Answer:
<h3>6</h3>
Step-by-step explanation:
Given the expression sin(9z − 1) = cos(6z + 1), for 0 < z ≤ 90, we are to find z
Note that sin theta = cos(90-thetsa)
sin(9z − 1) = cos(6z + 1)
cos (90 - (9z-1)) = cos(6z + 1)
cos (90 - 9z+1)) = cos(6z + 1)
cos (91-9z) = cos(6z + 1)
Cos will cancel out to have;
91-9z = 6z+1
-9z - 6z = 1-91
-15z = -90
z = 90/15
z = 6
Hence the value of z is 6
2 solutions because you have 2 different equations
The first thing to do is organize all the given data so that you won't be confused which is which. Let's denote all the given that belongs to the marathon runner with a subscript of 1 and that of the trackman with a subscript of 2. The first equation we could do is find the sum of time:
t₁ + t₂ = 3 hours and 1 minute
For consistency, let's convert minute to hours.
1 minute (1 hour/60 minutes) = 1/60
Total time = 3+1/60 = 3.0167 hours
t₁ + t₂ = 3.0167 hours ----> equation 1
The other equation is the total distance. When you multiply speed with time, the answer would be distance. Thus.
9t₁ + 12t₂ = 28 miles ----> equation 2
Since there are two unknowns and 2 equations, the system is solvable:
t₁ = 3.0157 - t₂
9(3.0167 - t₂) + 12t₂ = 28
t₂ = 0.2832 hour, and
t₁ = 3.0157 - 0.2832 = 2.733 hours
Therefore, the distance run by the marathon runner is
9*2.733 = 24.597 or approximately 24 3/5.
Step-by-step explanation:
Go and learn numbers , it will be 1 2 3 4 5
Answer:
I graphed all three of those equations and none are similar to the graph shown
Step-by-step explanation:
