Geometry Answers

Imagine that you are in an argument with your sibling or friend about the size of the slice of pizza that you were both served. They say that it was unfair because you got a bigger piece. What information would you need to know about each slice of pizza in order to calculate which one had a larger area? Explain. (hint: remember the formula for the area of a sector of a circle!! )

Mention explain mathematically and illustrate/show/draw/copy-and- paste a cultural artefact where translation is used to develop the pattern or artistic effect.

Mention explain mathematically and illustrate/show/draw/copy and paste a cultural artefact where glide-reflection is used to develop the pattern or artistic effect.

The triangle ABC is right-angled with a right angle at C. The height CD has a length of 5 units of length (D lies on the side AB), and the distance AD ​​has a length of 7 units of length. Determine and state the length of the hypotenuse. Briefly explain each step

The radius of a circle is 5 centimeters. What is the angle measure of an arc bounding a sector with area 5​𝜋 square centimeters?

Vincent's family is moving across town. They are busy packing their furniture into a moving van. The storage space in the moving van is shaped like a rectangular prism. It has a floor area of 14 square meters and a height of 2 meters. What is the volume of the moving van's storage space?

The triangle ABC is right-angled with a right angle at C. The height CD has a length of 5 units of length (D lies on the side AB), and the distance AD ​​has a length of 7 units of length. Determine and state the length of the hypotenuse.

A bakery is 10 meters wide and 16 meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $24.00 per meter. How much will the baker's shelf cost?

a large cone has a height 6 cm and base diameter 18 cm. The large cone is made by placing a small cone A of height 2 cm and base diameter 6 cm on top of a frustum B.

Calculate the volume of the frustum B. Give your answer in terms of π.​​​​​​​​

Calculate the total surface area of frustum B. Give your answer in terms of π.

The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c .  The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc