A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
Answer:
I don't see any tables sorry
Answer:
There would be 7 swan boat rides out of which 6 will carry 6 people each but the last swan boat ride carries 4 people. 2 more people can join the swan boat ride.
Step-by-step explanation:
We are given the following information in the question:
A park guide plans the swan boat ride for 40 people.
Total number of people = 40
Number of people that can ride in 1 boat = 6
Number of boats required =
This can also be represented with the modulo function which gives the remainder.
Thus, there would be 7 swan boat rides out of which 6 will carry 6 people each but the last swan boat ride carries 4 people.
2 more people can join the swan boat ride.
I think its aprox. $1.42 per pound.
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
