Answer:
Option (2)
Step-by-step explanation:
Volume of a prism A (preimage) = 27 cubic units
Factor of dilation of the sides of this prism (image) = 
Volume scale factor of these prisms = 
Since, Volume scale factor = (Scale factor of dilation of the sides)³
= 
= 
Now from the formula of volume scale factor,
Volume of the image prism = 
= 3 cubic units
Therefore, Option (2) will be the answer.
Answer:
{x | x ≤ 6}
Step-by-step explanation:
Given
y = √(6 - x)
Required
Determine the domain
We start by setting 6 - x to ≥ 0.
i.e.
6 - x ≥ 0
Add x to both sides
6 - x + x ≥ 0 + x
6 ≥ x
This can be rewritten as
x ≤ 6
Using set builder, the above van be represented as: {x | x ≤ 6}
Answer:
124 units squared
Step-by-step explanation:
A(parallelogram) = 8 x 10 = 80
A(semicircle) = πr²/2
however, we need to use the Pythagorean Theorem to find 'r'
r² + 6² = 8²
r² = 84-36
r² = 28
r = 
= 
·
or 2
A = π(2√7)² / 2
A = 4·7π / 2
A = 14π which is approx 44
Total Area = 44 + 80 = 124
Answer:
0.339
Step-by-step explanation:
Rounded to the nearest 0.001 or
the Thousandths Place.
