Answer:
Let x be the first piece, y the 2nd, Z the 3rd
You know all of the pieces together make 24 thus,
24 = x + y + z
The second piece is 2 times longer than the 1st so,
y = 2x
The 3rd is 5 times longer
z = 5x
Replace them in the equation of the beginning
24 = x + 2x + 5x
24 = 8x
x = 3 (First piece)
y = 6 (Second Piece)
z = 15 (Third Piece)
Answer:

Step-by-step explanation:
By logarithm rules

Answer:
a) 
b) 
c) 
Step-by-step explanation:
a)
For a cone,

where L = slant height

We have r = 8 cm; h = 10 cm




b)



c)

empty space = volume of cylinder - volume of cone




Answer:
3.843
Step-by-step explanation:
(3x1)= 1
(8x1/10= 0.8
(4x1/100)=0.04
(3x1/1000)=0.003
Then, add together to get 3.843.
Answer:
D) 25.5 cm
Step-by-step explanation:
Circumference = pi × d
20 = 3.14 × d
d = 6.3694267516
Diameter = length of one side
Perimeter of the square = 4s
4(6.3694267516)
25.4777070064 cm
From the options, closest is 25.5