Given,
∠AOE = 30°
∠DOB = 40°
So, ∠EOD = 180 - (30+40) [angles on a straight line]
= 180 - 70
= 110
∠EOD = ∠COF [ vertically opposite angle]
∴ ∠COF = 110°
Answer:
13. 9.77 inches (rounded to 3 s.f.)
14. 249m² (rounded to 3 s.f.)
Step-by-step explanation:
13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2
× pi × 7 × 2 = 3
pi
= 9.77 inches (rounded to 3 s.f.)
14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r
× pi × 10 × 10 = 79
pi
= 249m² (rounded to 3 s.f.)
<span>z=5-2i
</span><span>|z| = [ (5^2 + (-2)^2) ] ^ 0.5
= ( 25+4) ^ 0.5
= 29^0.5 </span>