Question

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

Answer 1

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 $r^{2}$

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)

$1\frac{1}{2} =$ 1.5 ounces per pendant

3 pieces of silver:

$1\frac{7}{8}$  pounds

14 ounces

$2\frac{1}{2}$ pounds

Convert to improper fractions (1 lb = 16 ounces)

$\frac{15}{8}$  pounds

$\frac{14}{16}$  pounds

$\frac{5}{2}$ pounds

Find a common denominator for the fractions

$\frac{30}{16}$ pounds

$\frac{14}{16}$ pounds

$\frac{40}{16}$ pounds

Add

$\frac{30}{16}$ + $\frac{14}{16}$  + $\frac{40}{16}$  

$\frac{84}{16}$  pounds

Find how many pendants can be made out of this amount

$\frac{84}{16}$  pounds

Convert back to ounces (1 lb = 16 ounces)

84 ounces

Amount to make one pendant:

$1\frac{1}{2}$ 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 :)