Question

Can someone answer this question answer it correctly please and show work please

Answer 1

42) 254.47 ft²

43) 56 pendants

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
`r^(2)`

Substitute in known value of r

Area = π
`9^(2)`

Substitute in pi

Area = 3.14 *
`9^(2)`

Solve exponent

Area = 3.14159265359 * 81

Area = 254.4690049408

(Rounds to 254.47)

254.47 ft²

43)

`1(1)/(2) =` 1.5 ounces per pendant

3 pieces of silver:

`1(7)/(8)` pounds

14 ounces

`2(1)/(2)` pounds

Convert to improper fractions (1 lb = 16 ounces)

`(15)/(8)` pounds

`(14)/(16)` pounds

`(5)/(2)` pounds

Find a common denominator for the fractions

`(30)/(16)` pounds

`(14)/(16)` pounds

`(40)/(16)` pounds

Add

`(30)/(16)` +
`(14)/(16)` +
`(40)/(16)`

`(84)/(16)` pounds

Find how many pendants can be made out of this amount

`(84)/(16)` pounds

Convert back to ounces (1 lb = 16 ounces)

84 ounces

Amount to make one pendant:

`1(1)/(2)` 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 :)