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
Preston has 19 games and Horatio has 30 games.
You can set this as a system of equations, set Preston as x and Horatio as y.
Both of the amounts add up to 49, so we can get the equation:
x+y=49
Since Horatio has 11 more games, we can get the equation:
y-x=11
If we add the x to the other side, the second equation becomes:
y=x+11
We can plug in the second equation into the first and get the equation:
x+11+x=49
with a little simplification, we get x (Preston) is equal to 19. If we add 11 to it, we get Horatio's amount: 30
Answer:
cost was 252
Step-by-step explanation:
Show all work including equations
Answer:
the slope is -2
Step-by-step explanation:
30 people are already in the cabin.
If there’s 2/3 of the people that the cabin can carry, and 15 more can board, the 15 is the remaining 1/3, so to get the other 2/3 that we don’t know, you multiply 15 by 2, to get 30.
So all together, the cabin can carry 45 people.
Hope this helps!