Geometry Questions

r t 5 4 sint cost 4 3 2 1 A Clear All Draw 5 4 3 2 1 M Z 2 3 4 5 1 2 3 4 5

An experiment consists of rolling two fair number cubes 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 DDD DE DA 03 06 01 0 03 0 BADHO BR BA BO AN B 88 O None of the other answers are correct

Find the Domain and the value field 7 y f x 4 3 2 3 2 3 X

the figure In the given figure lines a and b are parallel Which angles can be proven to be congruent to angle 1 1 4 3 6 a

Directions Using a five sided spinner conduct an experiment to compare experimental probability with theoretical probability Using a five sided spinner you construct or a digital five sided spinner complete the following steps write the probabilities as a fraction 1 What is the theoretical probability of spinning yellow

Watch on youtube Suppose a Ferris Wheel has a diameter of 30 meters the center is 19 meters off the ground and it makes 2 revolutions per min Draw this Ferris Wheel labeling the radius height and center Supposing the minimum height of the Ferris Wheel occurs when t 0 write the sinusoidal function for the height as a function of time Lastly graph the function on a coordinate plane do not submit a digital calculator graph label the key points Part 2 Design your own Ferris Wheel determining diameter center and speed Write the function for the height of the Ferris Wheel as a function of time Is your Ferris Wheel realistic Does it travel too fast or too slow

From the image below c sinB b SinC B A Select one O True O False Answer h a b C For triangle DEF given sides d 38 e 42 and f 47 Find measure of angle F Your answer be numerical only and round to the nearest tenth

Directions Using the digits 1 to 9 fill in the boxes to produce a log that meets the indicated requirements Each digit can only be used once log Produces an integer log Produces an irrational number

Jed is working on stained glass project and needs to draw a triangle with side of 7 11 and 15 inches out of lead cane to enclosed the glass is the largest angle he needs to create using leading cane

Directions Using the digits 0 to 9 fill in the boxes so that the chart is accurate Use each digit only once per blue box and once per red box Logs are base 10 Note The green parenthesis indicates how to enter it into a calculator Increasing Size Increasing Size 969 log log loglog 1 C log 0

For f x 4x 1 and g x x 5 find f g x OA x 4x 4 OB x 4x 6 OC 4x 4 OD 4x 19

If f x 3x 1 and g x x 2 find f g x OA 3x x 1 OB 4x 1 OC 3x x 1 OD 3x 2

For f x 3x 1 and g x x 6 find f g x OA x 3x 5 OB 3x 17 212 ne

If f x 5x and g x x 1 find f g x OA 5x 5x OB 5x 1 O C 6x O D 5x 1

A student gets paid to sell food and drinks at the school play during intermission He earns an hourly rate of 12 plus an extra 0 50 for each bakery item he sells and 0 25 for each drink he sells If h hours b bakery items and d drinks what function can he use to calculate his earnings OA T h b d 12 2 4 b d OB T 12h 2 4 O C T 2b 4d 12 24 OD T 12h b d

For f x 3x 1 and g x 6 find OA OB O C O D 3x 1 3x 1 3x 1 3x 1 32 6 3

Is the graph increasing decreasing or constant where 8 x 10 10 10 8 6 49 A Increasing B Decreasing C Constant

Is the graph increasing decreasing or constant 8 9 8 4 2 2 y A Increasing OB Constant C Decreasing 2 4 C

Is the graph a linear function nonlinear function or relation S 10 5 OA Relation OB Nonlinear function C Linear function

hich graph is a relation non function OA OB 10 84 78842 10 1 10 8 10 OC 10 8 b KT E do doh N N 8 10

Find the sum of the first 6 terms of the geometric sequence 7 14 28 Select one a 441 Ob 286 O c 550 d 443

Is the graph increasing decreasing or constant 10 0000 8 6 4 21 88 42 2488 10 12 4 999 8 O A Constant OB Decreasing OC Increasing

The series 20 24 28 8 34 56 is The series divergent convergent can not be determined The sum

Find a10 of a geometric sequence if the first few terms of the sequence are given by 2 4 8 16 Select one a 1024 Ob 1024 OC 1460 O d 518

Find the sum S 4 K 1 Select one O a 60 Ob 32 O c 108 d 54 2k 1

If the given sequence is a geometric sequence find the common ratio 64 32 16 8 4 2 Select one O a 2 b 2 O c 1 2 O d 4

Find the sum 5 S WE K 1 Select one a 31 Ob 16 C 48 d 0 2k 1

Find the sum of the first seven terms of the geometric sequence 2 10 50 Select one a 44 002 b 211 O c 31 234 Od 39 062

Find the 10th term of the sequence 3 6 12 24 48 The 10th Term is

A sum of a geometric series is given for n number of terms Find the value of n 1111 1 10 1 10 Select one a 4 b 121 O c 3 O d 5 2

Find as when a 2 and r 2 Select one a 128 Ob 32 c 64 Od 64

OA B 10 co 48 4 HB LA DIY 10 DNB 14 cy99 H K 34 10 C 8 9 THE INT 1999 2 1215 2 4 6 8 10 2 4 8 8 10 14 6 8 10 12 10 18 8 OC o 342 2 14 8

assity function graph as a linear function nonlinear function or relation non O A Linear function O B Nonlinear function C Relation

Given the function f x 150 2 Complete the following sentence An acidophilus culture containing bacteria after 12 hours bacteria in population every hour Predict the numbe

The graph below shows the function f x bx Which must be true about b TU 9 8 5 4 3 2 1 Select one a b 1 b b 1 c b 0 d 0 b 1 D 2N 7 N 65432 6 3 2 2 3 4 5

If f x 5x then find the value off 2 Select one a 1 Ob 25 O c 1 25 O d 5

Which equation is represented by the graph 10 10 10 5 Select one or more a y x b y 3 2 c y 5 d y 2 e y lo 5 10 10 5 10

Choose the graph of y ln x 1 Select one a b 10 10 5 5 10 5 0 5 10 10 5 0 5 10 10 5 5 10 10

If f z 2 Can f z ever become zero Select one a Yes b No

The function f x demonstrate quadratic increase linear growth exponential decay exponential growth linear degression

Find EF in the trapezoid EF x 7 A D A 4x E 35 B

Find the measures of the numbered angles in the kite m 1 O B A 49 D

Find the value of the variable in the isosceles trapezoid X 61 3x 10

Find the values of the variables in the kite X Type an integer or a fraction 3x 5 Jo 4x 40 8y 50

Find the measures of the numbered angles in the kite shown to the right m21 38 S 1 3 4

3 For independent random creams produced in two different factories the amount of fat was measured and summary statistics are given below Assume that the fat content is normally distributed Factory Factory B n Y S 13 31 2 2 5 11 30 8 3 4 a It is suspected that the creams produced in factory A are higher than the fat content of creams produced in factory B a 0 05 Write Ho and Ha take the test and interpret 20 points b Calculate the significance level of the test 10 points

Solve for x logx log x 9 1 Select one or more a x 10 b x 1 c None of these d x 10

Solve for x Round to the nearest tenth when necessary 1 5 1 14 5

find the domain of each function in interval notation f x 2r 5r 6 x 3

Luke incorrectly graphed the function g x log x 1 1 transformations of the graph of f x log x First he stated using what transformations to perform Then he drew the graph 1 A shift left 1 unit 2 A vertical compression by a factor of 1 3 A shift down 1 unit 2 1 04 2 y 3 1 2 3 1 2 3 3 4 What mistakes did Luke make Describe the correct transformations to ge