Answer:
C
Step-by-step explanation:
Both Holly and Emily have the same account balance thus it is equal to
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.
Abcdefghijklmnopqrstuvwxyz
Answer:
100ft
Step-by-step explanation:
H over S
H over 125 then 4 over 5
cross Multiply would give you
5H = 500
500 ÷ 5 is 100
Answer:
L = 19
W = 18
Step-by-step explanation:
Equation
- P = 2*(L + W)
- Let the Width = W
- Then the Length = W + 1
Givens
- P = 74
- The two consecutive numbers are one after the other.
Solution
- 2*(L + W) = 74 Substitute W + 1 for L
- 2(W + 1 + W) = 74 Combine like terms on the left
- 2(2W + 1) = 74 Remove the brackets on the left
- 4W + 2 = 74 Subtract 2 from both sides.
- 4W + 2 - 2 = 74 - 2 Combine
- 4W = 72 Divide by 4
- 4W/W = 72/4 Do the division
- W = 18
- L = 18 + 1 = 19
Note: If the assumption is incorrect, please finish your sentence with odd or even consecutive numbers. I've used the word consecutive to be un modified. That way consecutive means one number after another.