Geometry Questions

A grab bag contains 7 football cards and 3 basketball cards An experiment consists of taking one card out of the bag then selecting another card What is the probability of selecting a football card and then a basketball card if a the first card is not replaced b the first card is replaced Express your answers in decimal form If necessary round answers to the nearest hundredth a 0 23 b 0 21 a 0 09 b 0 49 a 0 21 b 0 23 a 0 49 b 0 09

table below shows the number of days that a meteorologist predicted it would be sunny and the number of days it was sunny Based on the data in the table what is the conditional probability that it will be sunny on a day when the meteorologist predicts it will be sunny Predicts sunny Does not predict sun Total 57 59 90 Not Sunny 570 20 590 Sunny Total 63 347 410 633 367 1000

Of 50 students going on a class trip 35 are student athletes and 5 are left handed Of the student athletes 3 are left handed Which is the probability that one of the students on the trip is an athlete or is left handed Athletes 0 2 0 5 0 74 0 8 Left handed

A grab bag contains 8 football cards and 2 basketball cards An experiment consists of taking one card out of the bag replacing it and then selecting another card Determine whether the events are independent or dependent What is the probability of selecting a football card and then a basketball card Express your answer as a decimal independent 0 18 dependent 0 04 dependent 0 64 O independent 0 16 None of the other answers are correct

Of 100 workers in a stadium 42 work in the concession stands and 88 are wearing name tags Of the workers in the concession stand five sixths are wearing name tags Which is the probability that one of the workers is in concessions or is wearing a name tag Works Concession 0 3 0 87 0 95 O 1 Is Wearing a Name

The diagram shows the sample space of all equally likely outcomes Find the probability of rolling two 2 s Express your answer as a fraction in simplest form 1611 1 6 1 36 M A 8

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