who is chosen first out of the seventy-nine customers whose names were entered for the draw.
The above supports the reason Permutation will be used instead of Combination.
The total number of ways is given by:
⁷⁹P₄ = 79!/(79-4)!
= 79!/75!
= [79 x 78 x 77 x 76 x75!]/75!
= 79 x 78 x 77 x 76
= 36,060,024 ways
This implies that there are 36,060,024 ways the Bean Coffee Shop could choose the winners.
Answer:
Of the basketball players on the team, exactly 75% of the players have heights above 180
Step-by-step explanation:
So, they are 12 basketball players in total
1 - 170 - This is 1/12
2 - 175 - This is 1/6
1 - 180 - This is 1/12
4- 185 - This is 1/3
3 - 190 - This is 1/4
1 - 195 - This is 1/12
75% (Or 3/4) have heights above 180
Therefore, the answer is B
Answer:
2 hours and 24 minutes
Step-by-step explanation:
2 hours at 60 km/h means you have travelled 2*60=120 km
120 km at 50 km/h takes 120/50 = 2.4 hours
2.4 hours is 2 hours and 0.4*60 = 24 minutes.
Answer:
The answer is 56.52 square centimeters
Step-by-step explanation:
The area of a circle is Pi R^2 so that means the area of a semi circle is half of that which is Pi R^2/2
since diameter is 12, radius = 12/2 = 6
Area = (3.14 × 6^2)÷2 = 56.52