College Geometry Questions

Show your work here Re 14 12 10 8 6 4 2 N 144 12 10 8 6 4 2 2 4 6 8 10 O 2 for 6 8 10 12 1

Find the complex conjugate 8 7181588

implify the expressio 1481 121 2003

Simplify the expression Write your result in standard form a bi 8108 818 429

Simplify the expression 82484868878

Simplify the expression 885041888224 Show your work here Hint To add the square root symbol type roo

Simplify the expression Write your result in standard form a bi 82 61 852 81

The height of the stone face is feet Do not round until the final answer Then round to two decimal places as needed SIDD

A ship leaves its port and sails on a bearing of N33 50 E at speed 24 3 mph Another ship leaves the same port at the same time and sails on a bearing of S56 10 E at speed 16 3 mph How far apart are the ships after 2 hours Round to the nearest integer as needed miles SCHEES 33 50 56 10

Use the identity cosh x y cosh x cosh y sinh x sinh y to verify the identity cosh 2x cosh x sinh x Let x y Substitute x for y in the equation cosh x y cosh x cosh y sinh x sinh y cosh x y cosh x cosh y sinh x sinh y cosh x cosh x cosh sinh x sinh

For each triangle construct all three perpendicular bisectors to show they are concurrent 11 12 781

Anystate Auto Insurance Company took a random sample of 350 insurance claims paid out during a 1 year period The average claim paid was 1 575 Assume o 256 Find a 0 90 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information Find a 0 99 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information

2 A country has a Life expectancy at birth years 70 7 expected years of schooling years 12 5 mean years of schooling years 9 6 and gross national income per capita 32 465 The maximum for expected years of schooling 18 the maximum per capital income is set at 75 000 and the benchmark life expectancy at birth of 85 years Compute the new HDI for this

Use the balance equation below 2 H g O g 2 H O l If 10 grams of H gas is reacted with 48 grams of O gas Which reactant is the limiting reactant How much H O is produced Show all working

14 y T 3 21 1 H H 2 3 5 cos e 90 180 270 360 450 540

Alte is Frying 98 ft off the ground and its string is oulec taut The angle of elevation of the site is 53 Find the length of the string Round your answer to t nearest tenth 3 D

7 x 8 4 x 1 6 4 2 8 6 2 2 8 2 2

2 8 f x X fool 6 4 3 2 8 6f 4 2 2 N y 6 4 8 x

Construct the perpendicular bisector of side AB of each triangle 3 4 B A B

In the year 2000 the population of a certain country was 285 million with an estimated growth rate of 0 5 per year a Based on these figures find the doubling time and project the population in 2150 b Suppose the actual growth rates are just 0 2 percentage points lower and higher than 0 5 per year 0 3 and 0 7 What are the resulting doubling times and projected 2

The population of a town with a 2016 population of 63 000 grows at a rate of 1 8 per year a Find the rate constant k and use it to devise an exponential growth function that fits the given data b In what year will the population reach 105 000

Devise an exponential decay function that fits the given data then answer the accompanying questions Be sure to identify the reference point t 0 and units of t The pressure of a certain planet s atmosphere at sea level is approximately 900 millibars and decreases exponentially with elevation At an elevation of 25 000 ft the pressure is one third of the sea level pressure At what elevation is the pressure half of the sea level pressure At what elevation is it 3 of the sea level pressure What is the reference point t 0 A the elevation at sea level 0 ft OB the elevation 25 000 ft OC 3 of the sea level pressure OD the pressure at sea level 900 millibars What are the units of t OA millibars B feet C pressure levels At what elevation is the pressure half of the sea level pressure feet

10 Locate the circumcenter of each triangle

For each triangle construct all three perpendicular bisectors to show they are concurrent 11 12

10 The graph of a function f is given Estimate f x dx using five subintervals with a right endpoints b left end points and c midpoints y 1 0 1 48 X milar

Locate the circumcenter of each triangle 7 8

Locate the incenter of each triangle 15 210 16

10 Locate the circumcenter of each triangle

13 14

Inscribe a circle in each triangle 17 18

For each triangle construct all three perpendicular bisectors to show they are concurrent 11 12

B A B Construct the perpendiculer bisector of side AB of each triangle

Find the magnitude and direction of each vector Round your answers to the nearest tenth 10 30

What is sin 60 3 B 3 O A Na Sl O C 1 O D 3 OE 1 2 E OF 5

In triangle ABC m A 35 mZB 65 and a 8 71 Use the law of sines to find b Round your answer to the nearest tenth A 8 7 B 9 5 C 13 8 D 23 7

Let v 2 6 and w 12 4 Which of the following is true A V and w are perpendicular B The x component of v is 6e C w 4 3 1 D v w 48

Parallelogram 1 2 3 5 the transformed parallelogram land in OAI OB II O c III OD IV is transformed using 1 0 Which quadrant does

Calculate the length a to two decimal places B 7 B 117 OA 13 68 OB 14 87 O C 187 2 OD 15 A 9 C

What is the approximate value of sin B B 7 A 17 46 16 OA 2 29 OB 1 09 OC 0 40 OD 0 92

O O 23 B S SS 13 12 67 90

An isosceles triangle has angle measures 40 40 and 100 The side across from the 100 angle is 10 inches long How long are the other sides OA 6 53 inches OB 6 43 inches O C 15 32 inches OD 10 inches

A 12 foot board rests against a wall The angle that the board makes with the ground is 60 How far is the base of the board away from the wall Select the correct trig ratio and distance from wall O A sin 60 12 x 13 85 feet B sin 60 x 10 39 feet O C C cos 60 12 X 6 feet x OD cos 60 12 x 24 feet

What is the length magnitude of the vector 6 3 A 3 B 2 OC 3 5 OD 53

A B C D 5 5 4 5 CE lockwise Identify the transformed vector

Use the law of cosines to find the value of cose Round your answer to two decimal places 5 7 9 8 OA 0 84 OB 1 23 OC 0 23 OD 0 35 10 2 8

The law of cosines reduces to the Pythagorean theorem whenever the triangle is acute OA True OB False

A boat is 400 feet away from one dock and 500 feet away from another dock The angle between the two paths is 45 What is the approximate distance between the docks OA 357 feet OB 166 feet OC 540 feet O D 695 feet

What is the best approximation of the projection of 5 1 onto 2 6 A 0 10 2 6 OB 0 10 5 1 O C 0 15 5 1 D 0 15 2 6

Knowing that sin 30 what is a A 7 OB 3 5 O C 12 12 OD 14 30 7 60

Suppose a triangle has two sides of length 32 and 35 and that the angle between these two sides is 120 What is the length of the third side of the triangle OA 58 04 OB 47 43 OC 33 60 OD 53