Draw arcs on either side of a given point on the line
There are 5 people who can be guards, 2 will be guards. Since each person has the same chance of becoming a guard, each person has a 2/5 chance of being a guard which makes it unlikely for Diana to become a guard.
Answer:
f = 14.26 m (2 dp)
Step-by-step explanation:
Sum of interior angles of triangle = 180°
⇒ missing angle = 180 - 40 - 90 = 50°
Using sin(A)/a = sin(B)/b = sin(C)/c
⇒ sin(40)/f = sin(50)/17
⇒ 17sin(40) = f sin(50)
⇒ 17sin(40) ÷ sin(50) = f
⇒ f = 14.26 m (2 dp)
The area of the rectangular pen is 10,000 m² and the area of the circular pen is 12,738.95 m².
For the rectangular pen, we want the sides to be congruent. To minimize perimeter and maximize area, the figure needs to be equilateral.
400/4 = 100 m for each side
This means that the area is 100(100) = 10,000 m².
If the pen is circular, this means the circumference is 400 m. Circumference is given by the formula C=πd:
400 = 3.14d
Divide both sides by 3.14:
400/3.14 = 3.14d/3.14
127.389 = d
The radius is half of the diameter:
r = 127.389/2 = 63.6945
The area of the circle is given by A=πr²:
A=3.14(63.6945)² = 12738.9465 ≈ 12738.95 m²
90+60+FDA=180
FDA=180-150
=30
C. 30 degrees