Geometry Questions
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![13 Find the exact area of the sector Radius of the circle r 10 cm and m AOB 120 A 10 0 2 points 120 B](https://media.kunduz.com/media/sug-question-candidate/20230728160915574535-4662043.jpg?w=256)
Geometry
2D Geometry13 Find the exact area of the sector Radius of the circle r 10 cm and m AOB 120 A 10 0 2 points 120 B
![8 Given mAB 112 mDC 34 Find m1 and m 2 4 points B D E C 2](https://media.kunduz.com/media/sug-question-candidate/20230728160522427011-4662043.jpg?w=256)
![12 Given Rectangle ABCD is inscribed in the circle AD 8ft AB 6 ft Find the exact area of the region between the circle and the rectangle 4 points B 8ft 6ft D C](https://media.kunduz.com/media/sug-question-candidate/20230728160903274345-4662043.jpg?w=256)
Geometry
2D Geometry12 Given Rectangle ABCD is inscribed in the circle AD 8ft AB 6 ft Find the exact area of the region between the circle and the rectangle 4 points B 8ft 6ft D C
![4 Given m BCD 7 x 4 m A 2 2x 5 and m B 2 3x 1 Find x m BCD 2 points A B C](https://media.kunduz.com/media/sug-question-candidate/20230728160418755397-4662043.jpg?w=256)
Geometry
Solution of triangles4 Given m BCD 7 x 4 m A 2 2x 5 and m B 2 3x 1 Find x m BCD 2 points A B C
![7 Given AABC with angles as shown AD 4 Find AB C 30 th A 4 D 2 points B](https://media.kunduz.com/media/sug-question-candidate/20230728160504768118-4662043.jpg?w=256)
![Please show your work No credit will be given for answers without supporting work 1 Determine whether the statement is true or false 1 point each a The consecutive angles of a parallelogram are supplementary b An inscribed angle can never be an obtuse angle c The bisector of the vertex angle of an isosceles triangle bisects the base d The complement of an angle is an obtuse angle](https://media.kunduz.com/media/sug-question-candidate/20230728160309187808-4662043.jpg?w=256)
Geometry
2D GeometryPlease show your work No credit will be given for answers without supporting work 1 Determine whether the statement is true or false 1 point each a The consecutive angles of a parallelogram are supplementary b An inscribed angle can never be an obtuse angle c The bisector of the vertex angle of an isosceles triangle bisects the base d The complement of an angle is an obtuse angle
![1 Triangle PQR is drawn with QR 4 75cm PR 7 25cm and ZPQR is O 19 1 or 160 9 O 49 7 O 19 1 49 7 or 130 3](https://media.kunduz.com/media/sug-question-candidate/20230728031437224142-5798189.jpg?w=256)
Geometry
2D Geometry1 Triangle PQR is drawn with QR 4 75cm PR 7 25cm and ZPQR is O 19 1 or 160 9 O 49 7 O 19 1 49 7 or 130 3
![Find the coefficient of the ab7 term in the expansion of a b In the expansion a b a Enter ONLY the coefficient a b7 b 3](https://media.kunduz.com/media/sug-question-candidate/20230728035450044952-5794261.jpg?w=256)
Geometry
2D GeometryFind the coefficient of the ab7 term in the expansion of a b In the expansion a b a Enter ONLY the coefficient a b7 b 3
![In the figure below points A E F and C lie in plane X Points B and D do not lie in plane X For each part below fill in the blanks to write a true statement A E F B D X a B and are distinct points that are collinear b FC and c E and are distinct points that are coplanar d Another name for plane X is plane are distinct lines that intersect St](https://media.kunduz.com/media/sug-question-candidate/20230728031748447538-5649645.jpg?w=256)
Geometry
Coordinate systemIn the figure below points A E F and C lie in plane X Points B and D do not lie in plane X For each part below fill in the blanks to write a true statement A E F B D X a B and are distinct points that are collinear b FC and c E and are distinct points that are coplanar d Another name for plane X is plane are distinct lines that intersect St
![he solid below is made from 1 foot cubes Find the total surface area of the solid Be sure to include the correct unit in your answer 1 foot 0 ft X ft ft](https://media.kunduz.com/media/sug-question-candidate/20230728031356262950-5649645.jpg?w=256)
Geometry
2D Geometryhe solid below is made from 1 foot cubes Find the total surface area of the solid Be sure to include the correct unit in your answer 1 foot 0 ft X ft ft
![Use the figure to evaluate ab a b and a b 00 BULLO](https://media.kunduz.com/media/sug-question-candidate/20230728020155404917-5799845.jpg?w=256)
![Consider selecting two elements a and b from the set A a b c d e List all possible subsets of A using both elements Remember to use roster notation ie a b c d e List all possible arrangements of these two elements Enter your answers as a comma separated list Enclose each arrangement in parentheses](https://media.kunduz.com/media/sug-question-candidate/20230728005632535283-5799832.jpg?w=256)
Geometry
VectorsConsider selecting two elements a and b from the set A a b c d e List all possible subsets of A using both elements Remember to use roster notation ie a b c d e List all possible arrangements of these two elements Enter your answers as a comma separated list Enclose each arrangement in parentheses
![Find the amplitude period and phase shift of the function defined by each of the following equations and sketch the graph of one complete period T 3 1 y 2 cos x 3 2 y sin 3x 1 10 10](https://media.kunduz.com/media/sug-question-candidate/20230728011034861568-5799807.jpg?w=256)
Geometry
Coordinate systemFind the amplitude period and phase shift of the function defined by each of the following equations and sketch the graph of one complete period T 3 1 y 2 cos x 3 2 y sin 3x 1 10 10
![The proper angle for a ladder is about 75 from the ground Suppose you have a 20 foot ladder How far from the house should you place the base of the ladder 1](https://media.kunduz.com/media/sug-question-candidate/20230728014405743499-4478503.jpg?w=256)
Geometry
2D GeometryThe proper angle for a ladder is about 75 from the ground Suppose you have a 20 foot ladder How far from the house should you place the base of the ladder 1
![Solve the equations on the interval 0 2 2 sin x 1 0](https://media.kunduz.com/media/sug-question-candidate/20230728014259122278-4478503.jpg?w=256)
![Use the power reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1 17 sin x 4 17 sin x www](https://media.kunduz.com/media/sug-question-candidate/20230728011025943419-5799848.jpg?w=256)
Geometry
2D GeometryUse the power reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1 17 sin x 4 17 sin x www
![omplete the table below Note that t is an angle measured in radians sint cos t n sin 2 t cos t 1 Smallest positive value of t 4 2 V 2 Sine](https://media.kunduz.com/media/sug-question-candidate/20230728011004422935-5799807.jpg?w=256)
Geometry
Coordinate systemomplete the table below Note that t is an angle measured in radians sint cos t n sin 2 t cos t 1 Smallest positive value of t 4 2 V 2 Sine
![1 1 Find the terminal points P x y on the unit circle determined by the given value t 11x 6 a t b t c t 4x 3 5T 4](https://media.kunduz.com/media/sug-question-candidate/20230727231232928284-5799807.jpg?w=256)
Geometry
Area1 1 Find the terminal points P x y on the unit circle determined by the given value t 11x 6 a t b t c t 4x 3 5T 4
![1 How many surfaces must the Smiths apply concrete to so that the pool is properly sealed Length Rectangular Prisin Surfaces need concrete Height of the pool has a length of 65 feet across a width of 20 feet and a depth of 15 feet what is the Total Surface Area in ft that needs to be concreted Width Total Surface Area 3 It cost 5 00 a square foot for concrete what is the total cost to seal the entire pool with concrete](https://media.kunduz.com/media/sug-question-candidate/20230727202157488519-5780038.jpg?w=256)
Geometry
Area1 How many surfaces must the Smiths apply concrete to so that the pool is properly sealed Length Rectangular Prisin Surfaces need concrete Height of the pool has a length of 65 feet across a width of 20 feet and a depth of 15 feet what is the Total Surface Area in ft that needs to be concreted Width Total Surface Area 3 It cost 5 00 a square foot for concrete what is the total cost to seal the entire pool with concrete
![The units are in feet 5 Imagine you are tutoring your best friend in Geometry explain to them the process they should go through to determine the area of the shaded region B i Font Family AA VE](https://media.kunduz.com/media/sug-question-candidate/20230727202243509467-5780038.jpg?w=256)
Geometry
2D GeometryThe units are in feet 5 Imagine you are tutoring your best friend in Geometry explain to them the process they should go through to determine the area of the shaded region B i Font Family AA VE
![A certain ladder is 61 feet long and is leaning against a house If the ladder is 6 feet from the base of a house find the height from the base of the house to the top of the ladder 5 What is the length of the Hypotenuse the longest side C Hypotenuse r ft Use the button to input your answer 6 Use the Pythagorean Theorem to set up an equation to solve for the missing side x i Use the button to input your answer](https://media.kunduz.com/media/sug-question-candidate/20230727201944386651-5780038.jpg?w=256)
Geometry
Solution of trianglesA certain ladder is 61 feet long and is leaning against a house If the ladder is 6 feet from the base of a house find the height from the base of the house to the top of the ladder 5 What is the length of the Hypotenuse the longest side C Hypotenuse r ft Use the button to input your answer 6 Use the Pythagorean Theorem to set up an equation to solve for the missing side x i Use the button to input your answer
![4 Find the area of the shaded region The units are in meters A 6 TM](https://media.kunduz.com/media/sug-question-candidate/20230727202213046755-5780038.jpg?w=256)
![7 Find the area of the shaded region Round to two decimal places The units are in inches A 8 10 in](https://media.kunduz.com/media/sug-question-candidate/20230727202322816984-5780038.jpg?w=256)
Geometry
Coordinate system7 Find the area of the shaded region Round to two decimal places The units are in inches A 8 10 in
![All changes saved 8 A company produces card board boxes with the top bottom and sides measuring 3 feet It cost the company 4 cents a square foot to make each box The square footage is determined by finding the area of all six sides of the box Find the cost to make 200 boxes](https://media.kunduz.com/media/sug-question-candidate/20230727202401290350-5780038.jpg?w=256)
Geometry
Coordinate systemAll changes saved 8 A company produces card board boxes with the top bottom and sides measuring 3 feet It cost the company 4 cents a square foot to make each box The square footage is determined by finding the area of all six sides of the box Find the cost to make 200 boxes
![20 10 Use the Pythagorean Theorem to set up an equation to solve for x x 11 Solve forx Ox 5 13 Ox 5 5 Ox 14 Ox 25](https://media.kunduz.com/media/sug-question-candidate/20230727202028305832-5780038.jpg?w=256)
Geometry
2D Geometry20 10 Use the Pythagorean Theorem to set up an equation to solve for x x 11 Solve forx Ox 5 13 Ox 5 5 Ox 14 Ox 25
![X 5 8 Use the Pythagorean Theorem to set up an equation to solve for the missing side x 5 9 Solve for x x x Use the button to input your answer](https://media.kunduz.com/media/sug-question-candidate/20230727202010645854-5780038.jpg?w=256)
Geometry
Coordinate systemX 5 8 Use the Pythagorean Theorem to set up an equation to solve for the missing side x 5 9 Solve for x x x Use the button to input your answer
![4 Complete the triple 8 x 17 x](https://media.kunduz.com/media/sug-question-candidate/20230727201903248700-5780038.jpg?w=256)
![1 What would be the best description of the triangle Answer x 3 Solve for x Scalene Obtuse Equilateral Isosceles 2 Use the Pythagorean Theorem to set up an equation to solve forx Equiangular Acute](https://media.kunduz.com/media/sug-question-candidate/20230727201848386176-5780038.jpg?w=256)
Geometry
Coordinate system1 What would be the best description of the triangle Answer x 3 Solve for x Scalene Obtuse Equilateral Isosceles 2 Use the Pythagorean Theorem to set up an equation to solve forx Equiangular Acute
![What is the future value of an investment of 2300 compounded continuously at 2 for 3 years](https://media.kunduz.com/media/sug-question-candidate/20230727172331337325-5794633.jpg?w=256)
Geometry
Coordinate systemWhat is the future value of an investment of 2300 compounded continuously at 2 for 3 years
![Which of the following identities from the list below is an odd even identity Select one a csc 0 cscf O b tanecot 0 OC cost sinA seco cosl](https://media.kunduz.com/media/sug-question-candidate/20230727111308911621-5794633.jpg?w=256)
Geometry
Solution of trianglesWhich of the following identities from the list below is an odd even identity Select one a csc 0 cscf O b tanecot 0 OC cost sinA seco cosl
![QuestionT Identify the three dimensional figures A A and D B and D A and C B and C](https://media.kunduz.com/media/sug-question-candidate/20230727060319079895-4754292.jpg?w=256)
Geometry
3D GeometryQuestionT Identify the three dimensional figures A A and D B and D A and C B and C
![Question 1 Points 3 What three dimensional figure models the following object O Rectangular prism O Square pyramid O Sphere](https://media.kunduz.com/media/sug-question-candidate/20230727055608200048-4754292.jpg?w=256)
Geometry
2D GeometryQuestion 1 Points 3 What three dimensional figure models the following object O Rectangular prism O Square pyramid O Sphere
![Question 10 Points 2 The exterior of a spherical water tank is to be painted The radius of the tank is 4 feet How many square feet will need to be painted Use 3 14 4 square feet 96 square feet 200 96 square feet 20096 square feet](https://media.kunduz.com/media/sug-question-candidate/20230727055452019877-4754292.jpg?w=256)
Geometry
2D GeometryQuestion 10 Points 2 The exterior of a spherical water tank is to be painted The radius of the tank is 4 feet How many square feet will need to be painted Use 3 14 4 square feet 96 square feet 200 96 square feet 20096 square feet
![Graph the solution set of the system of inequalities 2x 4y 16 2x 4y 8 4x y 7 x20 y20 Use the graphing tool on the right to graph the system Click to enlarge graph 10 B B 4 101 2 8 6 2 2 4 6 8 P](https://media.kunduz.com/media/sug-question-candidate/20230727035843236891-4655383.jpg?w=256)
Geometry
Coordinate systemGraph the solution set of the system of inequalities 2x 4y 16 2x 4y 8 4x y 7 x20 y20 Use the graphing tool on the right to graph the system Click to enlarge graph 10 B B 4 101 2 8 6 2 2 4 6 8 P
![Find the eccentricity of the conic section shown in the graph 2 y 5 10 8 6 T N 7246 8 10 NIL 2 6 8 10 O A e OB e 1 O C e 29 2 OD e 29 LO 21 5](https://media.kunduz.com/media/sug-question-candidate/20230727003447455182-5796221.jpg?w=256)
Geometry
AreaFind the eccentricity of the conic section shown in the graph 2 y 5 10 8 6 T N 7246 8 10 NIL 2 6 8 10 O A e OB e 1 O C e 29 2 OD e 29 LO 21 5
![ces F 0 7 Find the total area surface area of a regular hexahedron if each edge has a length of 4 2 cm](https://media.kunduz.com/media/sug-question-candidate/20230727022242865691-4662043.jpg?w=256)
Geometry
2D Geometryces F 0 7 Find the total area surface area of a regular hexahedron if each edge has a length of 4 2 cm
![In Exercises 10 to 12 the probability is the ratio number of favorable outcomes Use Example 2 of this section number of possible outcomes as a guide 10 Assume that a die of the most common shape a regular hexahedron is rolled What is the likelihood that a a 2 results b an even number results c the result is larger than 2](https://media.kunduz.com/media/sug-question-candidate/20230727022222326446-4662043.jpg?w=256)
Geometry
2D GeometryIn Exercises 10 to 12 the probability is the ratio number of favorable outcomes Use Example 2 of this section number of possible outcomes as a guide 10 Assume that a die of the most common shape a regular hexahedron is rolled What is the likelihood that a a 2 results b an even number results c the result is larger than 2
![In Exercises 31 and 32 use the calculator value of T 31 For a sphere whose radius has length 3 m find the approximate a surface area b volume](https://media.kunduz.com/media/sug-question-candidate/20230727022251174917-4662043.jpg?w=256)
Geometry
2D GeometryIn Exercises 31 and 32 use the calculator value of T 31 For a sphere whose radius has length 3 m find the approximate a surface area b volume
![15 Find the total area surface area of a regular octahedron if the area of each face is 5 5 in](https://media.kunduz.com/media/sug-question-candidate/20230727022234863396-4662043.jpg?w=256)
Geometry
2D Geometry15 Find the total area surface area of a regular octahedron if the area of each face is 5 5 in
![A rectangle has dimensions of 6 in by 3 in Find the exact volume of the solid of revolution formed when the rectangle is rotated about its 6 in side](https://media.kunduz.com/media/sug-question-candidate/20230727014850358925-4662043.jpg?w=256)
Geometry
AreaA rectangle has dimensions of 6 in by 3 in Find the exact volume of the solid of revolution formed when the rectangle is rotated about its 6 in side
![7 A regular polyhedron has 12 edges and 6 vertices a Use Euler s equation to find the number of faces b Use the result from part a to name the regular polyhedron](https://media.kunduz.com/media/sug-question-candidate/20230727014915041811-4662043.jpg?w=256)
Geometry
Coordinate system7 A regular polyhedron has 12 edges and 6 vertices a Use Euler s equation to find the number of faces b Use the result from part a to name the regular polyhedron
![An equilateral triangle is shown below Line w passes through a vertex and bisects a side Line u bisects each side it passes through Point P is the center of the triangle H P Which transformation s must map the triangle exactly onto itself Choose all that apply Reflection across line w Reflection across line u Counterclockwise rotation about P by 72 O Clockwise rotation about P by 240 None of the above X](https://media.kunduz.com/media/sug-question-candidate/20230727015327461259-5649645.jpg?w=256)
Geometry
2D GeometryAn equilateral triangle is shown below Line w passes through a vertex and bisects a side Line u bisects each side it passes through Point P is the center of the triangle H P Which transformation s must map the triangle exactly onto itself Choose all that apply Reflection across line w Reflection across line u Counterclockwise rotation about P by 72 O Clockwise rotation about P by 240 None of the above X
![polyr A polyhedron not regular has 10 vertices and 7 face How many edges does it have](https://media.kunduz.com/media/sug-question-candidate/20230727014922421080-4662043.jpg?w=256)
Geometry
2D Geometrypolyr A polyhedron not regular has 10 vertices and 7 face How many edges does it have
![9 If the exact volume of a right circular cylinder is 200 cm and its altitude measures 8 cm what is the measure of the radius of the circular base 10 Suppose that the volume of an aluminum can is to be 97 in](https://media.kunduz.com/media/sug-question-candidate/20230727014621818074-4662043.jpg?w=256)
Geometry
Vectors9 If the exact volume of a right circular cylinder is 200 cm and its altitude measures 8 cm what is the measure of the radius of the circular base 10 Suppose that the volume of an aluminum can is to be 97 in
![4 For a regular tetrahedron find the number of faces vertices and edges in the polyhedron Then verify Euler s equation for that polyhedron](https://media.kunduz.com/media/sug-question-candidate/20230727014857502289-4662043.jpg?w=256)
Geometry
Coordinate system4 For a regular tetrahedron find the number of faces vertices and edges in the polyhedron Then verify Euler s equation for that polyhedron
![1 The oblique circular cone has an altitude and a diameter of base that are each of length 6 cm The line segment joining the vertex to the center of the base is the axis of the cone What is the length of the axis 6 cm 6 cm](https://media.kunduz.com/media/sug-question-candidate/20230727014842680429-4662043.jpg?w=256)
Geometry
2D Geometry1 The oblique circular cone has an altitude and a diameter of base that are each of length 6 cm The line segment joining the vertex to the center of the base is the axis of the cone What is the length of the axis 6 cm 6 cm
![5 For the right circular cylinder suppose that r Sin and h 6 in Find the exact and approxe a lateral area b total area c volume Exercises 3 6 6 Suppose that r 12 cm and h 15 cm in the right circular cylinder Find the exact and approximate a lateral area b total area c volume h](https://media.kunduz.com/media/sug-question-candidate/20230727014603638461-4662043.jpg?w=256)
Geometry
3D Geometry5 For the right circular cylinder suppose that r Sin and h 6 in Find the exact and approxe a lateral area b total area c volume Exercises 3 6 6 Suppose that r 12 cm and h 15 cm in the right circular cylinder Find the exact and approximate a lateral area b total area c volume h
![radius of the circular base find the dimensions of the can 12 Find the height of a storage tank in the shape of a right circular cylinder that has a circumference measuring 67 m and a volume measuring 817 m](https://media.kunduz.com/media/sug-question-candidate/20230727014801659120-4662043.jpg?w=256)
Geometry
2D Geometryradius of the circular base find the dimensions of the can 12 Find the height of a storage tank in the shape of a right circular cylinder that has a circumference measuring 67 m and a volume measuring 817 m
![In Exercises 15 to 20 use the fact that r h 1 in a right circular cone Theorem 9 3 6 16 Find the length of the slant height of a right circular cone with r 52 ft and h 39 ft](https://media.kunduz.com/media/sug-question-candidate/20230727014815018744-4662043.jpg?w=256)
Geometry
2D GeometryIn Exercises 15 to 20 use the fact that r h 1 in a right circular cone Theorem 9 3 6 16 Find the length of the slant height of a right circular cone with r 52 ft and h 39 ft
![In Exercises 23 to 26 find the exact areas of the shaded region 23 8 in 8 in](https://media.kunduz.com/media/sug-question-candidate/20230727012050559885-4662043.jpg?w=256)