Answer:
The constant of proportionality between the actual dimensions of the pavers and the model is 9.
The proportionality constant for the area is 81.
Step-by-step explanation:
To solve this problem, let's transform all quantities to the same units (inches)
The actual dimensions of the pavers are:
Then we divide the real dimensions between those of the model:
Width:
Long =
Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.
Actual length = model length * (9)
The "A" area of a paver is the product of its width multiplied by its length.
So:
(real width) * (real length) = ((9) Model width) * ((9) model length)
(real width) * (real length) = * (Model width) * (model length)
(real area) = 81 * (Model area)
The proportionality constant for the area is 81.
Answer:
The length of a paver in the model and the length is 1/9.
The constant of proportionality that relates the area 1/81.
Step-by-step explanation:
Area of rectangle is
Dimensions of paver in model:
Area of model
The area of the model is 1/18 square inches.
We know that 1 ft = 12 inches
Actual dimensions of paver:
Actual area is
The actual area is 4.5 square inches.
The constant of proportionality that relates the length of a paver in the model and the length of an actual paver is
The length of a paver in the model and the length is 1/9.
The constant of proportionality that relates the area of an actual paver is
The constant of proportionality that relates the area 1/81.
If a cross section of the block is cut perpendicular to the base and passes through the top vertex of the pyramid, which of the following shapes describes the cross section?
Triangle
Rectangle
Trapezoid
Hexagon
Answer:
The answer is a triangle.
Step-by-step explanation:
What would the volume of the prism be if each dimension were halved?
Answer:
1) 78.54
2) 490.87
3) diameter: 15.9999 so 16.00? circumference: 50.27
Step-by-step explanation: