The answer is 6.375 hope it help
In place of t, or theta, I'm going to utilize x instead. So the equation is -3*cos(x) = 1. Get everything to one side and we have -3*cos(x)-1 = 0
Let f(x) = -3*cos(x)-1. The goal is to find the root of f(x) in the interval [0, 2pi]
I'm using the program GeoGebra to get the task done of finding the roots. In this case, there are 2 roots and they are marked by the points A and B in the attachment shown
A = (1.91, 0)
B = (4.37, 0)
So the two solutions for theta are
theta = 1.91 radians
theta = 4.37 radians
List all the factors.
Factors of 15: 1, 3, 5, 15
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The common factors of 15, 45, and 90 are 1, 3, 5, and 15.
If the original container can hold 64 halogen lamps and the new container can hold 8 lamps, then
64/8 = 8
There will 8 smaller containers needed to pack all of the 64 lamps from the original large cubed-shaped container.
The number of adult tickets and children tickets sold were 92 and 220 respectively
What differentiate adult tickets from children's
The adult tickets can be represented by a while children's ticket is c
The total number of tickets sold which is 312 means the sum of a and c
a+c=312
Total value of adult tickets=a*12
total value of children tickets=c*5
12a+5c=2204
Solve for a in the first equation
a=312-c
substitute for a in the second equation
12a+5c=2204
12(312-c)+5c=2204
3744-12c+5c=2203
3744-2203=12c-5c
1541=7c
c=1541/7
c=220
a=312-220
a=92
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