Answer is 47.25
BRAINLIST?
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
- r = √(3V/(πh))
- r ≈ 5.03 feet
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = (1/3)πr²h
This formula can be used to find the radius, or we can rearrange it to solve for the radius:
3V = πr²h . . . . multiply by 3
(3V)/(πh) = r . . divide by the coefficient of r²
r = √(3V/(πh)) . . . . take the square root
__
We can fill in the given values to find the radius.
r = √(3·225/(π·8.5)) = √(1350/(17π)) ≈ 5.03 . . . . feet
Answer:
7
Step-by-step explanation:
Answer:
hhyhh
Step-by-step explanation: