PLEASE HELP DON'T ANSWER THE QUESTION IF YOU DON'T KNOW THE ANSWER 1. The height of a regular quadrilateral pyramid H=9cm, and the base edge is a=12c. Calculate the area of the parallel section which is at a distance r=3cm from the top.

2. The area of the base of a pyramid is 150cm, the area of a parallel section is 54cm, and the distance between them is 14cm. Calculate the height of the pyramid

3. A triangular pyramid with base edges b cm, 11cm and 15cm is intersected by a plane parallel to the base and passing through the middle of the height. Calculate the area of the intersection.

4. The base of a regular hexagonal pyramid is a = 5cm, and the side edge with the plane of the base occupies an angle of 60°. Calculate the area of the largest Diagonal section.

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For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

What is the radical expression that is equivalent to the expression 27 1 over 5?

Julie goes to the sports store and spends $40.50 before tax. she buys a pair of shorts for $21.75 and 3 pairs of socks that each cost the same amount. how much does each pair of socks cost? $$