The Library of Congress reading room has desks along arcs of concentric circles. If an arc on the outermost circle with eight desks is about 12 meters long and makes up 19 of the circle, how far are these desks from the center of the circle

The outer desks are 17.2 m from the center of the circle.

Step-by-step explanation:

Given:

Length of arc desks of outermost circle (L) = 12 m

The arc is 1/9 of the complete circle.

Now, we are asked to find the distance of the desks from the center. In other words, we are asked to find the radius of the outermost circle.

Let the radius be 'r' m.

The circumference of the circle is given as:

As per question,

Now, finding the radius using the circumference equation. This gives,

Therefore, the outer desks are 17.2 m from the center of the circle.

it is a reproduction.

step-by-step explanation:

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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