Step-by-step explanation:
trick question, the numerator is smaller than the denominator
these fractions are in their simplest form
You divide 1540 by 220 to get 7. We do this because we want to find how many times 220 can go in 1540 which shows the amount of ft tall the scale will be. We can check it by doing 7 × 220 which is 1,540.
The building will be 7 ft tall in the scale.
Formula for the circumference of a circle.
<h3>How did Archimedes find the circumference of a circle?</h3>
Archimedes stated in his Proposition that the area of a circle is equal to the area of a triangle with a base equal to the circumference and a height equal to the radius: (1/2)(r · 2πr) = πr2. Archimedes arrived at his approximation of the circumference of the circle by increasing the number of sides of the hexagon. Archimedes claimed that the area of any circle is equal to the area of a right triangle, where the radius of the circle is represented by one side and the circumference by the other.
Archimedes demonstrated using a similar method that the area of a circle of diameter D is equal to the area of a right-angled triangle with one side equal to the radius and the other to the circumference of the circle on the right angle.
Formula for the circumference of a circle:
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
The circumference is diameter x pi, or 2 x radius x pi.
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Learn more about circumference of a circle here:
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In this question, you have given the table length (7. 1/2 feet) and the table maximal area (46 7/8 square feet). The question is about whether Julia buys a table greater than 6ft wide, in other words, we need to determine the table maximum width. The equation from this problem can be written as:
Table max area = 46 7/8 ft
Table length= 7 1/2 ft
Using area formula, the calculation for maximal width would be:
length * max width = max area
7 1/2 ft * max width = 46 7/8 ft
max width = 46.875/ 7.5 = 6.25ft
The answer to this question would be yes, she can buy a table with more than 6 ft width. But it should not more than 6.25ft width