The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
Answer:
Option B. 
Step-by-step explanation:
we know that
The area of a circle is equal to

we have

substitute

Remember that
radians subtends the complete circle of area 
so
by proportion
Find the area of the related sector for a central angle of
radians
Let
x------> the area of the related sector

Answer:
C)
Step-by-step explanation:
if the shapes were rotated it would be easier to prove that the shape are congruent. Hope this helps :)
This problem requires the Pythagorean therom.
The distance between them is 7.
Since the distance between them is one more mile than ray's distance from home ray is 6 miles from home.
So rosa is 
So rosa is
miles away from home.
Rosa is about 3.6 miles from home.