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:
Step-by-step explanation:
Given the data table :
x : __ $2_ $14_ _$20 __ $100
P(x) : 0.40_ 0.20 _0.20 _0.20
The mean :
E(x) = Σ(x*p(x))
E(x) = (2*0.4) + (14*0.2) + (20*0.2) + (100*0.2)
E(x) = 27.6
The standard deviation :
SD(x) = sqrt(Σ(x² * p(x)) - E(x)²)
Σ(x² * p(x)) - E(x)² :
((2^2*0.4) + (14^2*0.2) + (20^2*0.2) + (100^2*0.2)) - 27.6^2
2120.8 - 761.76
= 1359.04
Sqrt(1359.04)
SD(x) = 36.865159
SD(x) = 36.87
Answer:
3x+7
Step-by-step explanation:
Answer:
The question seems incomplete.
Step-by-step explanation:
Answer:
3.15cm
Step-by-step explanation:
1. Determine where the given numbers go in formula for the volume of the cone.
2. Multiply ⅓ and 12cm to get 4
3. Isolate the section with unknown variables by dividing 125 and 4 to get 31.25 (rounded)
4. Now isolate the r² by dividing π by 31.25 to get 9.95
5. Take the square root of r and 9.95 to get rid of the exponent.
6. The radius is the answer of square rooting 9.95
7. If asked to check your answer, fill in the formula for the volume of the cone with the radius and round the answer to see if you get the volume you were originally given.
Hope this helps! :)
