Geometry Questions

What is the surface area of this rectangular pyramid 20 ft 18 ft 20 ft square feet

The table below summarizes the number of children per household for a sample of 32 families Number of households Number of children per household 9 children 13 10 X 4 What is the mean number of children per household for these families Round your answer to the nearest tenth 3 2 3

The points scored on a test for a sample of 40 students are summarized in the following table Number of students Score for each student 7 15 points 14 4 90 80 70 60 Find the mean points scored Round your answer to the nearest tenth

Find TU U V Write your answer as an integer or as a decimal rounded to the nearest tem TU

Find the volume of the solid below 5 cm 4 cm 3 cm 7 cm 4 cm 6 cm 3 cm

R W 0 1 Z 1 3 y X 4 0 Y 3 2 What is the perimeter of parallelogram WX O 5 17 units O 2 5 2 17 units O 16 units O 22 units

What is the surface area of this complex figure O 5 492 8 cm O 6 597 3 cm O 7 701 8 cm O 8 806 2 cm Z 37 5 cm 27 875 cm

ctions below a Rewrite the decimal in the sentence below as a percentage The value had decreased to 0 067 of the purchase price b Rewrite the percentage in the sentence below as a decimal The photographer filled 30 of her memory card with animal pictures Percent Decimal

Follow the instructions below a Rewrite the decimal in the sentence below as a percentage The value had decreased to 0 067 of the purchase price b Rewrite the percentage in the sentence below as a decimal The photographer filled 30 of her memory card with animal pictures X Percent Decimal 5

The weekly salaries in dollars for 9 employees of a small business are given below Note that these are already ordered from least to greatest 728 731 814 827 831 874 943 955 965 Suppose that the 728 salary changes to 737 Answer the following a What happens to the median b What happens to the mean It decreases by 0 0 O It increases by OIt stays the same It decreases by O It increases by OIt stays the same X 0 0

Answer each part If necessary round your answers to the nearest hundredth a A color printer prints 16 pages in 5 minutes How many minutes does it take per page minutes per page b It takes 43 pounds of seed to completely plant a 5 acre field How many pounds of seed are needed per acre pounds per acre

Mary rolled a number cube 20 times and got the following results Outcome Rolled 1 2 3 4 5 6 Number of Rolls 5 2 3 154 Fill in the table below Round your answers to the nearest thousandth a Assuming that the cube is fair compute the theoretical probability of rolling a 4 or 6 1 b From Mary s results compute the experimental probability of rolling a 4 or 6 0 c Assuming that the cube is fair choose the statement below that is true O With a large number of rolls there might be a difference between the experimental and theoretical probabilities but the difference should be small O With a large number of rolls there must be a large difference between the experimenta and theoretical probabilities With a large number of rolls there must be no difference between the experimental and theoretical probabilities

The function f is defined as follows Complete parts a to d below X 5 f x 7 X 3 if 3 x 1 if x 1 if x 1 The domain of the function fis Type your answer in interval notation o Locate any intercepts Select the correct choice below and if necessary fill in the answer box to complete your choice A The intercept s is are Type an ordered pair Use a comma to separate answers as needed B There are no intercepts c Graph the function Choose the correct graph below A 26 Q 4 B A The range consists exclusively of one or more isolated values It can be described as Use a comma to separate answers as needed d Based on the graph find the range Select the correct choice below and fill in the answer box es to complete your choice Q The range does not have any isolated values It can be described by G B The range has at least one isolated value It can be described as the union of the interval s Type your answer in interval notation Use a comma to separate answers as needed and the set O C 4 O D X

The monthly rents in dollars paid by 7 people are given below Note that these are already ordered from least to greatest 805 895 970 1055 1080 1100 1165 Suppose that one of the people moves His rent changes from 1165 to 990 Answer the following a What happens to the median b What happens to the mean It decreases by It increases by OIt stays the same It decreases by It increases by 0 It stays the same

Latoya rolled a number cube 1000 times and got the following results Outcome Rolled 1 2 3 4 5 6 Number of Rolls 157 165 179 144 172 183 Fill in the table below Round your answers to the nearest thousandth a Assuming that the cube is fair compute the theoretical probability of rolling a 4 0 b From Latoya s results compute the experimental probability of rolling a 4 7 c Assuming that the cube is fair choose the statement below that is true With a large number of rolls there might be a difference between the experimental and theoretical probabilities but the difference should be small With a large number of rolls there must be a large difference between the experimenta and theoretical probabilities With a large number of rolls there must be no difference between the experimental and theoretical probabilities

ons below a Rewrite the decimal in the sentence below as a percentage One energy drink tested had 0 8 of the amount of caffeine contained in a cup of coffee b Rewrite the percentage in the sentence below as a decimal The mayor spent 62 5 of her yearly income on the campaign Percent Decimal

Researchers asked 200 families whether or not they were homeowners and how many cars they had Their responses are summarized in the following table No car or one car Two or more cars 92 4 Homeowner Not a homeowner 42 a What percentage of the families have no car or one car b What percentage of the families are not homeowners b

What is the position of D on the number line below Write your answer as a fraction or mixed number th D

V There are 5 red marbles and 6 blue marbles in a bag a What is the ratio of red marbles to blue marbles b What is the ratio of blue marbles to all marbles in the bag

Find the perimeter of the following quadrilateral Write your answer as a mixed number in simplest form Be sure to include the correct unit in your answer 1 9 20 1 1 2 1 1 2 0

matrix is A 52 28 If 0 is the angle of rotation of C then cos 0 is Give your answer using truncation to two decimal places

Find x and then any unknown angles in the quadrilateral P X x 26 T 3x 13 Select mZP mZR Select mZT Select mzs Select Select 3x 13 S R

points Write a general formula for all solutions to the equation 2 sin 50 3 0 Use exact radian

Fill in the blanks below a The population of a certain city decreased by 31 000 people Write a signed number to represent this population change 0 b The temperature was 57 degrees above 0 in Fahrenheit today Write a signed number to represent this temperature 0

Outcome Grey White Black Number of Spins 84 34 32 Fill in the table below Round your answers to the nearest thousandth a From Donna s results compute the experimental probability of landing on black b Assuming that the spinner is fair compute the theoretical probability of landing on black 7 c Assuming that the spinner is fair choose the statement below that is true As the number of spins increases we expect the experimental and theoretical probabilities to become closer though they might not be equal The experimental and theoretical probabilities must always bo oqual

11 Experimental and theoretical probability Keisha rolled a number cube 20 times and got the following results Outcome Rolled 1 2 3 4 5 6 Number of Rolls 01 5824 Fill in the table below Round your answers to the nearest thousandth a Assuming that the cube is fair compute the theoretical probability of rolling a 1 or 5 b From Keisha s results compute the experimental probability of rolling a 1 or 5 0 c Assuming that the cube is fair choose the statement below that is true As the number of rolls increases we expect the experimental and theoretical probabilities to become closer though they might not be equal The experimental

In a survey 150 people were asked if they smoke and whether or not they exercise regularly more tha below Exercise regularly Do not exercise regularly Smoke Do not smoke 5 25 25 95 a What percentage of the people do not exercise regularly b what percentage of the people do not smoke a b 0 X 5

Fill in the blanks below a A car corporation produced 1000 more cars this month than last Write a signed number to represent this month s change in production 1 b A hibernating animal lost 3 pounds Write a signed number to represent this weight change 1

The table below summarizes the birth weights to the nearest pound of a sample of 39 newborn babies Number of babies Birth weight of each in pounds 5 3 pounds 10 16 10 6 X 7 Find the mean birth weight of these 39 babies Round your answer to the nearest tenth 8

A sample of 27 customers was taken at a computer store Each customer was asked the price of the computer she bought Here is a summary Number of computers Price paid for each in dollars 2300 7 11 1 9 800 2150 Find the mean price for this sample Round your answer to the nearest dollar X 5

Fill in the blanks Then choose the property of multiplication you used a Introduction to properties of multiplication c b x 4 x 8 3 x 4 d x1 7 6x0 0 2 x 8 8x x 8 Choose one Choose one Choose one Choose one 5 2

The spinner below shows 5 equally sized slices Lisa spun the dial 100 times and got the following results Outcome White Grey Black Number of Spins 32 45 23 Fill in the table below Round your answers to the nearest thousandth a From Lisa s results compute the experimental probability of landing on black or grey h Assuming that the spinner is fair compute the theoretical probability of landing on black or

A movie club surveyed 300 high school students The students were asked how often they go to the movies and whether they prefer action movies or comed Their responses are summarized in the following table Action Comedy b Twice a month or less 102 102 a What percentage of the students go to the movies three times a month or more b What percentage of the students prefer action movies Explanation Three times a month or more 30 66 Check X 5 2022 McGraw Hill LLC All Rights Reserved Terms of Use Privacy Cent

The following list gives the number of public libraries in each of 9 cities 5 5 8 7 4 5 4 7 4 Find the modes of this data set If there is more than one mode write them separated by commas If there is no mode click on No mode 11 X No mode S

Find the length of the median in each trapezoid 12 14 in 13 15 20 mm 2 in 60 mm 10 yd 16 4 0 cm 30 yd Van 9 6 cm 14 17 32 m 64 m 35 ft 18

A heptagon is shown in the figure below xo The two missing angles are equal and labeled with x If the sum of all other interior angles is 675 what is the angle measure of x Round to the nearest hundredth For example if answer is x 49 5643 enter 49 56 Do not include x the degree sign in your answer

The table below summarizes the amount of milk consumed by a sample of 33 families last month Number of families Number of gallons per family 2 gallons 15 16 1 X 4 For these families what is the mean number of gallons of milk consumed Round your answer to the nearest 5

1 Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU a b C d Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G H J and STU Translate GHJ by the directed line segment GS Rotate G H J using S as the center by angle H ST Reflect G H J over ST Translate GHJ by the directed line segment GT Rotate G H J using T as the center by angle H TS Reflect G H J over ST Translate GHJ by the directed line segment GS Translate G H J by the directed line segment H T Translato C I bu the directed line coament HT

se the fact that matrices A and B are row equivalent 1 21 0 0 2 5 1 1 0 3 7 2 2 2 8 18 6 2 8 10 30 4 1 0 A B WN 01 00 00 2 0 1 2 000 a Find the rank and nullity of A rank nullity b Find a basis for the nullspace of A c Find a basis for the row space of A

2 Reflect triangle STU across line ST Which of these is a valid reason why the image of U will coincide with J a S The image of U and J are on the same side of ST and make the same angle with it at T b The image of U and J are the same distance along the same ray from T The image of U and I will not coincide after reflection over ST d Line ST is the perpendicular bisector of the segment connecting U and J because the perpendicular bisector is determined by 2 points that are both equidistant from the endpoints of a segment C T

Given LA LC CF AD Prove AE CE 14 Steps LA LL 2 CF AD LE LE C 0 B E Reasons Given Given Identity CPCTC F

Find the missing angle measures in each isosceles trapezoid 18 O 19 J K 20 W D Z 120 M 85 Z 100 X

The figure below shows a block of butter Which shape does the intersection of the vertical plane with the block of butter like O Circle O Rectangle O Triangle Square

16 iven BD bisects LABC LA LC Pune AB BL 3 Steps BD bisects LABC LA LC BD BD 4 LABD LCBD AB BC A B D Reasons Given Cel Given Identity C Definition of Bisector AAS

1 6 iven BD bisects LABC LA FLC Puse AB BL Steps BD bisects LABC LA LC BD BD LABD LCBD AB BC D Reasons Given Given Identity Definition of Bisector AAS

3 In quadrilateral EFGH HK KF and LKHE LKFG Show that quadrilateral EFGH is a parallelogram by providing a reason for each step LFKG a LEKH b AEKHAGKF c EH GF d EH GF e EFGH is a parallelogram H E K G F

15 Determine whether quadrilateral XYZW is a parallelogram Give reasons for your answer W X

1 Find the exact value of the expression Don t plug this into a calculator use your knowledge of inverse trig functions to find the exact value csc sin 1 185 11

1 Consider the right triangle ABC given below B C 25 b 25 A Part I Use the 25 angle and the sine ratio to find the length of side b to two dec places 2 points Part II You can find the length of side a using cos 25 tan 25 or the Pythagorea theorem Find the length of side a to two decimal places using one of these methods 2 points

Given Square ABCD Prove AC BD D A