Geometry Questions

Which of the following terms correctly describe the object below Check all that apply A Pyramid B Polygon C Prism D Polyhedron E Solid F Cube

Any polygon can be the base of a prism O A True O B False

A pyramid has cross sectional shapes taken parallel to its base that are to one another O A equivalent OB congruent O C similar O D equal

How many faces does a pyramid with a square base have OA Five OB Eight O C Seven OD Six 0

of the following terms correctly describe the object below Check all that apply A Square B Polygon C Prism D Polyhedron E Pyramid F Triangle

What is another name for the height of a prism OA Lateral face OB Altitude O O C Length O D Depth

A is a solid consisting of two polygons that are parallel to each other and all points between them A prism B triangle OC pyramid D cube

What is the sum of the two vectors 1 4 and 3 5 O A 5 8 OB 2 1 O C 0 1 D 3 20

What is the length magnitude of the vector 2 1 A 1 OB 2 O C 2 D 5

Evaluate the dot product of 1 2 and 3 3

If the dot product of two nonzero vectors V and V2 is zero what does this tell us A V is perpendicular to V OB V is a component of V2 C v is parallel to V OD V V

What is the projection of 3 4 onto 3 1 OA 0 7 3 1 OB 0 7 2 4 OC 1 3 2 4 OD 1 3 3 1

You may need to use the appropriate technology to answer this question Three different methods for assembling a product were proposed by an industrial engineer To investigate the number of units assembled correctly with each method 36 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 12 workers The number of units assembled correctly was recorded and the analysis a variance procedure was applied to the resulting data set The following results were obtained SST 12 050 SSTR 4 520 a Set up the ANOVA table for this problem Round your values for MSE and F to two decimal places and your p value to four decimal places Source Sum Degrees of Variation of Squares of Freedom Treatments Error Total Ho H H H3 Ha H1 H H3 Ho M M M3 H b Use a 0 05 to test for any significant difference in the means for the three assembly methods State the null and alternative hypotheses Not all the population means are equal H i Minh Khay i t H H1 H 13 Mean Square Ho At least two of the population means are equal H At least two of the population means are different Ho Not all the population means are equal Hai H H H3 F p value Find the value of the test statistic Round your answer to two decimal places

What is the projection of 3 4 onto 3 1 O A 0 7 3 1 OB 0 7 2 4 O C 1 3 2 4 O D 1 3 3 1

Which of the following vectors are orthogonal to 1 5 Check all that apply A 1 5 B 10 2 C 5 1 D 2 5

Evaluate the following expression 3 1 1 4 2 O A 4 1 O B 3 2 O C 0 4 O D 1 1

A n has both a magnitude and a direction 327 O A angle OB scalar C component O D vector

Let v 8 4 and w 4 2 Which of the following is true Check all that apply A The y component of w is 2e2 B v w 40 C The x component of v is 4e D V 2W

Evaluate the following expression 2 1 1 4 0 1 Enter your answer as a vector

An electrician worked 28 hours a week for half a year If his hourly wage was 25 how much did he earn during this time period OA 700 OB 36 400 O C 350 D 18 200

Find the slope intercept form of the equation of the line shown mje 15 4 1

Troy worked for 3 hours and 15 minutes How should he write that on his time card A 3 25 OB 3 75 OC 3 15 OD 3 5

If y represents total earnings in dollars and x represents hours worked then which equation models the wages of someone who makes 11 50 an hour O A x 1150x B y 1150x C X 11 50x D y 11 50x

An office administrator earns 16 an hour and she works 48 hours a week What is her weekly wage OA 768 OB 336 O C 64 OD 112

Kunal s hours worked and corresponding total earnings are shown in the graph What would Kunal s total earnings be if he worked 13 hours Hint What is his hourly rate Total earnings 75 150 25 D 1 2 Hours worked O A 650 B 975 O C 1300 D 325 3

Luke earned a salary of 48 048 last year How much did he earn a month OA 572 OB 4004 OC 6864 OD 924

Miguel earns 490 a week and he works 5 days a week What is his daily wage OA 495 OB 98 OC 70 OD 485

A computer programmer earned 1043 a week last year What was her yearly salary A 55 279 B 56 322 C 53 193 D 54 236

After finishing his shift a cashier wrote 2 25 under hours worked on his time card How long did he work O O A 2 hours and 25 minutes B 2 hours and 15 minutes C 2 hours and 50 minutes D 2 hours and 5 minutes

Many simple three dimensional figures ale A weight B altitude C width D height E length

One can use two dimensional objects to build three dimensional objects A True B False

A point is one dimensional OA True B False

The and A length B height C weight D width E volume of many two dimensional figures can be measured

In geometry a solid may exist in a plane A True B False

When the Cartesian coordinate system is used to describe three dimensiona space one needs three axes These axes are typically called the and axes A y B V C Z D X E a

How many dimensions does a plane have OA Three OB Two O C One O D Zero

Which of the following is the standard notation for a point in a three dimensional Cartesian coordinate system A x y v OB x y z C x y z OD w x y

Which of the following geometric objects occupy one dimension Check all that apply A Ray B Point C Triangle D Line E Segment F Plane

Many rules concerning two dimensional geometry have three dimensiona analogues OA True B False

What is the volume of the cylinder below OA 45 units OB 727 units 3 C 90 units 3 3 O D 36 units 3 5

Find the volume of the prism www cs OA 210 units OB 168 units 3 OC 168 units C D 210 units3 8 7 10 6

What is the volume of the cylinder below A 64 units OB 1024 units OC 128 units OD 256 units 8

What is the volume of the cylinder below OA 288 units OB 432 units O C 324 units O D 216 units 9 6 8

What is the volume of the cube below O A 9h OB 9h O C 6h D 3h h 3 3

Cavalieri s principle states that two solids with equal heights and cross sectional volumes at every level have equal areas OA True O B False

The volume of a cylinder is the base B times the length of its height h Which of the following is the formula for the volume of a cylinder A V Bh OB V 2BW O C V Bh D V Bh

What is the volume of the cylinder below A 968 units OB 352 units OC 1815 units OD 204 units 11 15

What is the volume of the regular pyramid below 5 C 5 OD 96 units3 OA 75 units OB 225 units O C 135 units

Find the volume of the pyramid below 13 10 12 10 A 1300 units3 OB 433 units OC 1200 units OD 400 units3

What is the volume of the cone below 22 6 OA 792 units OB 132 units C 264 units3 OD 396 units