Answer:
15?
Step-by-step explanation:
Area of the squares (6):
A 1 = 6 · 10² = 600 in²
Area of the equilateral triangles (6):
A 2 = 6 · 10²√3 / 4 = = 6 · 25 · 1.73 = 259.8 in²
Area of the hexagon:
A 3 = 6 · 10²√3/4 = 259.8 in²
Total area:
600 + 259.8 + 259.8 = 1,119.6 in²
Answer: C )
This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by:
(volume of larger solid)/(volume of smaller solid)
=729/125
but
linear scale factor=(volume scale factor)^1/3
thus the linear scale factor will be:
(729/125)^1/3
=9/5
Also, area scale factor will be given by:
area scale factor=(linear scale factor)^2
=(9/5)^2
=81/25
The area of the larger solid will be given by:
let the area be A;
A/74.32=81/25
thus
A=81/25*74.32
A=240.7968 inches^2
Fill in (2) in (1):
a=cca => c^2=1 => c=+1 or c=-1
Fill in (3) in (2)
b=aba => a^2=1 => a=+1 or a=-1
same for (1) in (2): b=+1 or b=-1
To satisfy all conditions at the same time, a, b and c all have to be +1 OR any two of them must be negative (e.g., a=b=-1, c=+1).
In all cases, abc=1
Answer:
44 inches
Step-by-step explanation:
The side length is the square root of the area:
A = s^2
121 in^2 = s^2
√(121 in^2) = s = 11 in
The perimeter of a square is 4 times the side length (since all four sides are the same length).
P = 4s = 4(11 in) = 44 in
The perimeter of the square is 44 inches.
