Answer:
The surface = pi*10cm2
Step-by-step explanation:
The area of any rectangle is Base * Height,
We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.
The length of a circle is 2*pi*Radio= pi*Diameter.
Since the square has the same length in each side, we know that pi*Diameter= 10cm*pi
The surface (area) of the cylinder is= Base * Height= 10cm*10cm*pi
For this case we model the problem as a rectangle.
The area of the rectangle is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting values we have:
4800 = (w) * ((1 1/3) * w)
We rewrite:
w ^ 2 = 4800 / (1 1/3)
w ^ 2 = 3600
w = root (3600)
w = 60 in
The long will be then:
l = (1 1/3) * w
l = (1 1/3) * (60)
l = 80 in
Answer:
the dimensions of the quilt are:
w = 60 in
l = 80 in
The algebraic representation of the statement is x + x² - yz = 0
<h3>What are algebraic expressions?</h3>
Algebraic expressions brings the idea of creating or expressing numbers using letters or alphabets without specifying their actual values.
From the information given , we have that;
- sum of x and it's square = x + x²
- Equal to y × z
Now, let's equate the expressions;
x + x² = y × z
x + x ² = yz
Let's make into quadratic form
x + x² - yz = 0
Thus, the algebraic representation of the statement is x + x² - yz = 0
Learn more about algebraic expressions here:
brainly.com/question/723406
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First find the perimeter. Then take the depth of the pool and multiply it by the perimeter.
Hope this helps
