Problem 32
State the assumption that Euclid made about parallel lines that was altered in both hyperbolic and elliptic geometry.
Problem 33
How does hyperbolic geometry differ from Euclidean geometry?
Problem 34
How does elliptic geometry differ from Euclidean geometry?
Problem 36
Find the ratio, reduced to lowest terms, of the volume of a sphere with a radius of 3 inches to the volume of a sphere with a radius of 9 inches.
Problem 37
What will it cost to carpet a rectangular floor measuring 9 feet by 21 feet if the carpet costs \(\$ 26.50\) per square yard?
Problem 37
A cylinder with radius 3 inches and height 4 inches has its radius tripled. How many times greater is the volume of the larger cylinder than the smaller cylinder?
Problem 37
Can a tessellation be created using only regular nine-sided polygons? Explain your answer.
Problem 37
Use similar triangles to solve Exercises 37-38. A person who is 5 feet tall is standing 80 feet from the base of a tree and the tree casts an 86-foot shadow. The person's shadow is 6 feet in length. What is the tree's height?
Problem 37
A plane rises from take-off and flies at an angle of \(10^{\circ}\) with the horizontal runway. When it has gained 500 feet in altitude, find the distance, to the nearest foot, the plane has flown.
Problem 38
A cylinder with radius 2 inches and height 3 inches has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder?