Step-by-step explanation:






C. 5/6b = 140
(*assuming b = total number of cards)
If the piles have an equal number of cards and 5 out of the 6 piles were put in the collection, 5/6 of the cards were put into the collection. The total number of cards put in the collection is 140, so 5/6b=140.
X = 3/2 or 1 1/2
Both of the equations equal -10, therefor the equations are equal.
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
Answer: The third one
C.
Step-by-step explanation: