Answer:
The length of the rope = 8.94 meters
Step-by-step explanation:
∵ The flagpole is 8 meters high
∵ The hook is 4 meters from its base and the hook is in the ground
∵ The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
∴ The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters
Answer:
4.53
Step-by-step explanation:
Given the data :
4, 5, 10, 11, 15
The mean = 9
The standard deviation of a sample :
s = √[Σ(x - mean)²/(n-1)]
s = √[((4-9)² + (5-9)²+(10-9)² + (11-9)² + (15-9)²) / (5-1)]
s = √(25+16+1+4+36)/4
s = √20.5
s = 4.527
s = 4.53
Answer:
37.699 cm³
Step-by-step explanation:
Sa of cone:
pi×r×l + pi×r²
(3pi × l) + (pi × 3²) = 24pi
3l + 9 = 24
3l = 15
l = 5 (slant height)
Height: h
h² + r² = l²
h² + 3² = 5²
h² = 16
h = 4 cm
Volume = ⅓ × pi × r² × h
= ⅓ × pi × 3² × 4
= 12pi cm³
= 37.69911184 cm³
Need more information or a graphic.
Answer:
5/13 pal, the first one,,,,