Answer:
Step-by-step explanation:
The largest cross-section of a sphere is the center.
So, we have:
Where
Solving (a): The radius
implies that
Express as fraction
Divide by
Make r the subject
Solving (b): Area of the largest cross-section.
Solving (b): Volume of the sphere
Answer:
51 and 91
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles, thus
(8)
∠ GCD is an external angle of the triangle, so
35° + x = 86° ( subtract 35° from both sides )
x = 51°
(9)
∠ YUV is an external angle of the triangle, thus
x = 29° + 62° = 91°
1) if ∠J=∠E and ∠G=∠A ⇒ ΔCJG ~ Δ<span>CEA
2) </span>if ∠J=∠E and JC:JC=JG:EA ⇒ ΔCJG ~ Δ<span>CEA
3) </span>if JC:JC=JG:EA= CG:CA ⇒ ΔCJG ~ Δ<span>CEA</span>
Answer:
Euler's Formula = F+V=E+2
F=9
V=14
So, 9+14=E+2
23=E+2
23-2=E
21=E
Hence, E (edges) = 21
Step-by-step explanation: