Geometry Questions

What is the equation of the circle pictured 8 6 O x 2 y 3 16 O x 2 y 3 16 O x 2 y 3 4 O z 2 y 3 4 2 2

Find the best match for each label in the diagram Center Diameter Chord Radius

POSSIBLE POINTS 2 Given the equation of a circle x 1 y 4 25 what statements below are TRUE Select all that apply O The center of the circle is 1 4 O The center of the circle is 1 4 The radius of the circle is 25 units O The radius of the circle is 5 units O 1 10 O 5 7 is on the circle on the circle

A B Use the diagram to complete the statements This is circle If the distance from A to C is 6 units then the distance from C to B is units

please help me find the length of all sides of this kite Complete solution please thank you 5 cm C 45 45

The plane P passing through the points A 1 1 1 B 1 2 1 C 1 2 4 is given While a and t are scalars if the plane P is parallel to the line d t then in which option is the value 2a a given A 1 B 3 C 2 D 4 E 4

Use addition of y coordinates to sketch the graph of the funcation y 3 3sinx between x 0 and x 4pie

A 85 b 127 c 266 B C a 266 m G 859 127 m Carry your intermediate computations to at least four decimal places Round your answer to the nearest tenth of a meter

d Sport Venue a Figure 1 b Estimate the area of the base of the Sport Venue quadrilateral you sketched in Figure 1 by using Trapezoidal rule and Simpson s 1 3rd rule with any number of strips at least 8 strips of your choice Show Transcribed Text

Find the image of A 4 2 after it is reflected over the line y 2 then reflected over the line x 2 8 6 0 2 0 6 8 2

If T x y x 3 y 2 then T 1 x y x 3 y 2 x 3 y 2 3x 2y

RS bisects LWRV If mZWRS 5x 3 and m WRV 7x 15 find m SRV Draw a picture

You play darts with a friend The board is a circle with a 6 inch radius The Bull s Eye is a smaller circle in the center the board with an 0 25 inch radius You throw darts small metal arrows at the board At the end of six weeks she has thrown 500 darts She hit the board every time and hit the Bull s Eye 1 time If you throw 500 darts how many times should you expect to hit the Bull s Eye by random chance Compare this result to your friend s result Is she a skilled player for hitting the bull s eye or is the result of hers expected

What is the process used to determine if a point lies on the unit circle Use the Pythagorean theorem where c radius of the unit circle Use the ratios for the special right triangles Find the point in the Mini table Use the midpoint formula None of the choices c d e

The table below shows the amount of time a light stays green red and yellow for one cycle during the day and during the night Day Light is green 2 minutes Light is red 3 minutes 4 minutes Light is yellow 20 seconds 30 seconds Is it more likely for you to have to wait at red light during the day or at night How much more likely Night 3 minutes

8 Find xif m UOR 3x 10 mzPQU 48 and m PQR 6x 2 U P

Consider the graph and the given points A 5 6 B 5 2 Step 2 of 3 Find the y intercept if there is one Enter your answer as an ordered pair 10 rrect 5 Enable Zoom Pan 10

Given that f x sin x g x cos x h x tan x F x csc x G x sec x and H x cotx 7T 4 7T b Find F What point is on the graph of F 4 c Find H 120 What point is on the graph of H a Find g What point is on the graph of g 7x a g 4 Type an exact answer using radicals as needed 1 2 The point on the graph of g b F 1 2 Type an exact answer using radicals as needed Type an integer or a fraction 7x 4 7 4 is The point on the graph of F 7x 2 4 Type an exact answer using radicals as needed 75 S is 2 4 4 Type an exact answer using radicals as needed Type an integer or a fraction 7t c H 120 Type an exact answer using radicals as needed

Two friends race against each other in 100 meter and 800 meter races Of the 200 races they ran this year the wins losses and ties are shown below 100 meter Event D 800 meter Event E A won the race Event A 30 50 B won the race Event B 60 A and B tied Event T 10 25 25 What percentage of all the races are ties If someone wins the race today is it more likely for A to win or B to win How much more likely

Consider the graph and the given points Step 1 of 3 Find the slope 10 Correct A 5 6 B 5 2 107 Enable Zoom Pan

If f x csc x and f a 13 find the exact value of the following a f a b f a f a 2x f a 4x a f a Simplify your answer Use integers or fractions for any numbers in the expression

Osman broke the unusually shaped window in his parent s living room The figure shows the dimensions of the window Replacing the glass costs 8 per square foot What is the cost Round to the nearest dollar 5 ft 4 ft

Kele has been offered a job to paint the outside of a barn If one gallon costs 35 and covers 400 square feet How much will it cost to paint the barn with one coat The picture shows the dimensions of the barn Save 4 ft 30ft 38ft What is the area of the sides What is the area of the front and back ft 77ft What is the area of the gable ends the triangle at the top of the front and back ft What is the surface area of the paintable region of the barn How many gallons will it take to paint the barn gallons a Does not need paint How much will it cost to buy those gallons

You are playing Monopoly with a friend She owns and has developed Park Place and Boardwalk with hotels If you roll an 8 you will land on Park Place and owe her 1500 You will be able to pay but you will not have money left afterward If you roll a 9 you will land on Luxury Tax and have to pay 75 If you roll a 10 you will land on Boardwalk and owe her 2000 which is more than you can pay and lose the game If you roll a 7 or less you will not have to pay any money to anyone Your friend offers you insurance Pay her 500 before you roll and even if you land on Boardwalk or Park Place you will not have to pay any additional money However if you roll a 7 you will have to pay her 1000 Use probabilities to find expected values Then compare the amount of money you should expect to pay out on average under her insurance and by chance Is her deal fair

Consider the following y intercept and slope 0 2 m 2 Step 2 of 2 Determine the graph of the line with the given y intercept and slope Answer Keybo The point given for the y intercept 0 2 is marked on the graph Points can be moved by dragging or using the arrow keys Any lines or curves will be drawn once all required points are plotted and will update whenever a pa Enable Zoom Pan 102

Which of the following graphs shows the Blue line translated 3 in the x direction and 2 in the y direction Select one O 5 O 5 5 S 0 5 5

The Venn Diagram below models probabilities of three events A B and C A blue green B green yellow C Red only The probabilities for each event are given by the ratio of the area of the event to the total area of 72 For example E C is Red Only Area of Red Total Area So for the probability of Event C you have P C 18 1 18 12 6 72 4 0 25

2 E U19 8m 12 in 6 m 6 in 6 m Perimeter Perimeter Area Are

using the intercept method find all real solutions to the equation x 3 4x 3 x 2 2

5 Formula for area of a parallelogram Formula for area of a trapezoid 6 What is the shape below Formula for area of a triangle 8 cm Formula for area of a rhombus Find its area be sure to label your answer 16 cm

maximum safe incline for a ramp is B 5 degrees Is this ramp safe If not provide dimensions that would make the ramp safe 95 15 Hide Transcribed Text 4 Lesson 9 Practice Problem Ramps in a parking garage need to be both steep and safe The maximum safe incline for a ramp is 8 5 degrees Is this ramp 2 TS

Determine if the scenario involves mutually exclusive events A bag contains six yellow jerseys numbered one to six The bag also contains four purple jerseys numbered one to four You randomly pick a jersey It is purple or has a number greater than five Mutually Exclusive Not Mutually Exclusive

The numbers 1 through 15 are written on cards One card is chosen at random Event A is choosing a multiple of 5 Event B is choose an even number What is the probability of choosing an odd number 1 15 3 5 4 5 OLAF

Find the probability Leave your answer in simplest fraction form A six sided die is rolled A number less than 5 or an even number is rolled

Find the probability Leave your answer in simplest fractio form A magazine contains fourteen pages You open to a random page The page number is three or seven

Determine if the scenario involves overlapping events A six sided die is rolled A number less than 4 or a number greater than 4 is rolled O Overlapping O Not Overlapping

2 cos Z N 16 20 Y 12 X

or school performance a researcher collected data from 120 students The two way frequency table shows the number of students who passed and failed an exam and the number of students who got more or less than 6 hours of sleep the night before The results are shown in the table below Less than 6 hours of sleep More than 6 hours of sleep Total Question 1 50 Passed Exam Failed Exam Question 2 12 90 102 10 8 18 Total 22 98 120 To the nearest percent what is the probability that a student who failed the exam got less than 6 hours of sleep Do NOT include the percent symbol 0 2 pts 0 2 pts To the nearest percent what is the probability that a student who got less than 6 hours of sleep failed the

G is an enlargement of G Find the centre 0 0 scale factor 5T 5 5 G G 5

B is an enlargement of B Find the centre 5 scale factor 5 T B OB 0 0 2 2 5 5

48 PREPARING FOR MONDAY Factor the following quadratics a x 12x 32 b x 18x 81 C 1 x 14x 49

Geometry 3 A car dealership sells new and used cars SUVS and trucks They recorded the type of vehicle and whether it was new or used for the past 200 sales Complete the missing joint and marginal frequencies in the table below Type of Vehicle Car SUV Truck Mikayla Morris Two Way Tables Practice pdf Total New 41 124 New or Used Used 36 16 Total 91 65 4 Create a relative frequency table using the table from 3 by filling in all joint and marginal relative frequencies Type of Vehicle Car SUV Truck Total New New or Used Used Total

Use for questions 7 8 Students on a field trip were given choices for a quick breakfast They could choose milk or orange juice OJ for their drink then a muffin bagel or oatmeal 7 The number of students who chose each item is shown in the first table Complete the second table with the relative joint and marginal frequencies Breakfast llem Muffin Bagel Oatmeal Total Milk 8 18 4 30 Drink Choice d P oatmeal milk 85482 OJ 20 16 90 Total 28 72 20 120 Breakfast Item Muffin Bagel Oatmeal Total 8 If a student on the field trip is chosen at random find each probability a P orange juice b P not a bagel Milk e P orange juice muffin Drink Choice OJ c P milk with muffin Total f P bagel or muffin milk

2 Write the equation of the circle below Center Equation Radius

5 What is the radius of Circle A given x 5 y 7 8 a 4 b 8 c 4 2 d 2 2

3 The equation of circle A is x 7 y 2 25 Circle B has the same center as circle A but has diameter of 14 Write the equation of circle B

4 Write the equation of a circle with center 7 0 with radius 3 x 7 y 9 x y 7 9 x 7 y 3 x y 7 3

1 Write the equation of the circle 8 Center 7 6 5 3 A 2 T Radius 2 1 0 2 b 6 1 2

1 Avalon High School is changing their school colors and mascot They surveyed 125 students to ask their preference on the changes Complete each table by filling in the missing joint and marginal frequencies Answer the questions that follow to the right a How many students prefer the Hawks ascot Hawks Eagles Blue Black 25 32 Colors Red Silver 52 Total 48 b How many students prefer blue black c How many students prefer the Eagles

Drections Fnd each probability using the data given in the table The employees of a company were asked they are mored and if they have children ien 30 b Pinot married but with children s Pin den