Answer:
25/36 cm^3
0.69444... g/cm^3
Step-by-step explanation:
Find volume of cube: 4*12*3
144 cm^3
Rember the density formula: g/cm^3
subsitute:
100g/144cm^3
simplified 24/36 cm^3
0.69444... g/cm^3
Answer:


Step-by-step explanation:
Given
See attachment
Required
Determine the area and the perimeter of the garden
Calculating Area
First, we calculate the 

Where:


So:




Next, we calculate the area of the two semi-circles.
Two semi-circles = One Circle
So:

Where







Area of the garden is



Calculating Perimeter
First, we calculate the perimeter of the rectangle
But in this case, we only consider the length because the widths have been covered by the semicircles

Where:

So:




Next, we calculate the perimeter of the two semi-circles.
Two semi-circles = One Circle
So:

Where





Perimeter of the garden is



A full rotation is 360 degrees so the required angle is 360/12 = 30 degrees.
Answer:
y = 0.5x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 1, y = 0.5, then
k =
=
= 0.5, hence
y = 0.5x ← equation of variation
Answer:
The dilation is an enlargement.
Step-by-step explanation:
It is correct!