Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the 
and the 
into the parentheses they are next to:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
~
Check your work by substituting 
into one of the equations above:
It's correct!
For the first graph, part a). The limit of f(x) as x approaches 2 from the LEFT follows the line y = 4, which ends at the hollow point (2, 4). This means that the limit is 4.
First graph, part b), The limit as x approaches 2 from the RIGHT follows y = -1, with a hollow point at (2, -1). This means that the limit is -1.
Second graph: We approach x = 3 from the left, following the downward sloping line which ends at the hollow point (3, -1). This means that the limit is -1.
Third graph: We approach x = 3 from the right, following the horizontal line that ends at (3, 3). This means that the limit is 3.
Note that when talking about one-sided limits, we use the hollow point's y-value which the function approaches. However, when looking at the value of f(x), we would use the solid point.
Answer:
1. Sine A = 3/5
2. Cos A = 4/5
3. Tan A = 3/4
4. Sine B = 4/5
5. Cos B = 3/5
6. Tan B = 4/3
Step-by-step explanation:
1. Determination of Sine A
Opposite = 3 in
Hypothenus = 5 in
Sine A =?
Sine A = opposite / Hypothenus
Sine A = 3/5
2. Determination of Cos A
Adjacent = 4 in
Hypothenus = 5 in
Cos A =?
Cos A = Adjacent / Hypothenus
Cos A = 4/5
3. Determination of Tan A
Opposite = 3 in
Adjacent = 4 in
Tan A =?
Tan A = opposite / Adjacent
Tan A = 3/4
4. Determination of Sine B
Opposite = 4 in
Hypothenus = 5 in
Sine B =?
Sine B = Opposite / Hypothenus
Sine B = 4/5
5. Determination of Cos B
Adjacent = 3 in
Hypothenus = 5 in
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 3/5
6. Determination of Tan B
Opposite = 4 in
Adjacent = 3 in
Tan B =?
Tan B = opposite / Adjacent
Tan B = 4/3
perpendicular to the given plane and passes through (6, 2, 7).
Answer:
360
Step-by-step explanation:
A circle has 360 degrees.
Here lesson started at 9 and finished at 10.
This means that her lesson was one hour.
A minute hand makes a full rotation in an hour.
It would have started at 12, and ended back at 12.
This means that it rotated 360 degrees.
