Coordinate system Questions and Answers

In the figure to the right if AC 12 and BC 9 what is the radius The radius is approximately B De C A Round to the nearest tenth as needed

Find the scale factor of a prism with the surface area of 81 m to a similar prism with the surface area of 361 m Select one a 729 6859 b 6859 729 c 9 19 d 19 9 Check Find the scale factor of a cube with volume 216 ft3 to a cube with volume 1000 ft Select one a 100 36 b 3 5 c 36 100

vertices at 5 2 and 5 8 and minor axis length 6

Find the first five term of the sequence where 3 S 5 Classify the sequence as arithmatic geometric fib s 9 and s 1 n p n 2

Use Euler s Formula to find the number of faces in a polyhedron with 12 edges and 8 vertices Answer Check Use Euler s Formula to find the number of edges in a polyhedron with 9 faces and 14 vertices Answer Check

Find the degree measure of the angle with the given radi 1 7

circle Express your answer in terms of pi and as a decimal rounded to the nearest tenth 1 2 11 ft 9 mi 3 Circle X with a radius of 4 mm 8 yd

33 Find the AREA of the circle Use 3 14 for pi O 15 7 O 31 4 O 78 5 O88 3 7 5

11 What is the new coordinate for Point T after it is reflected over the x axis O 2 4 O 2 4 O 2 0 O 2 4 T

10 What is the line of reflection for triangle ABC 3 machac O y axis O x axis O y x O y x B 4 V B 4 C 3 15 A

1 Point A which is located at 4 3 is translated 4 units to the left What are the coordinates of point A A 0 3 B 8 3 C 4 7 D 4 1 A Question OB O C O D

5 m v Find an equation for the graph above 4 3 2 1 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 234 5 1 2 3 4 5 6 7 8 9 10 p

Find the m21 Answer Check Find the m2 3 use the figure below

Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P 3 3 1 Q 8 8 6 and R 8 8 10

Graph the function below by selecting the correct reflection then move the vertical asymptote and the key point f x log x 2 Provide your answer below Reflection 191 2 3 4

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

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

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

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

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

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

Find the area of the figure Sides meet at right angles 14 cm 7 cm 5 cm 4 cm 5 cm 5 cm 5 cm 7 cm

A AC Given BC 11 mm AB 30 in in B C

Find the lengths of the diagonals of rectangle ABCD D A Xt 10 2x E ly 19 415 C B

Ve an EXACT answer No decimals No calculator X 60 45 12

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

Find the volume of the solid below 5 cm 5 cm 6 cm 1 5 cm I 16 cm 5 cm 6 cm

Volume of a piecewise rectangular prism Find the volume of the solid below 8 cm 6 cm 11 cm 5 cm 3 cm 1 cm 3 cm S cm

2x 20 Equation 6x 24 Angle Type Alternate Interior r S

15 10 5 0 5 10 15 20 Exercises 12 17 Replace each with or to make a true sentence 13 HK OK 12 MT JT 14 JU OS Determine if each statement is true or false 15 MHZ JS 16 HTTM 17 KH U

Write an equation of the line below K 8 7 6 5 4 3 2 2 8 6 S 4 2 23 6 7

Graph the region R bounded by the graphs of the equations Use set notation and double inequalities to describe R as a regular x region or a regular y region whichever is simpler y x3 y 3 2x x 0 Use the graphing tool to graph the region R Click to enlarge graph Describe R as a regular x region or a regular y region whichever is simpler Choose the correct answer below and fill in the answer boxes to complete your choice OA R x y h y x k y OB R x y g x y f x sys where h y x where g x and k y and f x 2 1 5 Ay 4 3 2 4 4 2 3 4 5

13 Following is the graph of f x x Describe the vertical horizontal translations and the vertical stretch or compression and sketch the graph y g x 3 x 2 1 Label the new positions of points A B and C after the translation on the graph of y g x

Is there a basis B of R2 such that B matrix B of the linear transformation T J is upper triangular

Which of the following statements about JK and JL is true 8 7 y 6 5 4 3 2 4 J 2 4 K 7 8 2 3 4 5 678 L 1 1 X A JK is 9 units long OB JK and JL are the same length OC JL is longer than JK O D JK is longer than JL

Find the length of CD 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 C 3 2 D 7 8 O A About 7 2 units B 10 units OC 52 units OD About 3 2 units

11 If m A 2x 5 and m C 3x 20 what is m A and m C 3 points D I

From the last problem we figured out that x 12 23 38 24 83 25 59 Now it is time to describe some of the other angle relationships m2MAY Select all that apply 23 24 28 25 24 25 142 0121 by the Angle Addition Postulate M B 3 Q S A R

Three business partners Shelly Ann Elaine and Shericka share R150 000 profit from an investment as follows Shelly Ann gets R57 000 and Shericka gets twice as much as Elaine How much much money does Elaine receive A R 124 000 BR 101 000 C R 62 000 DR 31000

11T 6 Use the x y coordinates in the figure to find the value of tan or state that the expression is undefined Select the correct choice below and if necessary fill in the answer box to complete your choice O A 11x 6 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize the denominator OB The expression is undefined tan 1 3 2 2 3 1 2 2 3 2 1 0 2 1 2 2 0 1 0 1 T 3 T 166 1 0 1 3 2 2 3 1 2 2 3 2 2 7 2 3 2 X