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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Give an example of an object that hasa) Genus 0.b) Genus 1.c) Genus 2.d) Genus 3 or more.
Clarence and Rose’s home lot is illustrated here. Clarence and Rose wish to hire Picture Perfect Lawn Service to cut their lawn. How much will it cost Clarence and Rose to have their lawn cut if
The engine in a 1961 Ford Thunderbird has eight cylinders. Each cylinder is a right cylinder with a bore (diameter) of 4.05 in. and a stroke (height) of 3.78 in. Determine the total displacement
In Exercise, identify the quadrilateral.
In Exercise, determine if the point is inside or outside the Jordan curve.Point F B
a) Name an object of genus 1.b) Name an object of genus 2.
In Exercise, determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 10 m
In Exercise, determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 12 yd 12 yd 6 yd
In Exercise, give the genus of the object. If the object has a genus larger than 5, write “larger than 5.”
In Exercise, determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 3 ft
In Exercise, identify the quadrilateral.
In Exercise, determine(a) The volume(b) The surface area of the figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 5 cm 11 ст 3 ст
In Exercise, determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. -5 in.- 10 in.-
In Exercise, identify the quadrilateral.
In Exercise, determine(a) The volume(b) The surface area of the figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 9 ft 3 ft
Use the figure to determine the following: G B D E. BG U FE
In Exercise, determine the shaded area. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 4 in. - 4 in.
In Exercise, determine(a) The volume(b) The surface area of the figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. - 12 mm 16 mm
Determine(a) The area(b) The circumference of the circle. Use the π key on a calculator and round your answer to the nearest hundredth. 7 ft
In Exercise, determine if the point is inside or outside the Jordan curve.Point E B
Determine(a) The area(b) The perimeter of the figure. 3 km 4 km
In Exercise, determine(a) The area(b) The circumference of the circle. Use the π key on your calculator and round your answer to the nearest hundredth. 16 yd
Determine(a) The area(b) The perimeter of the figure. 9 in. 7 in. 12 in.
In Exercise, determine(a) The area(b) The circumference of the circle. Use the π key on your calculator and round your answer to the nearest hundredth. 13 ft
Determine(a) The area(b) The perimeter of the figure. 5 m 5 m 3 m 6 m 3 m
In Exercise, determine(a) The area(b) The circumference of the circle. Use the π key on your calculator and round your answer to the nearest hundredth. 13 mm
Determine(a) The area(b) The perimeter of the figure. mi 9 mi 11 mi
What do we mean when we say that no one axiomatic system of geometry is “best”?
In Exercise, determine(a) The area(b) The circumference of the circle. Use the π key on your calculator and round your answer to the nearest hundredth. 8 in.
In Exercise, determine(a) The area(b) The perimeter of the quadrilateral. 16 in. 12 in. 13 in. 13 in. 6 in.
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. E 9 cm
In forming the Koch snowflake in Fig., the perimeter becomes greater at each step in the process. If each side of the original triangle is 1 unit, a general formula for the perimeter, L, of the
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
In Exercise, determine(a) The area(b) The perimeter of the quadrilateral. 5 in. 25 in. | 2 ft 25 in. 19 in.
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. -9 mi -
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
Determine the volume of the pyramid. 7 ft 12 ft 4 ft
In Exercise, determine(a) The area(b) The perimeter of the quadrilateral. 6 in. 8 in. 13 in.
In Exercise, determine(a) The area(b) The perimeter of the quadrilateral. 24 cm 0.25 m 25 cm
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 3 cm 14 cm
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 24 ft 10
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
Determine(a) The volume(b) The surface area of a sphere of diameter 14 cm.
In Exercise, determine(a) The area(b) The perimeter of the quadrilateral. 2 yd 6 ft
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 24 in. 6
Fill in the blanks with an appropriate word, phrase, or symbol(s).When two straight lines intersect, the nonadjacent angles formed are called _______ angles.
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
In Exercise, determine(a) The area(b) The perimeter of the quadrilateral. 4 ft 8 ft
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 12 in. 2
Fill in the blanks with an appropriate word, phrase, or symbol(s).An angle whose measure is less than 90° is called a(n) _______ angle.
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
In Exercise, determine the area of the triangle. 3 yd 1 ft
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 7 yd 7 yd
Fill in the blanks with an appropriate word, phrase, or symbol(s).A pattern consisting of the repeated use of the same geometric figures to entirely cover a plane, leaving no gaps, is called a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).An angle whose measure is greater than 90° but less than 180° is called a(n) _______ angle.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The study of chaotic processes is known as ________ theory.
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
In Exercise, determine the area of the triangle.+ 50 cm 1 m
In Exercise, determine(a) The volume(b) The surface area of the three-dimensional figure. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 4 ft 2 ft
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion that moves the geometric figure back onto itself is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).An angle whose measure is 90° is called a(n) _______ angle.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The shortest and least-curved arc between two points on a curved surface is a(n) ________.
In Exercise,(a) Name the polygon.(b) State whether or not the polygon is a regular polygon.
In Exercise, determine the area of the triangle. 5 cm - 7 cm- ст
Fill in the blanks with an appropriate word, phrase, or symbol(s).Euler’s polyhedron formula states that, for any polyhedron, the number of vertices minus the number of edges plus the number of
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion formed by performing a translation followed by a reflection is called a(n) ________ reflection.
Fill in the blanks with an appropriate word, phrase, or symbol(s).An angle whose measure is 180° is called a(n) _______ angle.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A model for hyperbolic geometry is a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sum of the measures of the interior angles of a quadrilateral is _______.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The number of holes that go through an object determines the ________ of the object.
In Exercise, determine the area of the triangle. il in. 3 in.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A prism whose sides are rectangles is called a(n) ________ prism.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The angle through which a geometric figure is rotated during a rotation is called the angle of ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Two angles, the sum of whose measures is 180°, are called _______ angles.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A model for elliptical geometry is a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If the corresponding sides of two similar figures are the same length, the figures are called _______ figures.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A topological object that can be thought of as a circle twisted out of shape is a(n) ________ curve.
Fill in the blanks with an appropriate word, phrase, or symbol(s).a) A line segment from the center of a circle to any point on the circle is called the ________ of the circle.b) A line segment
Fill in the blanks with an appropriate word, phrase, or symbol(s).A polyhedron whose bases are congruent polygons and whose sides are parallelograms is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion performed by rotating a geometric figure in the plane about a specific point is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Two angles, the sum of whose measures is 90°, are called _______ angles.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A model for Euclidean geometry is a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sum of the measures of the interior angles of a triangle is _______.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If you color a map of the United States, the maximum number of colors needed so that no two states that share a common border have
Fill in the blanks with an appropriate word, phrase, or symbol(s).A set of points equidistant from a fixed point is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A regular polyhedron, whose faces are all regular polygons of the same size and shape, is also called a(n) ________ solid.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A concise way to indicate the direction and the distance that a figure is moved during a translation is with a translation ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The union of two rays with a common endpoint is called a(n) _______.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Two polygons are similar if their corresponding angles have the same measure and the lengths of their corresponding sides are in
Fill in the blanks with an appropriate word, phrase, or symbol(s).A topological object that resembles a bottle but has only one side is a(n) ________ bottle.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In a right triangle, the side that is opposite the right angle is called the ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sum of the areas of the surfaces of a three-dimensional figure is called the figure’s ________area.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion that moves a geometric figure by sliding it along a straight line segment in the plane is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Two lines that do not lie in the same plane and do not intersect are called _______ lines.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The fifth axiom of elliptical geometry states that given a line and a point not on the line, ________ line can be drawn through the
Fill in the blanks with an appropriate word, phrase, or symbol(s).A polygon whose sides are all the same length and whose interior angles all have the same measure is called a(n) _______ polygon.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A one-sided, one-edged surface is a(n) ________ strip.
Fill in the blanks with an appropriate word, phrase, or symbol(s).a) The sum of the lengths of the sides of a two-dimensional figure is called the ________ of the figure.b) The measure of the region
Fill in the blanks with an appropriate word, phrase, or symbol(s).A measure of the capacity of a three-dimensional figure is called the figure’s ________.

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