Geometry Questions

In a bag of 60 candies 36 are green and 45 have caramel in them If the events of picking a green candy and picking a candy with caramel are independent what percent of the green candies have caramel in them 25 60 O 75 100

A six sided number cube is rolled 350 times and the results are recorded as follows 58 ones 63 twos 52 threes 61 fours 60 fives and 56 sixes What is the experimental probability of not rolling a five Round to the nearest whole percent if necessary 83 93 17 7

A teacher asks two students in the class to think of a number between 1 and 100 Tell whether the events are independent or dependent Event A Brooke picks 23 Event B Shari picks 88 O dependent O independent O None of the other answers are correct

Find the value of h for the parallelogram Answer 24 36

3 Shortest Route Algorithm If you start at vertex A and use the Shortest Route Algorithm what would be the second path to be selected highlighted AB AC 25 points ACE A 4 8 D 2 4

Find the area of the polygon with the given vertices A 2 2 B 5 5 C 5 0 D 2 3

Find the value of h for the parallelogram 8 4

3 Shortest Route Algorithm What is the length shortest path from A to C in the graph below B 3 2 25 points 4 4 1 3 5 2 3 C

15 tan X Z 40 50 Y 30 X

4 34 32

Let p represent the focal length distance between the vertex and focus The vertex of a parabola is 1 4 and the focus is 1 4 The equation of the directrix is The value of niS 0 0 man A

The Ain Dubai is the world s largest ferris wheel The diameter of the wheel is 250 meters If there are 48 cabins to ride what is the distance between the cabins

Given right triangle ABC with altitude BD drawn to hypotenuse AC If BD 18 and DC 6 what is the length of AC A B 18 D 6 C

is problem p is in dollars and x is the number of units demand function for a certain product is p 190 2x and the supply function is p 33x 73 Find the producer s surplus at the equilibrium point Round x and p to two decimal places and your answer to the nearest cent

find the distance across a river a surveyor chooses points A and B which are x 200 ft apart on one side of the river see the figure She then chooses a reference point C on the opposite side of the river and finds that LBAC 82 and LABC 52 Approximate the cance from A to C Round your answer to the nearest foot ft A x ft 82 52 B

EM V Round your answer to the ne 2 S 13 5 The diagonal of a rectangle is 25 in The width is 15 inches What is the length

Suppose that the origin on a computer screen is in the lower left corner of the screen A target moves along a straight line at a constant speed from po 670 460 to point B 470 320 in 2 sec Part 1 of 2 a Write parametric equations to represent the target s path as a function of the time in sec after the target leaves its initial position The parametric equations are x 670 1001 and y 460 70t for 0 t 2 Part 1 2 Part 2 of 2 b Where is the target located 1 4 sec after motion starts The location of the target 1 4 sec after motion starts is

Find the area of the figure Sides meet at right angles 6 m 2 m 3 m 3 m 2 m 3 m 6 m m

O is the center of the regular hexagon below Find its perimeter Round to the nearest tenth if necessary 18

What is the value of y y Type an integer or a decimal 4 10

Find the area of the figure 8 m 5m 8m 6 m 5m

Find the area of the figure 15 cm 15 cm 11 17 cm 8 cm

Find the surface area of the figure below 8 yd 17 yd 17 yd 17 yd 14 7 yd

6 10 06 Review In circle K above the area of sector JKL 94 etermine m JKL to the nearest tenth of a degree A 94 in K O

Find the lengths and area A The length of the arc is yards Round to three decimal places as needed The area A of the sector is square yards Round to three decimal places as needed A 20 10 yd

Question 1 25 points Hamilton Circuits Paths Find a HAMILTONIAN CIRCUIT of the graph below C A B D E F G H ABCDEFGHI ICFGHDABE ABEDHGFCIA a circuit is not possible

If tan 0 2 a sin 20 3 0 3r find the exact value of each of the following 2 0 2 c sin b cos 20 c sin a sin 20 Type an exact answer using radicals as needed 0 2 b cos 20 Type an exact answer using radicals as needed 0 2 Type an exact answer using radicals as needed d cos 2 Type an exact answer using radicals as needed d cos

Question 3 25 points Hamilton Circuits Paths Which of the below descriptions shows a possible HAMILTON PATH EFADECBA FECBAD ADEFBC ADECBAFE A D F E C B

Simplify the logarithmic expression Express powers as factors log 5z7 log 5z Type an exact answer in simplified form

Hamilton Circuits Paths Which of the following is a Hamiltonian Circuit beginning at vertex A for the given graph ABCDA ACBDA ADBCA all of the above Question 3 25 points D A C B

Question 1 25 points Hamilton Circuits Paths Which of the below descriptions shows a possible HAMILTON CIRCUIT ADFECGBA ADFECBG ADFABGDECBA A D F E C B G

Rewrite cot 8 sec 0 in terms of sine and cosine cot 0 sec 8 Simplify your answer

Information is given about a polynomial f x whose coefficients are real numbers Find the remaining zeros of f Degree 4 zeros i 14 i The remaining zero s of f is are Use a comma to separate answers as needed

78 Name 2 At Pizza Pie Heaven a large pizza has a 16 in diameter and is cut into 8 equal slices Per What is the approximate length of the arc formed by the crust of one slice Be sure to show your work

Cuestion 3 Write the equation of each circle below in circle form Iden the center and radius Practice at least 1 of these a x 10x y 2y 20 0 b x 8x y 2y 8 0 c x 12x y 20y 8 0

Quiz 2 Target 78 Name 78 Calculate measurements of arcs sectors and circles using degrees and radians NM PT AT 1 Three friends bought a giant cookie cake and divided it into equal parts so that each of them got 1 piece The Cookie cake has a radius of 13cm Find the area of each person s piece Be sure to show your work 360 120 3 Per

120 B O 112 E A D C N What is the value of z O 52 O 104 O 116 O 208

9 F 10 8 B 2 15 3 G 16 11 12 14 17 21 13 18 20 4 6 19 C 5 D E Given G is the center of the circle AD is a diameter mAB 78 mFE 105 mED 27 mCD 42 m 1 m 2 m27 m 8 m 9 m 10 m 11 P D m 19 m 20 m 21 All Things Algebra 2015

54 32 D 4 1 112 Marcel is designing a circular necklace that will consist of 4 sections each with a different color of plastic Determine how he needs to cut the plastic by finding the measures of the angles m21 m22

or angles formed by two intersecting chords 1 The intersecting chords form vertical angles If mZDEB 105 then mZAEC 105 2 Find the sum of the angle measures mZDEB mZAEC 210 0 3 Find the sum of the arc measures mBD MAC Correct 0 mZDEB 105 mZAEC 105 mAC 130 mBD 80 B E C

Explore the properties of angles formed by two intersecting chords 1 The intersecting chords form vertical angles If m2DEB 105 then mZAEC 105 MIDA C 2 Find the sum of the angle measures mZDEB m2AEC D mZDEB 105 m ZAEC 105 B A C

Words to Know Write the letter of the definition next to the matching word as you work through the lesson You may use the glossary to help you A arc chord inscribed angle intercepted arc tangent to a circle Central Angles anangle whose vertex is on a circle and whose sides are chords B an arc in the interior of an angle that has its endpoints on the angle C a part of a circle between two given endpoints D a line line segment or ray that intersects a circle at exactly one point and contains no points inside the circle E a segment with both endpoints on a circle

C O A UU Which segment is both a chord and a diameter segment

Directions Determine whether a permutation or combination can be used Then solve 19 Three cards from a standard deck of 52 cards are chosen at random What is the probability that all three cards chosen are hearts 21 If the 3 digit security code on the back of a credit card using the digits 0 9 has no repeating digits what is the probability that the code does not contain any numbers less than 52 20 Marissa has a 50 20 10 5 and 1 bill in her wallet She takes the bills out and randomly line them up What is the probability that the first bill is greater than 5 22 There are twelve seniors and eight juniors on the prom committee If two students are chosen at random to decide on decorations what is the probability that one is a senior and one is a junior

In the triangle below with right angle LE suppose that mLF 2x 37 and mL G 5x 4 Find the degree measure of each angle in the triangle G E 5x 4 2x 37 F m ZE m LF m LG 0 0 0

Directions Determine whether the examples Example 7 There are 15 students waiting at the bus stop If the bus can only fit 6 more students how many ways can the driver select the students to ride the bus 8 How many ways are there to make 5 letter arrangements out of the word DISCOVERY 9 A lock contains the numbers 0 39 The lock will open when the lock is spun to the correct 3 numbers in order How many different 3 number combinations are possible for the lock if the numbers cannot repeat 10 There are 18 baseball teams in a league How many ways can the league choose two teams to play each other on opening night 11 A multiple choice test contains 35 questions If the teacher allows the students to omit any 10 questions how many ways can a student choose which questions to answer 12 There are 45 golfers in a tournament How many ways can they win first second and third place P C 4 How many 7 digit phone numbers are possible using the digits 0 2 if the digits can not ropogt and the first C P P P C P 13 Alana has 17 dresses in her closet In how many ways can she select 4 to pack for a trip P Solve 156 15116 15 6 156 5005 ways 985 91 91 4 9 51 15 20 754443 45 45 45 3 42 85 140

4 The equation of the circle is x y 2x 6y 71 What are the coordinates of the center and the lengt of the radius of the circle 2 points a Radius 9 center 1 3 b Radius 9 center 1 3 c Radius 81 center 1 3 d Radius 81 center 1 3 O A O B O c C

5 The center of a circle is 1 15 and one point on the circle s circumference is 4 15 What is the length of the diameter 2 points a 5 b 10 c 25 d O O O 100 A OB O C

3 In a circle with center O central angle AOB has a measure of radians The area of the sector formed by central angle AOB is what fraction of the area of the circle 2 points a b C d 74 780 IN H 7 O A OB O C

2 In the diagram above AC and AD are tangent to circle B at points C and D respectively If CB 4 and AE 8 determine the length of AC in simplest radical form 2 points a 8 2 b 4 2 c 4 3 d 8 3 O A O B O C A E B