Answer:
Find the sixth term of the geometric sequence when a4=−8 and r=0.5
Step-by-step explanation:
Let the unknown number be y.
We can list the equation out by the clues given.
5y + 12 = 52
Then solve this as simple algebra!
Shift +12 to the other side and be - 12
5y = 52-12
5y = 40
Shift x5 to the other side and be ÷5
y = 40 / 5
y = 8
Therfore the unknown number is 8.
Answer:
The answer will be listed below.
Step-by-step explanation:
First of all, you want x to by itself, so distribute the three to both x and negative 4 so you'll get 3x-12=2x+6.
Now, subtract 2x from both sides and add 12 to both sides and you'll get an answer of x=19. From that, you are able conclude that this equation has one solution.
Multiplying fractions 12x5/9= The Answer Is 20/3
Answer:
B. 33
Step-by-step explanation:
The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...
x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2
x = 33
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The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...
Sin = Opposite/Hypotenuse
Tan = Opposite/Adjacent
Using these relations, we can find the sides of interest:
Opposite = Hypotenuse × Sin . . . . for the 45° triangle
Opposite = Adjacent × Tan . . . . . . for the 60° triangle
where the side opposite the 45° angle is the side adjacent to the 60° angle.
