Answer:
Step-by-step explanation:
Let
When x = 0, y = 6. So, = k(1 ) = k
Since k = 6 we have
When x = 1, y = 12.
So
b = 2
Therefore, the exponential function is
Answer:
B = 34.77°
Step-by-step explanation:
For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:
This can be rearranged to find the angle B:
With lowercase letters being sides and uppercase being angles.
We simply plug in the sides and solve:
<em>0.8214 = Cos (B)</em>
Then you use inverse cosine to get angle B alone.
<em>B = 34.77°</em>
Answer:
(-1,-2)
Step-by-step explanation:
For a point (a,b) rotated 90° counterclockwise about the origin, it's new coordinates are (-b,a).
So since C is originally (-2,1), it's new coordinates are (-1,-2)
Given a regular pentagon,
Two sides of the pentagon are produced to form angle x.
Therefore, x is an interior angle
We know that the Sum of exterior angles of a pentagon = 360°
In a regular pentagon, all angles are equal,
Therefore, each exterior angle of a regular pentagon = 360/5
= 72 degrees
We also know that an exterior angle and its corresponding interior
angle are supplements.
Therefore, each interior angle of a regular pentagon = 180 –
72 = 108 degrees
Therefore, x = 108 degrees