The Grand Canyon Skywalk at Eagle Point is a horseshoe shaped steel frame with a glass floor looking down to the Grand Canyon below. The Skywalk extends 70 feet over the canyon rim and is 10 feet wide. The walkway consists of a semicircle with a straight portion on each side as indicated in the diagram below. How many square feet of glass are needed to cover the Skywalk floor? (Round your final answer to 1 decimal place and any intermediate calculations to 2 decimal places. Be sure to include units.)

It will be needed 864 square feet of glass to cover the Skywalk floor.

Step-by-step explanation: The figure below shows the area in question.

Area of a circle is given by

The walkway is a semicircle. Then, area will be:

The area that will be covered with glass is the area between the outer and the inner circles. So, area is

864

To cover the Skywalk floor is needed 864 of glass.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

sure i'm up for it

step-by-step explanation: