Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)
Answer:
i would say b
Step-by-step explanation:
Answer:
(1/2, 1)
2
Step-by-step explanation:
x² + y² − x − 2y − 11/4 = 0
x² − x + y² − 2y = 11/4
Complete the squares.
x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1
(x − 1/2)² + (y − 1)² = 4
The center of the circle is (1/2, 1) and the radius of the circle is 2.
A unit rate is a ratio that has a denominator of 1. A unit rate is also called a unit ratio. (They mean the same thing.)
Hope this helps :)
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be 
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is
Taking the first derivative of this with respect to and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of 
w.r.t is
And setting this = 0 gives
Eliminating 
on both sides and solving for 
gives us
Plugging this value of into the original equation gives us
This is the maximum value that the function can acquire. The attached graph shows this as correct
