Csc theta=-2 then theta equals csc^-1(-2) then theta would equal 5pi/6, 7pi/6
Answer:
The total cost for each health club would be the same after 4 months.
Step-by-step explanation:
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
For studio A:
Membership fee = $22.00
Monthly Fee = $24.50
The equation for studio A:
For studio B:
Membership fee = $47.00
Monthly Fee = $18.25
The equation for studio B:
Let 'x' be the month of membership
We must have to find the value of month or 'x' for which the total cost at each health studio is the same.
i.e. when A = B
Hence, the expression will be
A = B
22 + 24.5x = 47 + 18.25x
Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same
i.e.
22 + 24.5(4) = 47 + 18.25(4)
22 + 98 = 47 + 73
120 = 120
so, at x=4 the equations become the same.
Therefore, the total cost for each health club would be the same after 4 months.
Answer:
(2, 7, 1)
Step-by-step explanation:
We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z
3x + y - 2z = 11
4x - 2y + z = -5
x + 5y - 4z = 33
We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.
We can add 2 times the second row to the first row and 4 times the second row to the third row to get
11x - 3y = 1
4x - 2y + z = -5
17x -3y = 13
We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then
11x - 3y = 1
4x - 2y + z = -5
6x = 12
From the third row, we can gather that x= 2. We can then plug that into the first row to get
22 -3y = 1
subtract 22 from both sides
-3y = -21
divide both sides by -3
y = 7
We can then plug our x and y values into the second row to get
4(2) - 2(7) + z = -5
8 - 14 + z = -5
-6 + z = -5
add 6 to both sides
z = 1
Our answer is thus (2, 7, 1)
Just divide 28 by 4 and get 7. It`s obvious
A) 1104/ 138 = 8
B) 1st = 30/2 = 15, 2nd = 15/2 = 7.5, 3rd = 7.5/2 = 3.75, 4th 3.75/2 = 1.875, 5th = 1.875/2 = 0.9375, 6th = 0.9375/2 = 0.46875, 7th = 0.46875/2 = 0.234375, 8th = 0.234375/2 = 0.117 = 0.12
Answer is B
