They need 7 cars for the field trip.
Step-by-step explanation:
The given is,
27 students are going to field trip
4 students in each car
Step:1
Let, T = Total students are going field trip
X = Students in each car
Y = Number of cars need for field trip
Step:2
From given,
T = 27
X = 4
Step:3
Numbers of cars need for field trip,
Y = 
Y = 
= 
Y = 6.75 ( For the car, we need to convert the answer into whole number)
Y = 7 cars
Result:
They need 7 cars for the field trip, If 27 students are going on a field trip 4 students in each car.
$26.60, take 72/50.40 to find how much money it is per minute. Set that equal to 38/x- x being the unit price you’re trying to find. Then cross multiply to get $26.60
P should equal 3. hope this helps.
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
