Geometry Questions

Sketch a net of the prism Then use the net to find the surface area of the prism by finding the sum of the areas of its faces cm 3 cm 5 cm 1 cm 5 cm 6 cm

The polygon shown is formed by joining unit squares on dot paper Find the perimeter of the polygon units

8 Triangle FGH is similar to AKJH F 45 70 G H MAGAY zmy 65 K

Changing Long Phrases to One Word Long Phrase In the event that At this point in time With regard to In the first place Is of the opinion that Due to the fact that Make revisions Take into consideration With the exception of One Word

Revise the following long sentences making them shorter 1 I will be calling you on May 31 to see if you have any question at that time 2 If I can be of any assistance to you in the evaluation of this proposal please feel free to give me a call

A good example for a reference of a is the following Cenati A Z 1987 Advances in 5G technologies and impacts on public health Oxford UK Select one O O a conference article b book c scientific paper O d book chapter

9 B H ABC bir dik gen m A 90 ve AH BC IBCI 6 1AHI IACI IABI Yukar daki verilere g re IABI IACI B 3 C 4 A 2 C toplam ka t r D 6 E

B 50 85 ekilde m BAC 85 m DBC 50 m ACB 15 oldu una g re a a dakilerden hangisi yanl t r A IBDI IDCI IABI C IADI IDCI IBCI 15 B IABI IBDI IBCI D IADI IBDI IDCI E JADI IABI IBCI

Question Write an equation for the line passes throug 5 1 and is parallel to the line 2x 5y 15 Solution Firstly we should find the slope If the lines are parallel then m m Consider the given equation 2x 5y 15 We can write it in the following form 2 y x 3

Question Write an equation for the line passes through 2 3 with slope 1 2

5x 7 0 a Find the slope and y intercept if possible of the equation of the line algebraically Use a graphing utility to verify you answer If an answer is undefined enter UNDEFINED Enter NONE if there is no y intercept slope 5 y intercept O x y b Sketch the line by hand Use a graphing utility to verify your answer No Solution 0 10 9 8 7 6 5 3 2 1 10 9 8 7 6 5 4 2 2 3 4 5 6 8 1 2 Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

5 Consider a disk D of radius 1 We say a collection of shapes hides D if we can place the shapes from that collection on top of the disk in such a way that each point of the disk is under some part of at least one of the shapes For example D can be hidden by a single disk of radius greater than or equal to 1 However D cannot be hidden by a single disk of smaller radius than 1 As another example D can be hidden by 7 disks of radius 3 4 by placing one radius 3 4 disk at the center and the remaining radius 3 4 disks around the edge of D as follows a Find the smallest radius r so that two disks of radius r hide D and any disk of radius less than r cannot hide it b What is the smallest radius r you can find such that four disks of radius r can hide D c What is the smallest radius r that you can find such that five disks of radius r can hide D You don t need to prove this radius is optimal you only need to show that you found a solution with your radius r With the radius you found can you hide D in such a way that the centers of the disks are not vertices of a regular pentagon

COS cos arc tan 5 12 ifadesinin de eri

8 5 PUAN B C ABC e kenar geninde DE AC AD 4 DC ve m BDC a oldu una g re cota ka t r

Phillip decides to invest 800 000 in a period annuity that earns 5 2 APR compounded monthly for a period of 20 years How long will it take Phillip to earn back his initial investment OA 11 5 years OB 10 5 years O C 12 4 years O D 11 years

Which describes a financial product offered by insurance companies thal IL return for an investment provides fixed payments each month for the remainder of a person s life A Social Security O B Lifetime annuity C Period annuity

Claire wants to have an income of 45 000 a year when she retires She finds a CD that offers 5 2 APR compounded annually and she also finds a period annuity that offers 5 2 APR compounded monthly for 20 years How much more money would Claire need to invest in the CD than in the annuity in order to reach her goal OA 412 675 23 OB 577 849 89 OC 306 562 27 D 937 500 00

Which describes a financial product offered by insurance companies that in return for an investment provides fixed payments each month for a certain amount of time OA Period annuity B Lifetime annuity OC Stock investment

Tracy invested in a lifetime annuity that begins payments at age 65 Her life expectancy is 87 Tracy invested 800 000 in the annuity which earns 4 5 APR compounded monthly With this annuity what is Tracy s monthly payment amount A 4898 56 B 5123 89 4500 00

The scatterplot that represents the monthly values of stock QRS has an r value of 0 993 Which best describes the correlation of the graph OA Strong negative correlation B Strong positive correlation OC No correlation O D Weak correlation

What is the name for a measurement of how two variables are related O A Correlation OB Prediction C Regression

Day 1 2 23 3 4 5 Value 3 938 6 891 12 059 21 103 36 929 OA y 2 25 1 75 OB y 2 85 1 55 O C y 2 75 1 25 OD y 2 55 1 75

The table below represents the closing prices of stock TUV for the first five days it was open Using your calculator what is the equation of exponential regression that fits these data Day 1 2 3 4 5 Value 3 938 6 891 12 059 21 103 36 929 A y 2 25 175X

The equation y 5 171 28 fits the graph of stock XYZ over the past month with an value of 0 9936 How much do you think XYZ will be worth at x 18 days OA 439 81 OB 180 16 C 517 92 OD 993 60

The equation y 94 38x 38 17 fits the scatterplot of the values for stock ABC over the past month with an r value of 0 9948 How much do you think ABC will be worth at x 47 days OA 38 17 B 4474 03 C 4752 31 D 94 38

The table below represents the closing prices of stock ABC for the last five days Using your calculator what is the equation of linear regression that fi these data Day 1 234 5 Value 24 31 23 31 23 01 23 16 23 27

What is the name of the relationship when the function used to fit the data is a line O A Correlation OB Linear regression C Exponential regression

11 For a figure such as an X Y Scatter plot of a standard curve on which axis is the independent variable and dependent variable found on

The table below represents the closing prices of stock ABC for the last days What is the r value of the linear regression that fits these data Day 1 2 3 4 5 Value 472 08 454 26 444 95 439 49 436 55 A 0 75421

Parallelogram 2 does the transformed O A IV OB III O C II 1 D I 3 4 is transformed using parallelogram land in 1 Which quadrant

1 0 0 1 transformed parallelogram Use O A OB O C to reflect 3 4 3 4 1 4 1 3 4 4 1 over the y axis Identify th

Vector A is transformed to vector B Identify the transformation B 54 5 5 4 3 2 1 4 32 1 0 AV 1 2 3 4 5

97 8 was transformed to OA OB C D B 8 9 8 9 using 0 1 1 was rotated 90 clockwise was reflected over the x axis was reflected over the y axis Identify the transformation was rotated 90 counterclockwise

Select the matrix that represents the parallelogram 5 5 LC 0 5

15 The shadow of a tree is 24 feet At the same time the shadow if a 6 foot tall person is 4 5 feet How tall is the tree

LO1234 3 n figura de mai jos punctele B A C respectiv E A D sunt coliniare iar EB CD Completa i caseta pentru a ob ine propozi ii adev rate E AB AC L0123 abiul ABC are laturile AB 6 cm BC 10 cm i AC 12 cm

Triunghiurile ABC i DEF sunt asemenea Afla i a perimetrul triunghiului ABC dac perimetrul triun ghiului DEF este egal cu 22 cm i 1 5 AB DE b coeficientul de propor ionalitate dac perimetrul triunghiului ABC este de 5 ori mai mare dec t al triunghiului DEF

Select the matrix that represents the vector 10 5 10 5 0 5 5 10

3 Vector was transformed to vector 6 A B C D 8 6 3 6 9 18 3 6 What was the transformation was multiplied by the transformation matrix was multiplied by the scalar 2 was multiplied by the transformation matrix 6 was multiplied by the scalar 3 12

Use vector 0 O A OB O C 1 to rotate 2 12 12 27 12 12 90 clockwise Identify the transform

ph t fy x 4 x y 0

AMNP dreptunghic m 4N 90 NR n l ime n triunghi a NR 4 cm RP 8 cm afla i MR MP MN NP

What is the length of the longer side What is the length of the shorter side ft 2x 1 7x 5x 6 ft 3x 3x 7x 4x 3 3x 2

28 Study the graph 120 90 10 Go 90 2

Given a right prism where p is the perimeter of the base h is the height BA is the area of the bases and LA is the lateral area what is the surface area Check all that apply A SA 10 B SA BA ph C SA p LA 16 LA D SA BA LA E SA 16 LA

To find the surface area of a three dimensional figure you must find the area of each of its faces and then multiply the areas OA True B False

Which formulas can be used to find the surface area of a regular pyramid where p is the perimeter of the base s is the slant height BA is the base area and LA is the lateral area Check all that apply A SA BA LA B SA BA ps C SA BA ps D SA BA LA

Find the value of the variable so that DE BC 11 E 13 25 Find the value of the variable 11 20 20 D X 14 B 8 12 14 B 8 C 6 D 6 E X 4 12 x 6 5 A

K Determine the amplitude and period of the given function Graph the function 1 2 y 3 sin The amplitude is 3 Simplify your answer Type an exact answer using as needed The period is 4x Simplify your answer Type an exact answer using it as needed Use the graphing tool to graph the function Type pi to insert as needed Click to enlarge graph C 8x 6x 4x Ay 10 2x 8 6 4 2 2 4 4 6 do 40 2x 4x 6x

Pure sounds produce single sine waves on an oscilloscope Find the amplitude and period of the sine wave graph On the vertical scale each square represents 5 on the T horizontal scale each square represents 30 or 6 Ay AVA S The amplitude is Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression