Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
The slope of the line is “rise over run.” That’s the vertical change between the two points (the difference in the y-coordinates) divided by the horizontal change over the same segment (the difference in the x-coordinates).
For this case we have an equation of the form:
y = A (b) ^ x
Where,
A: initial height
b: growth rate
x: time
Substituting values we have:
y = 6 (2) ^ x
Answer:
An equation that best represent how tall the sunflower will b in x weeks is:
y = 6 (2) ^ x
For this case we have the following system of equations:

From the first equation we clear "x":

We substitute in the second equation:

We apply distributive property:

We add similar terms:

We add 65 to both sides:

We divide between 22 on both sides:

We look for the value of the variable "x":

Thus, the solution of the system is:

ANswer:

Answer:
24 sides
Step-by-step explanation:
a polygon cannot have a decimal number of sides, it is impossible
since the sum of these exterior angles in a regular polygon must equal 360 degrees. The maximum number of sides that would yield exterior angles that are integers is 360
because 360 ÷ 360 = 1.