Answer:
- 150π ft²
- 10π ft.
Step-by-step explanation:
Area of the sector :
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
===========================================================
Length of the arc :
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Answer:
Step-by-step explanation:
90/15=6/z
6=6z
z=1
Answer:
Step-by-step explanation:
Let x = the age of the youngest child
Let x + 1 = the age of the middle child
Let x + 2 = the age of the oldest child
x + x + 1 + x + 2 = 39
3x + 3 = 39
3x = 36
x = 12 years
Answer:
42.78⁹, 137.22⁹.
Step-by-step explanation:
sine Ф=0.6792
Angle Ф in the first quadrant = 42.78 degrees.
The sine is also positive in the second quadrant so the second solutio is
180 - 42.78
= 137.33 degres.
a. a=40° (alternate interior angles)
b+40°=180°( supplementary angles)
b=140°
c= d= 140°( vertically opposite angles)
d=b=140°( corresponding angles)
b. 2a+120°=180° (supplementary angles)
2a=60°
a=30°
c. a+110°=180°( supplementary angles)
a=70°
b+70°=180°( supplementary angles)
b=110°
c+110°=180°( supplementary angles)
c=70°
c=d=70( corresponding angles)
