Geometry Questions

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

8 Given mAB 112 mDC 34 Find m1 and m 2 4 points B D E C 2

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

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

7 Given AABC with angles as shown AD 4 Find AB C 30 th A 4 D 2 points B

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

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

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

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

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

Use the figure to evaluate ab a b and a b 00 BULLO

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

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

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

Solve the equations on the interval 0 2 2 sin x 1 0

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

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

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

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

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

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

4 Find the area of the shaded region The units are in meters A 6 TM

7 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

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

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

4 Complete the triple 8 x 17 x

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

What 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

QuestionT 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

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

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

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

ces 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

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

15 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

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

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

polyr 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

4 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

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

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

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

In Exercises 23 to 26 find the exact areas of the shaded region 23 8 in 8 in