Taylor makes bracelets out of string. She uses 3 feet of blue string and 2 feet of green string to make 1 bracelet. How many fee
2 answers:
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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 radius of the circle required is 5 inches
Step-by-step explanation:
we know that
The diagonal of the square is the diameter of the circle
The length side of the square is half the apothem
Let
a ----> the apothem
r ---> the radius of the circle (half the diagonal of the square)
Applying the Pythagorean Theorem
we have
substitute