Answer:
42) 254.47 ft²
43) 56 pendants
Step-by-step explanation:
42)
The radius of a circle is equal to half of its diameter.
Diameter = 18 feet
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet
Area of a circle = π [tex]r^{2}[/tex]
Substitute in known value of r
Area = π [tex]9^{2}[/tex]
Substitute in pi
Area = 3.14 * [tex]9^{2}[/tex]
Solve exponent
Area = 3.14159265359 * 81
Area = 254.4690049408
(Rounds to 254.47)
254.47 ft²
43)
[tex]1\frac{1}{2} =[/tex] 1.5 ounces per pendant
3 pieces of silver:
[tex]1\frac{7}{8}[/tex] pounds
14 ounces
[tex]2\frac{1}{2}[/tex] pounds
Convert to improper fractions (1 lb = 16 ounces)
[tex]\frac{15}{8}[/tex] pounds
[tex]\frac{14}{16}[/tex] pounds
[tex]\frac{5}{2}[/tex] pounds
Find a common denominator for the fractions
[tex]\frac{30}{16}[/tex] pounds
[tex]\frac{14}{16}[/tex] pounds
[tex]\frac{40}{16}[/tex] pounds
Add
[tex]\frac{30}{16}[/tex] + [tex]\frac{14}{16}[/tex] + [tex]\frac{40}{16}[/tex]
[tex]\frac{84}{16}[/tex] pounds
Find how many pendants can be made out of this amount
[tex]\frac{84}{16}[/tex] pounds
Convert back to ounces (1 lb = 16 ounces)
84 ounces
Amount to make one pendant:
[tex]1\frac{1}{2}[/tex] ounces
Convert to decimal
1.5 ounces
Divide 84 by amount of silver per pendant
84 ÷ 1.5
56
The maximum number the pendants that the manufacturer can make is 56
Hope this helps :)
