Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
Since it’s a square room, each side has length of 300ft. Simply use the Pythagorean Theorom to find the length from one corner to the opposing corner.
300^2 + 300^2 = c^2
90000 + 90000 = c^2
180000=c^2
Find the square root of 180000
C= 424.264069
The length from opposing corners is roughly 424.26ft
the answer is 23.2558139535
Step-by-step explanation:
There are 21 socks in total. Only 7 of them are white.
When you pick your 1st sock, you have a 7/21 chance to get white.
When you pick your 2nd sock, you have a 6/21 chance to get another white, since you already picked a white.
So the probability to get a pair of white socks is 2/21.
1st is 40/100 = 4/10 =40%
2nd is 52/100 =26/50 = 52%
3rd is 24/100 = 6/25 = 24%
4th is 9/100 = 9/100 = 9%
