The solution would be like this for this specific problem:
sin(θ°) = √(2)/2
θ° = 360°n + sin⁻¹(√(2)/2) and θ° = 360°n + 180° −
sin⁻¹(√(2)/2)
θ° = 360°n + 45° and θ° = 360°n + 135° where n∈ℤ
360°*0 + 45° = 45°
360°*0 + 135° = 135°
360°*1 + 45° = 405°
<span>sin(225°) = -√(2)/2
</span>225 has an angle where sin theta= -(sqrt2)/2 therefore, the value of theta
cannot be 225 degrees.
Answer:
362880 ways
Step-by-step explanation:
The word dragonfly has 9 different letters.
So, to find how many ways this word can be arranged, we just need to calculate the factorial of 9:
First letter has 9 possibilities
Second letter has 8 possibilities (one used)
Third letter has 7 possibilities (two used), and so on.
So the number of ways is:
9*8*7*6*5*4*3*2*1 = 362880 ways
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and G = {1, 2, 3, 4, 5, 6, 7}. What is G?
Nesterboy [21]
Your posted question defines G, then asks what G is.
G is the set in the definition you gave.
G = {1, 2, 3, 4, 5, 6, 7}
_____
Perhaps you want to know the complement of G. That is all the elements of U that are not in G.
G' = {8, 9, 10}
The factor of 12 is 1, 2 , 3 , 4 , 6 , 12
Hope it helps.
Answer:
Bottom prism: 126*11=1386
Top Prism: 2*45=90
Total volume: 1386+90= 1746 cubic cm