Answer:
1a: 6.283
b: 51.313
c: 285.1
Step-by-step explanation:
Area of a sector = (angle/360)πr²
1a
Area=(45/360)π(4²)=6.283
b
Area=(120/360)π(7²)=51.313
c
Area=(270/360)π(11²)=285.1
Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
Open bracket
The maximum value of c is:
Where:
By comparison:
So, we have:
Why?
Because if you draw a line from A to D to make a triangle AED, then triangle all angle add up equal 180.
Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
the two triangles are congruent
