Kelsey has designed a pendant, shown here, that hangs from a chain. She makes pendants by bending silver wire into circles. She plans to sell the pendants at a craft fair, and her goal is to make a minimum profit of $50 at the fair. 1. Kelsey's pendant design connects one circle made from a wire 6 cm long to a second circle made from a wire 8 cm long. Part A The height of the pendant is determined by using the formula for the circumference of a circle, C = πd. Find the total height of the pendant design from top to bottom in terms of π. Then find the height rounded to the nearest tenth of a centimeter. Use 3.14 for π.

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boffeemadrid boffeemadrid · Answer 1 · 2020-10-26T13:43:13+01:00

Answer:

[tex]\dfrac{14}{\pi}\ \text{cm}[/tex]

4.5 cm.

Step-by-step explanation:

Diameter of each circle will be the height of each circle

The length of the wires are the circumferences of the circles.

Circumference of the first circle is given by

[tex]\pi d_1=6\\\Rightarrow d_1=\dfrac{6}{\pi}[/tex]

Circumference of the second circle is given by

[tex]\pi d_2=8\\\Rightarrow d_2=\dfrac{8}{\pi}[/tex]

Total height of the pendant will be

[tex]d=d_1+d_2=\dfrac{6}{\pi}+\dfrac{8}{\pi}=\dfrac{14}{\pi}[/tex]

Height of the pendant is [tex]\dfrac{14}{\pi}\ \text{cm}[/tex]

[tex]d=\dfrac{14}{3.14}=4.45859\approx 4.5\ \text{cm}[/tex]

Height of the pendant is 4.5 cm.