Geometry Questions

on the board What is the probability that one dart hit the white area and the other dart hit the dark gray area white area 1 2 x 16 x 16 2 64 cm Dark area 3 14 x 16 2 200 96 cm 200 96 64 136 96 cm Area of square 16 256 cm p 64 256 x 136 96 256

Use for questions 8 11 A bag contains 20 slips of paper individually numbered 1 20 If a slip of paper and a letter in the word PENNSYLVANIA is chosen at random find each probability 8 P less than 15 then a vowel 9 P multiple of 4 then V 10 P at least 11 then N 12 Bella guessed on the last three questions on her science test If each question has five answer choices what is the probability she got all three correct 11 P a prime number then a consonant 13 It has rained two out of the past nine days Based on this data what is the probability that it will not rain for the next four days

Use for questions 1 3 There are 9 red markers 5 blue markers 14 yellow markers and 8 green markers in a pencil box A marker is chosen at random replaced then another is chosen Find

6 U B a sin b cos c tan E 32 4 cm Question 2 1 point For the diagram below which primary trigonometric ratio would you pick to solve the unknown value D 47 A a sin b cos c tan 6 cm

Question 5 1 point For the diagram below which primary trigonometric ratio would you pick to solve for the unknown value 3 8 cm R 37 a sin b cos c tan Question 6 1 point For the diagram below which primary trigonometric ratio would you pick to solve for the unknown value 2 8 m W 58

From the given figure find the length h Show all your steps to get full marks h 3 98cm 0 48cm R1 00cm 2 84cm

Expo sin 2u cos zu sin u 4 5 37 2 u 27t tan 2u

MANUSI Homework Members of the board of directors of an associatio N and city B The preference table for the 31 men criterion

You roll a 6 sided die What is P 6 or 1 Simplify your answer and write it as a fraction or whole nun

Check for Understanding 7 The triangle shown has vertices at A 3 1 B 1 2 and C 4 2 Find the area of triangle ABC 3 4 1 2 7 A A 22 8 4 A 16 2 A 4 4 7 14 unite16 4 12 unit 3 4 A T B 4 2 C 172

Practice 8 Find the area of the shapes below using addition or subtraction a b 60 putty A b h A R 11 66 11 R 66 89 unit c P A R A 9 4 18 9 4 18 31an 25 Z d WAY W 10 0 2 Y A 1 6 4 12 679 12 27 unit 2 32 7 A8 4 N A b h 4 8 1 8 34 A 32

All four sides of quadrilateral tangents of a circle then ABCD are PTET Nov 2011 1 AC AD BD CD 2 AB CD BC AD 3 AB CD AC BC 4 AC AD BC DB

Problem 2 50 points A population of 1 000 semiconductor wafers contains wafers made by three machines A B and C In the population 430 wafers are from machine A and 220 are from machine B A wafer will either meet or not meet a thickness specification For machine A 90 of its products confirm the thickness specification For machine B 15 of its products do not confirm the thickness specification For machine C 94 of its products confirm the thickness specification A wafer is chosen at random from the population A If the wafer is from machine A what is the probability that it is conforming B If the wafer is conforming what is the probability that it is from machine A C If the wafer is conforming what is the probability that it is not from machine C D If the wafer is not from machine C what is the probability that it is conforming

The drawing for a right triangular roof truss represented by AABC is shown in the accompanying diagram If LABC is a right angle altitude BD 4 meters and DC is 6 meters longer than AD find the length of base AC in meters A B D C

4 In circle L the length of MN 3 7 and m ZMLN 45 Find the area shaded below Express your answer as a fraction times T L N M

5 The accompanying diagram shows part of the architectural plans for a structural sup a building PLAN is a rectangle and ASL IN P 4 AN Which equation can be used to find the length of A S 1 LS AS AS SN 2 3 AS SN AS LN S N AS LS AS LS LS A Maz N

In the diagram below QM is an altitude of right triangle PQR PM 8 and RM 18 Solve for QM 8 M 18 R

Triangle RST is similar to AXYZ with RS 3 inches and XY 2 inches If the area of ARST is 27 square inches determine and state the area of AXYZ in square inches

2 Delroy s sailboat has two sails that are similar triangles The larger sail has sides of 10 feet 24 feet and 26 feet If the shortest side of the smaller sail measures 6 feet what is the perimeter of the smaller sail

1 The base of an isosceles triangle is 5 and its perimeter is 11 The base of a similar isosceles triangle is 10 What is the perimeter of the larger triangle

Homework The university administration has asked a g for improvement over the next year The cho summarized in the preference table

work Que e board of directors of a food company is holding an election t pansion to its corporate headquarters The 18 members of the mpanies Becker B DiMarco D LaChase L and Merende the right

1 1 Homework A family is trying to decide whether to go to Chicago C Kaccording to the following preference table Determine the Number of Votes 4 First Choice C Second Choice Third Choice ZO N 2 ZOON C 1 4 1 C N O O O N N C C

work Mathematics Department is holding an election for depa idates Clark C Jones J and Smith S mber of Votes 7 First J Second S Third C 10 4 8 S JC JC S C S J

nework The university administration has asked a group of stude arget for improvement over the next year The choices w center The votes are summarized in the preference table

ts Il Mode Live Online Class 362 omework 91 voters are asked to rank four brands of cereal A B C 45 25 12 Number of Votes First Choice Second Choice Third Choice Fourth Choice DABO A B C C D 2BCAD ooom 9 C D A B

In circle V m WVX 50 and the area 5 of shaded sector T Find the length of WY X Express your answer as a fraction times TT Y V W X C

9 1 the triangle Round decimal answers to C 14 B 56

4 A circle is inscribed in the square Find the area of the shaded region Round your answer to the tenths place A4414 4 2 16 16 in 12 04 0 r 2 in 4 in 4 in unod abnor abals fan to cansertbonent autt burkolme HD 2022461 2 88 5 A shape is constructed from a rectangle whose length is 10 inches and whose width is 8 inches along with a semicircle attached at the end What is the total area of this shape Leave your answer in terms of 10 in 1 80 32 1 12 5 2 18 3 3 21 7 4 28 6 3 80 8 4 96T 8 in 4 in Challenge 6 In the following diagram a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches Which of the following represents the area of the shaded region rounded to the nearest tenth of a square inch 8 in 8 in

You are painting a jewelry box in the shape of a square pyramid How much paint will you need 10 in 13 in

8 i he triangle Round decimal answer K 1 26 33 A

71 e the triangle Round decimal answer B 85 19 47 C

6 i d the area of the triangle Round your 16 B 67 20 C

4TH i area of the triangle Round your ans 70 C 45

Given Universal Set U 1 3 4 8 12 Subset B 1 3 4 8 12 What is the complement of Set B in Set U O 3 4 12 O 1 3 4 8 12 O 1 3 4 8 12

Given Universal Set U 1 2 3 5 6 7 11 12 Subset B 1 3 5 What is the complement of Set B in Set U 1 3 5 11 O 1 2 3 5 6 7 11 12 1 3 5 O 2 6 7 11 12

1 Choose the partially colored map that could be color

Given Universal Set U 2 3 4 5 6 7 9 Subset B What is the complement of Set B in Set U 3 4 5 9 3 6 2 4 5 7 9 2 3 4 5 6 7 9 2 4 5 7 9

Universal Set U 3 5 6 7 10 11 12 Subset B 10 What is the complement of Set B in Set U 10 3 5 6 7 10 11 12 3 5 6 7 11 12 O 5 6 10 11

Given Universal Set U 1 2 4 6 11 12 Subset B 2 What is the complement of Set B in Set U 1 4 6 11 12 1 2 6 11 1 2 4 6 11 12 2

Given Universal Set U Subset B 2 3 6 10 11 12 2 10 11 What is the complement of Set B in Set U 2 10 11 2 3 6 10 11 12 O 3 6 12 2 6 10 11

Set A Set B 1 8 10 1 7 8 10 1 1 8 10 8 10 7 8 10 What is the intersection of sets A and B

CABULARY What information do you nee three angle measures the lengths of three sides two angle measures and the length of t

Given Set A Set B 2 3 11 12 1 4 5 7 11 What is An B 11 1 4 5 7 O 1 2 3 4 5 7 11 12 2 3 5 7 11 12

Set A 2 3 5 6 7 11 Set B 1 3 8 9 11 12 What is AU B 1 2 3 5 6 7 8 9 11 12 2 5 6 7 3 11 O 2 3 6 7 8 9 11 12

Given Set A 1 6 8 9 11 12 Set B 5 6 7 9 10 11 What is AUB O 1 8 12 6 9 11 1 5 6 7 8 9 10 11 12 0

Why do we need to shade areas for a common solution g complete sentences and write at least one paragraph

Given Set A Set B 1 4 9 11 1 4 7 8 What is AUB 1 4 7 8 9 O 1 4 7 8 9 11 1 4 9 11

Given Set A 2 11 12 Set B 9 11 2 9 11 12 9 11 12 11 O 2 12 What is An B

Given Set A 9 10 12 Set B 3 4 6 What is the intersection of sets A and B 3 4 6 9 10 12 3 6 9 10 12 9 10 12 0