The circumference of a quarter is approximately 7.536 cm.
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of a circle is given by the formula:
C = πd
where C is the circumference, d is the diameter, and π (pi) is a mathematical constant approximately equal to 3.14.
Substituting the given diameter of a quarter, which is 2.4 cm, into the formula:
C = πd
C = π(2.4 cm)
C = 7.536 cm
Therefore, the circumference of a quarter is approximately 7.536 cm.
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The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)
Apothem is a perpendicular line from the center of the regular polygon to one of its sides.
Area = 1/2 x (length of apothem) x (perimeter of hexagon)
• Given,
apothem = 16.5 inches and length of a side =19 inches
• Perimeter = 6 x (side of a hexagon)
= 6 x (19)
= 114 inches
• Hence,
Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)
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Explanation:
Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.
The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.
area of triangle = (1/2)*base*height
area of triangle = 0.5*(hexagon side length)*(apothem)
area of triangle = 0.5*19*16.5
area of triangle = 156.75
This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches
Total amount of lunch money left ($) 100 75 50 25
Which equation, in standard form, represents the relationship between the number of lunches, x, and the amount of lunch money Aaron will have left, y?
x + 5y = 100
100x + y = 5
x + 100y = 5
5x + y = 100
Answer:
its D
Step-by-step explanation: